
iWM«) iJ.'»i)i!,'v iifi;il':;i:^ 

■ ili la-iiS''^ 
ilMiliteiS:,.... 



A SYSTEM OF 
GEOMETRY AND TRIGONOMETRY, 

WITH A 

TREATISE OJT SURTEYING? 

COMPRISING VARIOUS METHODS OF TAKING THE SURVEY OP A 

FIELD, WITH DIRECTIONS FOR PROTRACTING 

AND FINDING AREAS : 

IN WHICH, ALSO, THE PRINCIPLES OF 

RECTANGUIiAR SURVEYING, 

BY WHICH AREAS MAY BE ACCURATELY CALCULATED WITH- 
OUT PLOTTING, ARE FULLY EXPLAINED : 

WITH A COMPLETE SERIES OF 

MATHEMATICAL TABLES, 

AND THE NECESSARY EXPLANATIONS, 



BY ABEI. FMNT, A. M. 

WITH IMPROVEMENTS 

BY GEORGE GILLET, 

SURVEYOR GENERAL OF CONNECTICUT. 



SIXTH SDITXON, 

REVISED AND ENLARGED, BY THE ADDITION OP COPIOUS 
NOTES AND ILLUSTRATIONS, AND A CONCISE 

TREATISE OI^LOGARITHMS, 
BY FKEDERIC A. P, BARNARD, A. B, 

INSTRUCTOR IN MATHEMATICS IN THE HARTFORD GRAMMAR SCHOOL, 
AND AUTHOR OF A TREATISE ON ARITHMETIC. 



) 



HARTFORD : 

PUBLISHED BY COOKE & CO. 
FOR SALE BY THE PRINCIPAL BOOKSELLERS IN THE U. STATES. 

1830. 



DISTRICT OF CONNECTICUT, ss. 

Be it Remembered, TLat on the second day of August, in 
J^, S» ^e fifrr-fifth year of the Independence of the United States 

of America. Oliver D. Cooke of the said District, hath deposited 
in this Office, the title of a book, the ri^ht whereof he claims as pro- 
prietor, in the words following to wit : '• A system of Geometry and 
Trigonometry, with a Treatise on Surreying ; comprising various 
methods of taking the survey of a field, with directions for protracting 
and finding areas ; in which, also, the principles of Rectangular Sur- 
veying, by which Areas may be accurately calculated without plotting, 
are fully explained : with a complete series of Matheraatical Tables, 
and the necessary explanations. By Abel Flint. A. M. With im- 
provements by George Gillet, Surveyor General of Connecti- 
cut. Sixth edition, revised and enlarcfed, by the addition of copi- 
ous notes and illustrations, and a concise Treatise on Logarithms, by 
Frederic A. P. Barnard, A. B. instructor in Mathematics in the Hart- 
ford Grammar School, and Author of a Treatise on Ariihinetic.*' In 
conformity to the act of Congress of the United States, entitled," An 
act for the encouragement of learning, by securing the copies of Maps, 
Charts, and Books, to the authors and proprietors of such copies, during 
the times therein mentioned." And also to the act entitled. *' An act 
supplementary to an act, entitled. ' An act for the encouragement of 
learning, by securing the copies of Maps, Charts, and Books, to the 
authors and proprietors of such copies, during the times therein men- 
tioned,' -- and extending the benefits thereof to the arts of designing, 
engraving, and etching historical, and other prints. 

CHARLES A. LXGERSOLL, 

Ckrk ofihi District of Conneciicut 

A true copv of record, examined and sealed bv me, 
CHARLES A. INGERSOLL, 

CUrk ofihi. JJistrict of Conntciicui. 

#^^ ^ ^. 






S-^87SP^ 



A DVERTISEMENT 

TO THE SIXTH EDITIOJ^. 



The original compiler of the following work designed, in 
preparing it, to furnish a plain and concise system of prac- 
tical SURVEYING, for the use of practical men. That he did 
not fail of success, has been sufficiently proved, by the high 
estimation in which this treatise has been, and is, at the 
present time, held by surveyors, and by the continued and 
increasing demand for it, from the public. 

In the present edition, the publishers have used every 
exertion to render it still more worthy of patronage. The 
valuable articles furnished to the fifth edition of the work, 
last published, by George Gillet, Esq., Surveyor General 
of the state of Connecticut, are retained in this. They will 
be found to contain a system of useful instructions for the 
practical surveyor, which cannot be elsewhere found. 

Additional matter has likewise been inserted in the present 
edition. These additions, when entirely independent of any 
thing previously contained in the book, or when substituted 
as an improvement for something omitted or altered, are 
inclosed in brackets, or are inserted in the form of a note 
at the foot of the page. Omissions, and alterations from the 
original work, however, are very few, and have only been 
made, where they were demanded by obvious necessity. 

Alterations in phraseology , will be found more numerous, 
and these have been made, wherever it was believed that 
they would either render the meaning more clear, or the 
language more concise. In this respect, the present edition 
will be found decidedly improved. 



iv ADVERTISEMENT. 

Prefixed to the tables will be found a brief explanation of 
the nature and use of logarithms. It has been a defect in 
former editions, that this subject has not been more fully 
treated. 

A very distinguishing feature, likewise, of the present edi- 
tion, is the introduction of a new and elegant set of tables, 
more extensive and on plainer type than those which have 
before been attached to the work. The decimals are carried 
to six figures, instead of five, as formerly, and a column of 
difi'erences is added, for the purpose of finding intermediate 
numbers. For many purposes, sufficient accuracy may be 
perhaps attained by the use of logarithms, extending only to 
five, or even four decimal places, but others v>ill likewise 
occur, in the experience of every surveyor, in which such 
logarithms will not answer the purpose. But if logarithms 
are carried to six places, they may be taken to as few, or as 
many, within that limit, as is desired. 

The above constitute the principal peculiarities of the 
present edition. 

Hartford, Augfust 2nd. 1830. 



PREFACE TO THE FIRST EDITIOX. 



The following work is chiefly a compilation from other Books ; 
and but very little new is added, except a more full explanation, than 
has yet been published, of Rectangular Surveying, or the method 
of calculating the area of fields arithmetically, without drawing a plot 
of them and measui'ing with a scale and dividers, as has been the com- 
mon practice ; and also a more particular explanation of the use of 
natural sines than is contained in most mathematical books. 

The compiler has endeavoured to render this work so easy and in- 
telligible that a learner will require but little assistance from an In- 
structer, except with regard to the construction and use of mathemati- 
cal and surveying instruments. Before, however, he enters on the 
study of this book, he must be well acquainted with common Arithme- 
tic, with decimal fractions, and the square root ; and he must also 
know the various characters or marks used in Arithmetic. 

A surveyor will doubtless find many questions arise in the course of 
his practice, for the solution of which, no particular directions are 
here given ; nor is it possible to give directions for every case that may 
occur. In all practical sciences much must be left to the judgment of 
the practitioner, who, if he is well acquainted with the general princi- 
ples of his art, will readily learn to apply those principles to particular 
cases. 

The primary design of this treatise is to teach common Field Survey- 
ing ; at the same time it contains the elements of Surveying upon a larger 
scale ; and the system of Geometry and Trigonometry with which it is 
introduced, with the problems for the mensuration of superficies, as also 
the mathematical tables at the end, will be found useful for many other 
purposes. It would be well, therefore, for those who do not intend to 
become practical surveyors to acquaint themselves with what is here 
taught ; and v/itli this view the following work is very proper to be in- 
troduced into academies and those higher schools which are designed to 
fit young men for active business in life. Indeed every person who 
frequently buys and sells land should learn to calculate the contents of 
a field arithmetically ; a knowledge which may be acquired in a very 
little time, from the particular explanation here given of that method. 

Notwithstanding the many books already published on the subjects 
here treated upon, it was thought a work of this kind was really want- 
ed, and that if judiciously executed it would be useful. It is more par- 
ticularly necessary at the present time in Connecticut, as the legisla- 
ture of the State have lately enacted a law on the subject of surveying, 
hi consequence of which more attention must be paid to the theory of 
that art than has been common. 

These considerations induced the compiler to select from various 
publications what appeared to him important ; and to arrange the 
whole in a method best adapted, in his view, for teaching that useful 
art. How far he has succeeded in his endeavours to simplify the sub- 
ject, and render it easy to the learner, must be submitted to the test of 
experience. 



A GEXERAL VIEW OF THE CONTENTS OF THIS WORK. 

Tee system of Geometry is divided into two parts. The first con- 
tains g-eometrical definitions respectin?^ lines, angles, saperficies, A:c. 
The second part contains a number of geometrical problems necessary 
for Trig-onometry and Sarreying. 

The system of Trigonometry is also divided into two parts : and 
teaches the solution of questions in right and oblique angled trigonom- 
etiy, by logarithms and also by natural sines. 

The treati^ on Surveying is divided into three parts. Part first 
treats of measaxing land, and is divided into three sections. The first 
contains several problems respecting mensuration, and for finding the 
area of various right-lined figures and circles. 

The second section teaches different methods of taking the Survey 
of fields ; also to protract them, and find their area in the manner com- 
monly practised, and likewise by arithmetical and trigonometrical cal- 
culations, without measaiing diagonals and perpendiciiars with a scale 
and dividers ; interepeareed with sundry useful rules and directions. 

The tliird section is a particular explanation and demonstration of 
Rectasgllab. SrRVETixG, or the method of computing the area of 
fields fi-om the field notes, by mathematical tables, without the necessi- 
ty of plotting the field. To this section is added a useful problem for 
ascertaining ihe true area of a field which has been measured by a chain 
too long or too short. 

Part second treats of laying oot land in various shapes. 

Part third contains sundry problems and rules for dividing land and 
determining the true course and distance of dividing lines, or from one 
part of a field to another. To this is added an appendix concerning 
die variation of the compass and attraction of the needle : also, a rule 
to fed the di^erence between the prf^sent variation, and that at a time 
wljem a tract was formerly surveyed, in order to trace or ran out the 
oriainal lines. 

The mathematical tables, are a traverse table, or table of difference 
of latitude and departure, calculated for every degree and quarter of a 
degree, and for any distance up to 30 ; a table of natural sines calcula- 
ted for exerj minute ; a table of logarithms comprised in four pages, 
yet suffidently extensive for common use ; and a table of logarithmic 
or artificial sines, tansrents. and secants, calculated for every 5 minutes 
of a degree. To these tables are prefixed particular explanations of 
the manner of using them-* 

* This view of the contents was drawn up by Mr. Flint, and refers 
of course to the original edition. 



ERRATA. 

Page lb, line 14 from top, for oMruse, read oUuse, 
19, fig. 38, traaspQBe letters A aod C. 
77, m ^ sale at die loot cf 1^ page, strike out tlie letter D, afier 130.5. 



GEOMETRY. 



GEO-METRY is a Science which treats of the properties 
of magnitude. 

PART I- 

Geometrical Definitions. 

1. A point is a small dot ; or, mathematically considered. 
is that which hasnopEirts, being of itself indivisible . 

2. A line has length but no breadth. 

3. A superficies or surface, called also area, has length and 
breadth, but no thickness. 

4. A solid has length, breadth, and thickness. 

5. A right line is the shortest that can be draisna between 
two points. 

Fi£. 1. 



6. Th'e inclination of two lines meeting 
one another, or the opening between them, 
is called an angle. Thus at B. Fig. 1. is 
an ansrle. formed bv the meeting of the 
lines AB and BC. 




7. If a right hne CD. Fig. 2. fall upon 
another right line AB, so as to incline to 
neither side, but make the angles on each 
side equal, then those angles are called ri^ht 
angles ; and the line CD is said to be per- 
pendicular to the other line. 



B 



Fig. 2. 
D 



-B 



10 



GEOMETRY. 



Fig. 3. 



8. An obtuse angle is greater than a right 
angle : as ADE. Fig. 3. 

9. An acute angle is less than a right 
angle; as EDB. Fig.S. 



Note. When three letters are used to express an angle. 
the middle letter denotes the angular point. 




Fi^. 4. 




10. A circle is a round figure, bounded 
by a single line, in every part equally distant 
from some point,, which is called the cen- 
tre. Fig. 4. 

11. The circumference or periphery of 
a circle is the bounding line ; as ADEB. 
Fig. 4. 

12. The radius of a circle is a line 
drawn from the centre to the circumference: 
as CB. Fig. 4. Therefore all radii of the 
same circle are equal. 

13. The diameter of a circle is a right 
line drawn from one side of the circumter- 
ence to the other, passing through the centre; 
and it divides the circle into two equal parts, 
called semicircles ; as AB or DE. Fig. 5. 

14. The circumference of every circle is 
supposed to be divided into 360 equal parts, 
called degrees ; and each degree into 60 
equal parts, calied minutes ; and each minute 
into 60 equal parts, called seconds : and these into thirds, 6z 



ig. D. 




Note. Since all circles are divided into the same number of 
degrees, a degree is not to be accounted a quantitv of 
any determinate length, as so many inches or feet. d:c. 
but is always to be reckoned as being the 360th part of 
the circumference of any circle, without regardino- the 
size of the circle. 



15. An arc of a circle is any part of the circumference ; 
as BF or FD. Fig. 5 : and is said to be an arc of as many de^ 
grees as it contains 360th parts of the whole circle. 



GEOMETRY. 



11 



Fig, 6, 




16. A chord is a right line drawn from 
one end of an arc to the other, and is the 
measure of the arc ; as HG is the chord of 
the arc HIG. Fis. 6. 



Note. The chord of an arc of 60 degrees is equal in length 
to the radius of the circle of which the arc is a part. 

17. The segment of a circle is a part of a circle cut off by 
a chord ; thus the space comprehended between the arc HIG 
and the chord HG is called a segment. Fig. 6. 

19. A sector of a circle is a space contained between two 
radii and an arc less than a semicircle ; as BCD or ACD. 
Fig. 6. 




20. The sine of an arc is a line drawn Fig, 7. 
from one end of the arc, perpendicular to 
the radius or diameter drawn through the 
other end : or, it is half the chord of double 
the arc ; thus HL is the sine of the arc 
HB. Fig. 7. 

21. The sines on the same diameter in- 
crease in length till they come to the cen- 
tre, and so become the radius, after which 
they diminish. — Hence, it is plain that the 
sine of 90 degrees is the greatest possible 
sine, and is equal to the radius. 

22. The versed sine of an arc is that part of the diameter 
or radius which is between the sine and the circumference ; 
thus LB is the versed sine of the arc HB. Fig. 7. 

23. The tangent of an arc is a right line touching the 
circumference, and drawn perpendicular to the diameter ; and 
is terminated by a line drawn from the centre through the 
other end of the arc ; thus BK is the tangent of the arc BH. 
Fig, 7. 

Note. The tangent of an arc of 45 degrees is equal in 
length to the radius of the circle of which the arc is a 
part. 



24. The secant of an arc is a line drawn from the centre 



12 GEOIETRY. 

through one end of the arc till it meets the tangent ; thus 
CK is the secant of the arc BH. Fig. 7. 

'25. The complement of an arc is what the arc wants of 90 
degrees, or a quadrant : thus HD is the complement of the 
arc BH. Fig. 7. 

26. The supplement of an arc is what the arc wants of ISO 
degrees, or a semicircle ; thus ADH is the supplement of the 
arc BH. Fig. 7. 

[Note. It will be seen, by reference to Fig. 7, that the sine 
of any arc is the same as that of its supplement. So like- 
wise, the tangent and secant of imy arc are used also for 
its supplement.] 

27. The sine, tangent or secant of the complement of any 
arc is called the co-siue, co-tangent, or co-secant of the arc ; 
thus, FH is the sine, DI the tangent, and CI the secant of 
the arc DH ; or they are the co-sine, co-tangent, and co-se- 
cani of the arc BH. Fig. 7. 

[The terms sine, tangent and secant, are abre\iated thus : 
sin. tan. and sec. So llke^Tise, co-sine, co-tangent, and co- 
secant, are written co-sin, co-tan. and co-sec] 

28. The measure of an angle is the arc of a circle contain- 
ed between the two lines which form the angle, the angular 
point being the centre ; thus, the angle HCB. Fig. 7. is mea- 
sured by the arc BH : and is said to contain as many degrees 
as the arc does. 

Note An angle is esteemed greater or less according to 
the opening of the lines which form it, or as the arc in- 
tercepted by those Unes contains more or fewer degrees. 
Hence it maybe observed, that the size of an angle does 
not depend at all upon the length of the including lines ; 
for all arcs described on the same point, and intercepted 
by the same right lines, contain exactly the same num- 
ber of degrees, whether the radius be longer or shorter. 

29. The sine, tangent, or secant of an arc is also the sine, 
tancjent, or secant of the angle whose measure the arc is. 

Fig. 8. 

A^ B 

30. Parallel lines are such as are equal- 
ly distant from each other; as AB and ^ j^ 

CD. Fig. 8. i^ 13 



GEOMETRY. 



13 



31. A triangle is a figure bounded by 
three lines ; as ABC. Fig. 9. 

32. An equilateral triangle has its three 
sides equal in length to each other. Fig. 9. 



33. An isoceles triangle has two of its sides 
equal. Fig. 10. 




Fig. 11. 




Fig. 12 




Fig. 13. 



34. A scalene triangle has three unequal 
sides. Fig. 11. 



35. A right angled triangle has one 
right angle. Fig. 12. 



36. An obtuse angled triangle has one 
obtuse angle. Fig. 13. 



37. An acute angled triangle has all its angles acute. Fig. 
9, or 10. 

38. Acute and obtuse angled triangles are called oblique 
angled triangles, or simply oblique triangles ; in which the 
lower side is generally called the base and the other two, 
legs. 

39. In a right angled triangle the longest side is called the 
hypothenuse, and the other two, legs, or base and perpendic. 
lilar. 




B2 



14 



GEOMETRY. 



Note. The three angles of every triangle being added to- 
gether will amount to 180 degrees ; consequently the two 
acute angles of a right angled triangle amount to 90 
degrees, the right angle being also 90. 

Fig. 14. 

40. The perpendicular height of a trian- 
gle IS a line drawn from one of the angles 
perpendicular to its opposite side ; thus, the 
dotted line AD. Fig. 14. is the perpendicu- 
lar height of the triangle ABC. -p 

Note. This perpendicular may be drawn from either 
of the angles ; and whether it falls within the triangle, or 
on one of the lines continued beyond the triangle, is im- 
material. 

Fig. 15. 

41. A square is a figure bounded by four 
equal sides, and containing four right angles. 
Fig, 15. 




42c A rectangle* is a figure bounded by 
four sides, the opposite ones being equal and 
the angles right. Fig. 16. 



Fig. 16. 



Fig. 17. 



43. A rhombus is a figure bounded 
by four equal sides, but has its angles 
oblique. Fig. 17. 




Fig. 18. 



44. A rhomboid is a figure bounded by 
four sides, the opposite ones being equal, 
but the angles oblique. Fig. 18. 



* In previous editions, thia figure is denominated a parallelogram. The 
phr&seologjr employed bj modern writers, is here adopted.^-En. 



GEOMETRY. 15 

[45. Any four-sided figure, having its opposite sides paral- 
lel, is called a parallelogram. Figs. 15, 16, 17, and 18.] 

46. The perpendicular height of a parallelogram is a line 
drawn from one of the angles to its opposite side ; thus, the 
dotted lines AB. Fig, 17. and Fig. 18, represent the perpen- 
dicular height of the rhombus and rhomboid. 



Fig. 19. 



47. A trapezoid is a figure bounded by 
four sides, two of which are parallel though 
of unequal lengths. Fig. 19. andi^i^. 20. 



/ \ 

Fig. 20. 

Note. Fig. 19. is sometimes called a right angled trape- 

Fig. 21. 



zium. 




48. A trapezium is a figure bounded by 
four unequal sides Fig. 21. 

49. A diagonal is a line drawn between 
two opposite angles ; as the line AB. Fig. 
21. 

Jl 

50. Figures which consist of more than four sides are caK 
led polygons ; if the sides are equal to each other they are cal- 
led regular polygons, and are sometimes named from the num- 
ber of their sides, as pentagon, or hexagon, a figure of five 
or six sides, (fee. ; if the sides are unequal, they are called ir- 
regular polygons. 



16 



GEOMETRY. 



PART II. 

Geometrical Problems. 



Fig. 22. 



C 



PROBLEM I. To draw a line parallel 
to another line at any given distance ; as at 

the point D, to make a line, parallel to the ^- S.. .. -' 

lineAB. Fig. 22, ^ ^ 

With the dmders take the nearest distance between the 
point D and the given Une AB ; with that distance set one 
foot of the dividers any where on the line AB, as at E, and 
draw the arc C ; through the point D draw a line so as just to 
touch the top of the arc C. 

A more convenient way to draw parallel lines is with a 
parallel rule. [The parallel rules, however, found in <;ases 
of mathematical instruments, are often inaccurate.] 



PROBLEM II. To bisect agivenline 
or, to find the middle of it. Fig. 23. 



Fig. 23. 



IE 



-B 



Open the dividers to any convenient distance, more than 
half the given line AB, and with one foot in A, describe an 
arc above and below the line, as at C and D ; with the same 
distance, and one foot inB, describe arcs to cross the former; 
lay a rule from C to D, and where the rule crosses the line. 
as at E, will be the middle. 

Fig. 24. 

PROBLEM in. To erect a perpendicu. - /■ 

larfrom the end, or any part of a given line. 
Fig. 24. 



GEOMETRY. 



17 



Open the dividers to any convenient distance, as from D to 
A, and with one foot on the point D, from which the perpen- 
dicular is to be erected, describe an arc, as AEG ; set off the 
same distance AD, from A to E, and trom E to G ; upon E 
and G describe two arcs to intersect each other at H ; draw 
a Hne from H to D, and one line will be perpendicular to the 
other. 

Note. There are other methods of erecting a perpendicu- 
lar, but this is the most simple. 

Fig. 25. 



PROBLEM IV. From a given point 
as at C, to drop a perpendicular on a , 
given line AB. Fig 25. ^_ 



P 



With one foot of the dividers in C describe an arc to cut 
he given line in two places, as at F and G ; upon F and G 
describe two arcs to intersect each other below the line as at 
D ; lay a rule from C to D and draw a line from C to the giv- 
en line. 

Perpendiculars may be more readily raised and let fall, by 
a small square made of brass, ivory, or wood. 

Fig, 26. 

PROBLEM V. To male an angle at E, / 
equal to a given angle ABC. Fig. 26. . / 




Open the dividers to any convenient distance, and with one 
foot in B describe the arc FG ; with the same distance and 
one foot in E, describe an arc from H ; measure the arc FG 
and lay off the same distance on the arc from H to I • draw' 
a line through I to E, and the angles will be equal. 

Fig. 27. 

PROBLEM VL To make an acute an- 
gle equal to a given number of degrees, sup. / 
pose 36. Fig. 27. • / 

A 




IS GEOMETRY. 

Draw the line AB of any convenient length ; from a scale 
of chords take 60 degrees with the dividers, and with one foot 
in B describe an arc from the line AB ; from the same scale 
take the given number of degrees, 36, and lay it on the arc 
from C to D ; draw a line from B through D, and the angle 
at B will be an ano;le of 36 decrees. 

Fig. 28. 

PROBLEM VII. To male an ohtuse an- \ ^ C 
gle, suppose of llO degrees. Fig. 28. V-— ^l"**^--. 




B 

Take a chord of 60 degrees as before, and describe an arc 
greater than a quadrant ; set off 90^^grees from B to C, and 
from C to E set off the excess abo"^ 90, which is 20 ; draw 
aline from G through E, and the angle will contain 110 de- 
grees. 

[It is best, however, in making obtruse angles, to take from 
the scale the chord of half the angle, and set it off twice. 
This will save taking two separate chords.] 

Note. In a similar manner angles may be measured : that 
is, with a chord of 60 degrees describe an arc on the an- 
gular point, and on a scale of chords measure the arc in- 
tercepted by the lines forming the angle. 

Amore convenient method of making and measuring angles 
is to use a protractor instead of a scale and dividers. 

Fis. 29. 



B 

PROBLEM VIII. To make a triangle j^ 
of three given lines, as BO, BL, LO. Fig. 
29, any two of which are greater than the 
third. 



Draw the line BL from B to L ; from B, with the length 
of the line BO, describe an arc as at O ; from L, with the 
length of the line LO, describe another arc to intersect the 
former ; from O draw the lines OB and OL, and BOL will be 
the triangle required. 





GEOMETRY. 1» 



PROBLEM IX. To make a right an- 
gled triangle, the hypothenxise and angles 
being given. Fig, 30. 

Suppose the hypothenuse CA 25 rods or chains, the angle 
at C 35° 30' and consequently the angle at A 54^ 30\ See 
note after the Sdth Geometrical Definition. 

Note. When degrees and minutes are expressed, they are 
distinguished from each other by a small cipher at the 
right hand of the degrees, and a dash at the right hand 
of the minutes ; thus 35° 30' is 35 degrees and 30 min- 
utes. 

Draw the line CB an indefinite length ; at.C make an an- 
gle 35° 30' ; through where that number of Degrees cuts the 
arc draw the line CA 25 rods, which must, be taken from some 
scale of equal parts ; drop a perpendicular from A to B, and 
the triangle will be completed, 

[A scale of equal parts may be found on one side of Gun- 
ter's scale, occupying half its length. It will be known b}r 
slanting lines which cross it at each end. The length of the 
scale, not occupied by these oblique lines, is equally divided 
into several larger divisions, numbered on one side, and like- 
wise twice as many smaller, numbered on the other. In ta- 
king distances from the scale, each of these divisions, (either 
the larger or the smaller, as is most convenient,] must be 
considered 1, 10, 100, &:c, rods, chains, or other dimensions 
of length. If each division be called 1, it will be easy to take 
off the required number. But the scale is not usually long 
enough for this. When each division is called 10, as many 
divisions must be taken, as there are tens in the given number. 
For the excess of tens, in this case, the little scale, with the 
oblique lines, is used. Each side of this little scale is divi- 
ded into 10 equal parts, and each of these parts is, of course, 
1. Then, to take off the hypothenuse, 25, above, we should 
take in the dividers 2 of the divisions of the large scale, and 
5 of those of this small one. There is one of these little 
scales for the greater, and one for the smaller divisions of the 
large scale. When each division of the large scale is called 
10^ each of those of the small one becomes 10, and the 
units are found by means of the oblique lines. These are 
drawn across parallel lines, running the whole length of the 
scale, from each division on one side, to the next higher on 



20 



GEOMETRY. 



the other. The parallel lines divide the width of the scale 
into 10 equal parts. Since each oblique line, then, in cross- 
ing the scale passes over one division of length, it is ev- 
ident, that, in passing one tenth across, (that is, to the first 
parallel line,) it will pass over one tenth of a division of 
length ; in passing two tenths across (that is, to the second 
parallel line,) it will pass over two tenths of a division of 
length, and so on. The parallel lines are numbered at the 
end of the scale. To take off a distance, containing hun- 
dreds, then, as 234, we must place one foot of the dividers on 
the second division of the larger scale, and on the parallel 
line marked 4, and extend the other foot to the third oblique 
ine. Decimals may evidently be taken ofi in a similar man 
ner ; the divisions of the larger scale being made units, and 
those of the smaller, tenths and hundredths.] 

Note. The length of the two legs may be found by mea- 
suring them upon the same scale of equal parts from 
which the hypothenuse was taken. 



Fig. 31 



PROBLEM X. To male a right an- 
gled triangle, the angles and one leg 
being given. Fig. SI. 




Suppose the angle at C 33° 15', and the leg AC 285. 
Draw the leg AC making it in length 285 ; at A erect a 
perpendicular an indefinite length ; at C make an angle of 
33" 15' ; through where that number of degrees cuts the arc, 
draw a line till it meets the perpendicular at B. 

Note. If the given line CA should not be so long as the 
chord of 60°, it may be continued beyond A, for the 
purpose of making the angle. 



Fig. 32. 



PROBLEM XI. To male a right an- 
gled triangle, the hypothenuse and one leg 
being given. Fig. 32. 




Suppose the hypothenuse AC 40, and the leg AB 28. 
Draw the leg AB in length 28 ; from B erect a perpendic- 



GEOMETRY. 



21 



ular an indefinite length ; take 40 in the dividers, and setting 
one foot in A, wherever the other foot strikes the perpendic- 
ular will be the point C. 

Note. When the trianglo is constructed, the angles may 
be measured by a protractor, or by a scale of chords. 

Fig. 33. 

C 

PROBLEM XII. To make a right angled 
triangle, the two legs leing given. Fig. 33. 




Suppose the leg AB 38, and the leg BC 46. 
Draw the leg AB in length 38 ; from B erect a perpendic. 
ular to C in length 46 ; and draw a line from A to C. 

Fig, 34. 



PROBLEM XIII. To 

make an oblique angled tri- 
angle, the angles and one 
side being given. Fig, 34. 



Suppose the side BC 98 ; the angle at B 45 '^ 15', the angle 
at D 108° 30', consequently the other angle 26^ 15'. 

Draw the side BC in length 98 ; on the point B make an 
angle of 45° 15' ; on the point C make an angle of 26° 15', 
and draw the lines BD and CD. 

Fig, 35. 



PROBLEM XIV. To make an oblique 
angled triangle, two sides and an angle op- 
posite to one of them being given. Fig, 35. 





£eo 



i^C 



Suppose the side BC 160, the side BD 79, and the angle 
at C 29° 9'. 

Draw the side BC in length 160 ; at C make an angle of 
29° 9', and draw an indefinite line through where the degrees 
cut the arc ; take 79 in the dividers, and with one foot in B 
lay the other on the line CD ; the point D will be the other 
angle of the triangle. C 



22 



GEOMETRY. 



Fig. 36. 



PROBLEM XV. To make an oh- » 
lique angled triangle, two sides and 
their contained angle being given. 
Fig. 36. B 




^^^ 



Suppose the side BC 109, the side BD 76, and the angle 
atB 101° sa. 

Draw the side BC in length 109 ; at B make an angle of 
101° 30', and draw the side BD in length 76 ; draw a line 
from D to C and it is done. 



Fig. 3" 



PROBLEM XVL To make a Square. 
Fig. 37. 




Draw the line AB the length of the proposed Square ; from 
B erect a perpendicular to C and make it of the same length 
as AB ; from A and C, whh the same distance in the dividers, 
describe arcs intersecting each other at D, and draw the lines 
AD and DC 



Fig. 38. 



PROBLEM XVII. 

gle. Fig. 38. 



To make a rectan- 




Draw the line AB equal to the longest side of the rec- 
tangle ; on B erect a perpendiculajr the length of the shortest 
side to C ; from C, with the longest side, and from A, with 
the shortest side, describe arcs intersecting each other at D, 
and draw the lines AD and CD. 



GEOMETRY. 



33 



Fig, 39. 




PROBLEM XVIII. To de- >^ 

scribe a circle which shall pass 
through any three given points^ 
not lying in a right line, as Ay B, 
D. Fig. 39. 



Draw lines from A to B and from B to D ; bisect those 
lines by problem II. and the point where the bisecting lines 
intersect each other, as at C, will be the centre of the circle. 

PROBLEM XIX. To find the centre of a circle. 

By the last problem it is plain, that if three points be any 

where taken in the given circle's periphery, the centre of the 

circle may be found as there taught. 

Directions for constructing irregular figures of four or more 
sides may be found in the following treatise on Surveying. 



TRIGONOIETRY. 



TRIGONOMETRY is that part of practical Geometry by 
which the sides and angles of triangles are measured : where- 
by three things being given, either all sides, or sides and an- 
gles, a fourth may be found ; either by measurioi^ with a scale 
aad dividers, according to the Problems i^- Geometry, or 
more accurately by calculation with logarithms, or with natu- 
ral sines. 

Tbigo^'o^ietey is divided into two parts, rectangular and 
oblique-aiDgular. 

PART I. 
RECTANGULAR TRIGONOMETRY. 

This is founded on the following methods of applying a 
circle to a triangle. 

Fig. 40. 



PROPOSITION I. In ever>- right 
angled triangle, as ABC, Fig. 40, it is 
plain from FiS' "», compared with the 
Geometrical definitions to which that 
Figure refers, that if the hypothenuse A 
AC be made radius, and with it an arc 
of a circle be described from each end, 
BC will be the sine of the angle at A, 
and AB the sine of the angle at C ; 
that is, the legs will be sines of their 
opposite angles. 




/%. 41. 



PROPOSITION II. If one leg, AB, 
Fig. 41, be made radius, and with it on 
the point A an arc be described, then 
BC, the other leg, will be the tangent, \ 
and AC the secant of the angle at A ; ' 
and if BC be made radius, and an arc 
be described with it on the point G, then 
AB will be the tangent and AC the se- A> 
cant of the angle at C ; that is, if one leg 
be made radius the other leg will be a tangent of its opposite 
angle, and the hypothenuse a secant of the same angle. 





c 






/\ 




\ / \ 


B 



TRIGONOMETRY. 25 

Thus, as different sides are made radius, the other sides 
acquire different names, which are either sines, tangents or 
secants. 

As the sides and angles of triangles bear a certain propor- 
tion to each other, two sides and one angle, or one side and 
two angles being given, the other sides or angles may be found 
by instituting proportions, according to the following rules. 

Rule I. To find a side, either of the sides may be made 
radius, then institute the following proportion : 

As THE NAME OF THE SIDE GIVEN, (which will be eithci ra- 
dius, sine, tangent or secant ;) 

Is TO THE LENGTH OF THE SIDE GIVEN ; • 

So IS THE NAME OF THE SIDE REQUIRED, (which also wiU bc 

either radius, sine, tangent or secant;) 

To THE LENGTH OF THE SIDE REQUIRED. 

Rule II. To find an angle one of the given sides must 
be made radius, then institute the following proportion : 

As THE LENGTH OF THE GIVEN SIDE MADE RADIUS ; 

Is TO ITS NAME, (that is radius ;) 

So IS THE LENGTH OF THE OTHER GIVEN SIDE ; 

To ITS NAiviE, (which will be either sine, tangent or se- 
cant.) 

Having instituted the proportion, look for the correspond- 
ing logarithms, in the logarithms of numbers for the length 
of the sides ; and in the table of artificial sines, and tangents, 
and for the logarithmic sine, tangent or secant. ' 

Add TOGETHER THE LOGARITHMS OF THE SECOND AND THIRD 
TERMS, AND FROM THEIR SUM SUBTRACT THE LOGARITHM OF THE 
FIRST term: THE REMAINDER WILL BE THE LOGARITHM OP 
THE FOURTH TERM, WHICH SEEK IN THE TABLES, AND FIND 
ITS CORRESPONDING NUMBER, OR DEGREES AND MINUTES. 

See the introduction to the table of logarithms ; which 
should be attentively studied by the learner before he pro- 
ceeds any further. 

Note. The logarithm for radius is always 10, which is the 
logarithmic sine of 90°, and the logarithmic tangent of 
45. 

The preceding propositions and rules being duly at- 
tended to, the solution of the following cases of Rectangular 
Trigonometry will be easy. 

C2 



26 



TRIGONOMETRY. 
CASE. I. 



Fig. 42. 



The angles and hypothenuse given to find 
the legs. Fig. 42. 



In the triangle ABC, given tlie hypothenuse AC 25 rods 
or chains : the angle at A 35" 30' : and consequently the 
angle at C 54- 30' : (See note Geom. Def, 39.) to find the 
legs. 




Making the hypothenuse radius, the proportions will be 

Tojind the leg AB, 
As radius - - 10.00'''000 

: hyp. AC, 25 - 1.397940 

: : sine ACB, 54° 30' 9.910686 



11.308626 
10.000000 



leg AB,20.35 nearly 1.308626 



Tojind the leg BC. 
As radius - - 10.000000 
:hvp. AC. 25 - 1.397940 

: : sine CAB, 35° 30' 9.763954 



11.161894 
10.000000 



leg BC, 14.52 nearly 1.161894 



Note, When the first term is radius, it may be subtracted 
by cancelling the first figure of the sum of the other two 
terms. 



3Iaking the leg AB radius, the proportioi>s will be : 



TofindtheJeg XB. 
As secant CAB, 35° 30' 
: hyp. AC, 25 
: : radius 
: leg AB, 20.35 



To find the leg BC. 
As secant CAB, 35*5 30' 
hvp. AC, 25 
: tangent, CAB, 35° 30 
leg BC, 14.52 



Making the leg BC radius, the proportions will be : 



Tofindtheleg AB. 
As secant ABC. 54° 30' 
hyp. AC, 25 
: tangent ACB, 54^ 30' 
leg AB, 20.35 



To find the leg BC. 
As secant CAB, 54^ 30' 
: hyp. AC, 25 
: : radius 
: leg. BC, 14.52 



The logarithms of the four last proportions being looked 
out. and added and subtracted according to the rule^ the result 
^vill be found to be the same as in the two first proportions. 

[The learner should exercise himself, in this and the following 
rules in Trigono^ietey, in stating all the proportions which 
eanbe made, until he is able to do it with facility.] 



TRIGONOMETRY. 27 



By natural sines. 

This CASE may be solved by natural sines,* according to 
the following proportions : 

As UNITY OR 1, IS TO THE LENGTH OF THE HYPOTHENUSE, 
so IS THE NATURAL SINE OF THE S^IALLEST ANGLE, TO THE 
LENGTH OF THE SHORTEST LEG. Or, SO IS THE NATURAL 
SINE OF THE LARGEST ANGLE, TO THE LENGTH OF THE LONG- 
EST LEG. 

Or, which is the same thing, multiply the natural sines 

OF THE two angles BY THE HYPOTHENUSE : THE PRODUCTS 

will be the length of the two legs. 

Example. 

Nat. sine of 35° 30' Nat. sine of 54^ 30'. 

0.58070 0.81412 

Hyp. 25 Hyp. 25 



290350 407060 

116140 162824 



14.51750 20.35300 



Leg BC 14.52 Leg AB 20.35 

Note. The third decimal figure in the first product being 
7, the preceding figure may be called one more than it is, 
viz. 2, And whenever in any product, &c. there are 
more places of decimals than you wish to work with, if 
the one at the right hand of the last which you wish to 
retain is more than 5, add a unit to the last, because a 
greater decimal number than 5 is more than half. 



CASE H. 

Fig, 43. 
C 
The angles and one leg given to find the 
hypothenuse and the.gther leg. Fig. 43. 

In the triangle ABC, given the leg AB 325, the angle at A 
33° 1-5' and the angle at C 56° 45' : to find the hypothenuse 
and the leg BC. 

* See the Introduction to the Table of Natural Sines. 




28 



TRIGONOMETRY. 



Making the given leg radius, the proportions will be 

To find the hypothenuse. 
As radius, 10.000000 

: leg AB. 32.5 2.511883 

10.077645 



; : sec. CAB. SS'^ 15' 
; hyp. 388.6 



12.589528 



To find the leg BC. 
As radius, lO.GOOOOO 

: leg AB, 325 2.511883 

: : tan. CAB, 33^ 15' 9.816653 



: leg BC, 213.1 



12.328541 



Note. Reject the first figure, which is the same as subtract- 
ing radius, and seek the numbers corresponding to the 
other figures. 

Making the leg BC radius, the proportions will be : 



Tofnd the hypothemise. 
As taug. ACB, 5G^ 45' 
les AB, 325 
: sec. ACB, 56^ 45 

h}i). 388.6 

Making the hypothenuse radius, the proportions will be ; 



Tofnd the le^ BC. 
As tang. ACB, 56= 45' 
: leg AB, 325 
: : radius 
: lea BC, 213.1 



To find the hypothenuse. 
As sine BCA, 56= 45' 
: leg AB, 325 

: : radius 
: hyp. 38S.G 



To find the leg BC. 
As sine BCA, 56= 45' 
: le^ AB. 325 
: : sme BAG. 33° 15' 
: le^BC, 213.1 



Note. If the leg BC had been given, instead of the leg AB, 
the proportioBs would have been the same, the obvious 
chano-es bein^ made. 



Br ^■AT^EAL SIXE; 



To solve this case by natural sines, institute the following 
proportions : 

To find the hypothenuse. As the ^-AT^RAL si>:e of thb 

AIS'GLE OPPOSITE THE' GIVEN LEG, IS TO THE LE>"GTH OF THE 
LEG, SO IS r:^"ITT OR 1, TO THE LE^•GT^ OF THE HYPOTHE- 
rsTSE. 

Or which is the same thing, divide the give>' leg by 

THE ^-AT^RAL SINE OF ITS OPPOSITE AXGLE, AND THE QITO- 
TIETfT W ILL BE THE HYPOTHENTSE. 

* Find the sec. as directed in the introduction to the tables, bj sub- 
tracting the co-sine from 20.000.000.— Ed. 



TRIGONOMETRY. 



29 



To find the other leg. As the natural sine of the an- 
gle OPPOSITE THE GIVEN LEG, IS TO THE LENGTH OF THE GIV- 
en leg, 60 is the natural sine of the angle oppositb the 
other leg, to the length of the other leg. 

Example. 

Given leg 325. Nat. sine of 56<^ 45', the angle opposite 
the given leg 0.83629. Nat. sine of 33° 15', the angle op- 
posite the other leg 0.54829. 

As 0.83629 : 325 : : 1 : 388.6. 

As 0.83629 : 325 : : 0.54829 : 213.07. 



CASE III. 



Fig. 44. 



The hypotlienuse and one leg given to 
find tJie angles and the other leg. Fig. 44. 




In the triangle ABC, given the hypothenuse AC 50 and the 
leg AB 40, to find the angles and leg BC. 

Making the hypothenuse radius, the proportion to find the 
angle ACB will be : 



As hyp. 50 

: radius 

: : leg AB, 40 



: sine ACB, 53° 8' 



1.698970 

10.000000 

1.602060 

11.602060 
1.698970 

9.903090 



The angle ACB being 53° 8' the other is consequently 
36° 52'. 

Making the leg AB radius, the angle BAG may be found 



^ TRIGOXOMETRY. 

by the following proportion ; 

As leg AB, 40 ■ 1.602060 

: radius - 10.000000 

; :h)-p. 50 . 1.698970 



11.698970 
1.60-2060 



: sec. BAG, 36" 52 10.096910 

The angles being found, the leg BC may be found by ei- 
ther of the preceding cases. It is 30. 



By ^'ATnlAL sixes. 

The angle opposite the given leg may be found bv the fol- 
lowing proportion ; 

As THE HYPOTHENUSE IS TO UNITY OR 1, SO IS THE GIVEN 
LEG TO THE NAT. SINE OF ITS OPPOSITE ANGLE. 

Or, which is the same thing, divide the given leg by the 

HrPOTHENUSE, AND THE QUOTIENT WILL BE THE NAT. SINE. 



Example. 



The leg AB 40 divided by the hypothenuse 50 gives a quo- 
tient 0.80000 which looked in the table of nat. sines, the near- 
est corresponding number of desrrees and minutes will be 
found to be 53= 8, the angle ACBT 



By the square root. 

In this CASE the required leg may be found by the squsire 
root, without finding the angles ; according to the following 

PROPOSITION ; 

In every RIGHT ANGLED TRIANGLE, THE SQUARE OF THE 
HYPOTHENTTSE IS EQUAL TO THE SUM OF THE SQUARES OF THU 

TWO LEGS. Hence, 

The square of the given leg being subtracted from 



TRIGONOMETRY. 31 

THE SQUARE OF THE HYPOTHENUSE, THE REMAINDER WILL 
BE THE SQUARE OF THE REQUIRED LEG* 

As in the preceding example ; the square of the leg AB 
40 is 1600 ; this subtracted from the square of the hypothe- 
nuse 50 which is 2500, leaves 900, the square of the leg BC, 
the square root of which is 30, the length of leg BC as found 
by logarithms. 



CASE IV. 



The legs given to find the angles and hy- 
pothenuse. Fig. 45. 




7^,r 



In the triangle ABC, given the leg AB 78.7 and the leg 
BC 89 ; to find the angles and hypothenuse. 

Making the leg AB radius, the proportion to find the angle 
BAC will be ; 

Asleg AB, 78.7 1.895975 

: radius - - 10.000000 

: : leg BC, 89 - 1.949390 



11.949390 

1.895975 



tang. BAC, 48° 31' 10.053415 



The angle ACB is consequently 41° 29'. 

Making the leg BC radius, the proportion to find the angle 
BCA will be similar, with the obvious differences. 

The angles being found, the hypothenuse may be found by 
Case II. It is nearest 119. 



32 TRIGONOMETRY. 

By the square root. 

In this case the hypothenuse may be found bv the square 
root, without finding the angles ; according to the following 
PROPOSITIO^^ 

In every right angled triangle, the SU3I OP THE 
SQUARES OF THE TWO LEGS IS EQUAL TO THE SQUARE OP THE 
HYPOTHENUSE. 

In the above example, the square of AB 78.7 is 6193.69, 
the square of BC 89 is 7921 ; these added make 14114.69 
the square root of which is nearest 119. 



By natural sines. 

The hypothenuse being found by the square root, the angles 
mav be found by nat. sines, according to the preceding case. 
Hvp. Leg. BC. Nat. Sine. 

liQ) 89.00000 (74789 
83 3 



570 The nearest degrees and minutes 

476 corresponding to the above nat. sine 

are 48° 24', for the angle BAC. The 

940 difference between this and the angle 

833 as found by logarithms is occasioned 

by dividing by 119, which is not the 

1070 exact length of the hypothenuse, it 

952 being a fraction too much. 

1180 
1071 



109 



PART II. 

Oblique trigonometry. 
The solution of the first two cases of Oblique Trigonome- 
try depends on the following proposition. 

In all plane triangles, the sides are in proportion 

TO EACH other AS THE SINES OF TUEIE OPPOSITE ANGLES. 



TRIGONOMETRY. 



33 



That is, as the sine of one angle is to its opposite side, 
so is the sine op another angle to its opposite side. 
Or, as one side is to the sine of its opposite angle, so 
is another side to the sine of its opposite angle. 

[Note. When an angle exceeds 90° make use of its supple- 
ment, which is what it wants of 180°. Note Def, 26. 
Geom.] 



CASE I. 



The angles and one side given to find the 
other sides. Fig, 46. 




2aa 



In the triangle ABC, given the angle at B 48°, the angle 
at C 72°, consequently the angle at A 60°, and the side AB 
200, to find the sides AC and BC. 



To Jin d the side AC. 
As sine ACB, 72° - 9.978206 
: side AB, 200 - 2.301030 

: : sine ABC, 48° - 9.871073 



: side AC, 156 



12.172103 

9.978206 

2.193897 



Tojind the side BC. 
As sine ACB, 72° - 9.978206 
: side AB, 200 - 2.301030 

: : sine BAC, 60** - 9.937531 



side BC, ia2 



12.328561 
9.978206 

2.260355 



By natural sines. 



As the NAT. sine OF THE ANGLE OPPOSITE THE GIVEN SIDE 
IS TO THE GIVEN SIDE, SO IS THE NAT. SINE OF THE ANGLE OP- 
POSITE EITHER OP THE REQUIRED SIDES TO THAT REQUIRED 
SIDE. 

Given side 200 ; nat. sine of 72°, its opposite angle, 
0.95115; nat. sine of ABC 48°, 0.74334; nat. sine of BAC 
60° 0.86617. Thus, D 



34 



TRIGONOMETRY. 



0.95115 : 200 : : 0.74334 : 156 
0.95115 : 200 : : 0.86G17 : 182. 



CASE II. 



Two sides, and an angle opposite to one 
of them given, to find the other angles and 
side. Fig, 47. 




Z4t? 



In the triangle ABC, given the side AB 240, the side BC 
200, and the angle at A 46'' 30' ; to find the other angles and 
the side AC. 

Tojind the angle ACB. 
As side BC, 200 2.301030 

: sine BAC, 46= 30' 9.860362 

:: side AB, 240 2.38U211 



12.240773 
2.301030 

rsineACB, 60° 30' nearly 9.939743 



Angle at A 
C 


46° 30' 
60 30 




107.00 


Sum of the three angles 
Sum of two 


180° 
107 



Angle at B 



The side AC will be found by case I. to be nearest 253. 

Note. If the given angle be obtuse, the angle sought will 
be acute ; but if the given angle be acute, and opposite 
a given lesser side, then the angle found by the operation 
maybe either obtuse or acute. It ought therefore to be 
mentioned which it is, by the conditions of the question. 



By natural sines. 



As THE SIDE OPPOSITE THE GIVEN ANGLE IS TO THE NAT. 
SINE OF THAT ANGLE, SO IS THE OTHER GIVEN SIDE TO THE 
NAT. SINE OF ITS OPPOSITE ANGLE. 

One given side 200, nat. sine of 46° 30', its opposite angle, 
0.72537, the other given side 240. 

As 200 ; 0.72537 : : 240 : 8.87044=60° 30'. 



TRIGONOMETRY. 



CASE III. 



Two sides and their contained angle giv- 
en, to find the other angles and side. Fig, 

48. 



Fig. 48. 




240 



The solution of this case depends on the following proposi- 

TIOX. 

In every plane triangle, as the sum of any two' sides 
IS TO their difference, so is the tangent of half the 
SUM of the two opposite angles to the tangent of half 

THE difference BETWEEN THEM. 

Add THIS half difference to half the sum of the an- 
gles AND you will have THE GREATER ANGLE, AND SUBTRACT 
THfi HALF DIFFERENCE FROM THE HALF SUM AND YOU WILL 
have THE LESSER ANGLE. 

In the triangle ABC, given the side AB 240, the side AC 
180, and the angle at A 36^ 40' to find the other angles and 
side. 

SideAB - 240 AB - 240 

AC . 180 AC - * 180 



Sum of the two sides 420 



Difference 



60 



The given angle BAC 36° 40', subtracted from 180°, leaves 
143° 20' the sum of the other two angles, the half of which 
is 71° 40'. 

As the sum of two sides, 420 - - 2.623249 

: their difference 60 . - - 1.778151 

: : tangent half unknown ang. 71° 40' 10.479695 



: tangent half difference, 23° 20' nearly 

The half sum of the two unknown angles, 
The half difference between them, 

Add, gives the greater angle ACB 

Subtract, gives the lesser angle ABC 

The side BC may be found by case I or II, 



12.257846 
2.623249 

9.634597 

71° 40' 
23 20 



95 00 



48 23 



36 



TRIGONOMETRY. 




CASE IV. 



The three sides given to find the an- 
gles. Fig. 49. 



The solution of this case depends on the following propo- 

SITION. 

In every plane triangle, as the longest side is TO 

THE SUM OF THE OTHER TWO SIDES, SO IS THE DIFFERENCE 
between THOSE TWO SIDES TO THE DIFFERENCE BETWEEN 
THE SEGMENTS OF THE LONGEST SIDE, MADE BY A PERPENDIC- 
ULAR LET FALL FROM THE ANGLE OPPOSITE THAT SIDE. 

Half the difference between these segments, added to half 
the sum of the segments, that is, to half the length of the 
longest side, will give the greatest segment ; and this half xiif- 
ference subtracted from the half sum will be the lesser seg- 
ment. The triangle being thus divided, becomes two right 
angled triangles, in which the hypothenuse and one leg are 
given to find the angles. 

In the triangle ABC, given the side AB 105, the side AC 
85, and the side BC 50, to find the angles. 

Side AC - 85 AC - - 85 

BC - 50 BC - - 50 



Sum of the two sides 



135 



Difference 



As the longestiside AB, 105 

: sum of the other two sides, 135 

: difference between those sides, 35 



: difference between the segments, 45. 

Half the side AB 

Half the difference of the segments 

Add, gives the greater segment AD 

Subtract, gives the lesser segment BD 



35 

2.021189 
2.130334 
1.544068 

3.674402 
2.021189 

1.653213 



TRIGONOMETRY, 



37 



Thus the triangle is divided into two right angled trian- 
gles, ADC and BDC ; in each of which the hypothenuse and 
one leg are given to find the angles. 

Tojind the angle DCA. To find the angle DCB 

Ashyp. AC, 85 - 1.929419 " ' -- 

: radius - - 10.000000 

: : seg. AD, 75 - 1.875061 



sine DCA, Gl*' 56' 



1I.875G61 
1.929419 

9.945642 



As hyp. BC, 50 


- 1,698970 


: radius 


10.000000 


: : seg. BD, 30 


1.477121 



11.477121 
1.698970 



sine DCB, 36° 52' 9.778151 



The angle DCA 61^ 56' subtracted from 90° leaves the 
angle CAD 28° 4'. 

The angle DCB 36° 52' subtracted from 90^ leaves the an- 
gle CBD 53° 16'. 

The angle DCA 61° 56' added to the angle DCB 36° 52 
gives the angle ACB 98° 48'. 

This CASE may also be solved according to the following 

PROPOSITIOX. 

In every plane triangle, as the product OF ANY TWO 
SIDES CONTAINING A REQUIRED ANGLE IS TO THE PRODUCT OF 
HALF THE SUM OF THE THREE SIDES, AND TflE D1PPERB^CE 
BETWEEN THAT HALF SUM AND THE SIDE OPPOSITE THE ANGLE 
REQUIRED, SO IS THE SQUARE OF RADIUS TO THE SQUARE OF 
THE CO'SINE OF HALF THE ANGLE REQUIRED. 



Those who make themselves well acquainted with trigo- 
^"OMETRY will find its application easy to many useful purpos- 
es, particularly to the mensuration of heights and distances ; 
These are here omitted, because, as this work is designed 
principally to teach the art of common field-surveying, it 
was thought improper to swell its size, and consequently in=. 
crease its price, by inserting any thing not particularly con- 
nected w^ith that art. 

It is recommended to those who design to be surveyors to 
study TRIGONOMETRY thoroughly ; for though a common field 
may be measured without an acquaintance with that science, 
yet many cases will occur in practice where a knowledge of 
it will be found very beneficial ; particularly in dividing land, 
and ascertaining the boundaries of old surveys. Indeed no 
one who is ignorant of trigonometry, can be an accom- 
plished surveyor. 

D2 



SURVEYING. 



SURVEYING is the art of measuring, laying out, and di- 
viding land. 

PART I. 

Measuring land. 

The most common measure for land is the acre ; which 
contains 160 square rods, poles or perches ; or 4 square 
roods, each containing 40 square rods. 

The instrument most in use, for measuring the sides of fields, 
is Gunter's chain, which is in length 4 rods or 66 feet ; and 
is divided into 100 equal parts, called links, each containing 7 
inches and 92 hundredths. Consequently, 1 square chain 
contains 16 square rods, and 10 square chains make 1 acre. 

In small fields, or where the land is uneven, as is the case 
with a great part of the land in New England, it is better to 
use a chain of only two rods in length ; as the survey can be 
more accurately taken. 



SECTION I. 

Preliminary problems. 

PROBLEM I. To reduce two rod chains to four rod 
chains. 

Rule. If the number of two rod chains be even, take 
half the number for four rod chains, and annex the links if 
any ; thus, 16 two rod chains and 37 links make 8 four rod 
chains and 37 links. 

But if the. number of chains be odd, take half the greatest 
even number for chains, and for the remaining number add 50 
to the links : Thus, 17 two rod chains and 42 links make 8 
four rod chains and 92 links. 

PROBLEM II. To reduce two rod chains to rods and de- 
emed parts. 



SURVEYING. 39 

Rule. Multiply the chains by 2, and the links by 4, which 
will give hundredths of a rod ; thus, 17 two rod chains and 
21 links make 34 rods and 84 hundredths ; expressed thus, 
34.84 rods. 

If the links exceed 25, add 1 to the number of rods and 
multiply the excess by 4 : thus, 15 two rod chahis and 38 
links make 31.52 rods. 

PROBLEM III. To reduce four rod chains to rods and 
decimal parts. 

Rule. Multiply the chains, or chains and links, by 4 ; 
the product will be rods and hundredths : thus, 8 chains and 
64 links make 34.56 rods. 

Note. The reverse of this rule, that is, dividing by 4, will reduce 
rods and decimals to chains and links : thus, 105. 12 rods make 26 
chains and 28 links. 

PROBLEM IV. To reduce square rods to acres. 

Rule. Divide the rods by 160, and the remainder by 40, 
if it exceeds that number, for roods or quarters of an acre : 
thus 746 square rods make 4 acres, 2 roods, and 26 rods. 

PROBLEM V. To reduce square chains to acres 

Rule. Divide by 10 ; or, which is the same thing, cut off 
the right hand figure ; thus, 1460 square chains make 146 
acres ; and 846 square chains make 84 acres and 6 tenths. 

PROBLEM VI. To reduce square links to acres. 

Rule. Divide by 100000 ; or, which is the same, thing, cut 
off the 5 right-hand figures : thus, 3845120 square links make 
38 acres and 45120 decimals. 

Note. "When the area of a field, by which is meant its superficial 
contents, is expressed in square chains and links, the whole may be 
considered as square links, and the number of acres contained in 
the field, found as above. Then multiply the figures cut olFby 4, 
and again cut ofFS figures, and you have the roods ; multiply the 
figures last cut off by 40, and again cut off 5 figures, and you have 
the rods. 

Example. How many acres, roods, and rods, are there in 156 
square chains and 3274 square links ? 

15)63274 square links, 
4 



2)53096 
40 

21)23840 



Anstoer. 15 acres 2 roods and 21 rods. 



'PROBLEMsforJinding the area oj righf lined figures, and aha 
of circles. 



40 SURVEYING. 

PROBLEM VII. To find the area of a square or rectati' 
gle. 

Rule. Multiply the length into the breadth ; the product 
will be the area. 

PROBLEM VIII. To find the area of a rhombus or 
rhomboid. 

Rule. Drop a perpendicular from one of the angles to its 
opposite side, and multiply that side into the perpendicular ; 
the product will be the area. 

PROBLEM IX. To find the area of a triangle. 

Rule 1. Drop a perpendicular from one of the angles to 
its opposite side, which may be called the base ; then multi- 
ply the base by half the perpendicular; or the perpendicular 
by half the base ; the product will be the area. Or, multiply 
the whole base by the whole perpendicular, and half the pro- 
duct will be the area. 

Rule 2. If it be a right angled triangle, multiply one of 
the legs into half the other ; the product will be the area. 
Or, multiply the two legs into each other, and half the pro- 
duct will be the area. 

Rule 3. When the three sides of a triangle are known, 
the area may be found arithmetically, as follows : 

Add together the three sides ; from half their sum subtract 
each side, noting down the remainders ; multiply the half 
sum by one of those remainders, and that product by another 
remainder, and that product by the other remainder ; the 
square root of the last product will the area.* 

Example. Suppose a triangle whose three sides are 24, 
20, and 18 chains. Demanded the area. 

24x20x18=62, the sum of the three sides, the half of 
which is 81. From 31 subtract 24, 20, and 18 ; the three 
remainders will be 7, 11, and 13. 

31x7=217; 217x11=2387; 2387x13=31031, the 
square root of which is 176.1, or 17 acres 2 roods and 17 
rods. 



By logarithms. 



As the addition of logarithms is the same as the multiplica- 
tion of their corresponding numbers ; and as the number an- 
swering to one half of a logarithm will be the square root of 
the number corresponding to that logarithm : it follows, that 
if the logarithm of the half sum of the three sides and the log- 
arithms of the three remainders be added together, the num. 

* Better expressed thSft. From half the sum of the sides subtract each 
side separately. Multiply the half sum and the several remainders together, 
and the square root of the product will be the area. — Ed . 



SURVEYING. 



41 



ber corresponding to one half the sum of those logarithms 

will be the area of the triangle. 

The half sum, 31 - - - 1.491362 

The first remainder, 7 - - - 0.845093 

The second remainder, 11 - - 1.041393 

The third remainder, 13 - - 1.1 13943 



The square of the area, 31030.083 nearly 
Area 176 square chains 150 square links 



4.491796 



2.245893 



Rule 4. When two sides of a triangle and their contained 
angle, that is, the angle made by those sides, are given, the 
area may be found as follows : 

Add together the logarithms of the two sides and the lo- 
garithmic sine of the angle ; from their sum subtract the lo- 
garithm of radius, the remainder will be the logarithm of 
double the area. 

Example. Suppose a triangle one of whose sides is 
105 rods and another 85, and the angle contained between 
them 28^ 5'. Demanded the area. 

One side, 105 - - - 2.021189 

The other side, 85 - - - 1.929419 

Sine angle, 28° 5' - - - 9.672795 



13.623403 
10.000000 

3.623403 



Subtract radius 

Double area, 4200 rods nearly 

Answer. 2100 rods. 



Note. Radius may be subtracted by cancelling the left-hand figure 
of the index, or subtracting 10, without the trouble of setting down 
the ciphers. 



By natural sines. 



Multiply the two given sides into each other, and that pro- 
duct by the natural sine of the given angle ; the last product 
will be double the area of the triangle. 

Nat. sine of the angle 28° 5' 0.47076. 

105x85= 8925, and 8925x0.47076=4201 the double area 
of the triangle. 

PROBLEM X. To find the area of a trapezoid. 



43 SURVEYING. 

Rule. Multiply half the sum of the two parallel sides by 
the perpendicular distance between them, or the sum of the 
two parallel sides by half the perpendicular distance, the pro- 
duct will be the area. 

PROBLEM XI. To find the area of a trapezium, or irreg- 
ular Jour sided figure . 

Rule. Draw a diagonal between two opposite angles, which 
will divide the trapezium into two triangles. Find the area 
of each triangle and add them together. Or, multiply the 
diagonal by half the sum of the two perpendiculars let fall 
upon it, or the sum of the two perpendiculars by half the di- 
agonal, the product will be the area. 

Note. Where the length of the four sides and of the diagonal is 
known, the area of the two triangles, into which the trapezium is di- 
vided, may be calculated arithmetically, according to Prob. IX. 
Rule 3. 

PROBLEM XII. To find the area of a figure containing 
more than four sides. 

Rule. Divide the figure into triangles, and trapezia, by 
drawing as many diagonals as are necessary, which diagonals 
must be so drawn as not to intersect each other ; then find the 
area of each of the several triangles or trapezia, and add 
them together ; the sum will be the area of the whole figure. 

Note. A little practice will suggest the most convenient way of draw- 
ing the diagonals ; but whichever way they are drawn, provided 
they do not intersect each other, the whole area will be found the 
same. 

PROBLEM XIII. Respecting circles. 

Rule 1. If the diameter be given the circumference may 
be found by one of the following proportions : as 7 is to 22, or 
more exactly, as 113 is to 355, or in decimals, as 1 is to 
3.14159, so is the diameter to the circumference. 

Rule 2. If the circumference be given the diameter may 
be found by one of the following proportions : as 22 is to 7, or 
as 355 is to 113, or as 1 is to 0.31831, so is the circumfer- 
ence to the diameter. 

Rule 3. The diameter and circumference being known, 
multiply half the one into half the other, and the product will 
be the area. 

Rule 4. From the diameter only, to find the area : multi- 
ply the square of the diameter by 0.7854, and the product 
will be the area. 

Rule 5. From the circumference only to find the area \ 



SURVEYING. 



48 



multiply the square of the circumference by 0.07958, and the 
product will be tl^OTca. 

Rule 6. The area being given to find the diameter : divide 
the area by 0.7854, and the quotient will be the square of the 
diameter ; from this extract the square root, and you will 
have the diameter. 

Rule 7. The area being given to find the circumference : 
divide the area by 0.07958, and the quotient will be the 
square of the circumference ; from this extract the square 
root, and you will have the circumference. 



SECTION II. 

The following cases teach the most usual methods of taking 
the survey of fields ; also, how to protract or draw a plot of 
them, and to calculate their area. 

Note. Thejield-book is a register containing the length of the sides, 
of a field, as found by measuring them with a chain ; also the 
bearings or courses of the sides, or the quantity of the several an- 
gles, as found by a compass or other instrument for that purpose ; 
together with such remarks as the surveyor thinks proper to make 
in the field. 



CASE I. 



To SURVEY A TRIA?fGULAR FIELD. 

Measure the sides of the field with a chain, and enter their 
several lengths in a field book, protract the field on paper, 
and then find the area by prob. IX. Rule 1 . Or, without plot- 
ting the field, calculate the area by prob. IX. rule 3. 

Fig, 50. 

FIELD BOOK. See Fig. 50. c 

Chains. 

AB - - 20 

BC - - 24 

CA . - 18 

To find the area, 

Ch. L. 
Base BC - - 24.00 
Halfperp.AD - 7.34 ^ ^^ ^^ 




9600 



44 SURVEYL\G. 

9600 
7200 
16S00 



Acres 17)61600 
4 



Roods -2 )46400 
40 



Rods 18)56000 



Acres Roods Rods 
Area 17 — 2 — 18.56 
Note. When there are ciphers at the riorht hand of the liiiks, they 
mar be rejected : remembering to cut o5" a proper number of fig- 
ures according to decimal rules. 

Obserre, That in measuring with a chain, slant or incUned 
surfaces, as the sides of hills, should be measured horizontally, 
and not on the plane or surface of the hill : otherwise, a sur- 
vey cannot be accurately taken. To ecect this, the lower end 
of the chain must be raised from the ground, so as to have 
the whole in a horizontal line : and the end thus raised must 
be directly over the point w^here the chain begins or ends, ac* 
cording as you are ascending or descending a hill ; which 
point may be ascertained by a plummet and line. 



CASE U. 

To SrPvVEY A FIELD IX THE F0B3r OF A TEAPEZirX. 

Measure the several sides, and a diasfonal betv\-een two op. 
posiie angles ; protract the field, and find the area bv prob- 
LEM XI. Or, without protracting the field, calculate the area 
according to the note at the end of that PEOBLEir* 

Fi^. 51. 
FIELD BOOK. 



AB 
BC 
CD 
DA 
0^^--^C . 72. ^ ^^_. 




SURVEYING. 



45 



To PROTRACT THIS TRAPEZtUM. 

Draw the side AB the given length ; with the diagonal AC 
28 and the side BC 11.70 describe cross arcs as at C, from 
A and B as centres ; and the point of intersection will repre- 
sent that corner of the field : then, with the side CD 21.50 and 
the side AD 14.70, describe cross ares as at D, from A and 
C as centres ; and the point of intersection will represent that 
corner of the field. 



To FIND THE AREA. 



Perpendicular B a 
— Dm 



11.34 
11.10 



Half diagonal AC 



22.44 
14.00 

897600 
2244 



Acres 31)416 
4 



Rood 1)664 
40 



Rods 26)560 

Acres Rood Rods 
Area 31 — 1 — 26.56 

Note. The perpendiculars need not be actually drawn ; their length 
may be obtained as follows : From the angle opposite the diagonal 
open the dividers so as when one foot is in the angular point, as at 
B, the other, being moved backwards and forwards, may just touch 
the diagonal at A, and neither go the least above or below it ; that 
distance in the dividers being measured on the scale will give the 
length of the perpendicular. 



CASE III. 



To SURVEY A FIELD WHICH HAS MORE THAN FOUR SIDES, BY 
THE CHAIN ONLY. 

Measure the several sides, and from some one of the angles 
from which the others may be seen, measure diagonals to 



46 



SURVEYING. 



them ; draw a plot of the field, and find the area by prob- 
lem XII. 

FIELD BOOK. See Fig, 52. 

Fig, 52 




30 fiO 





Ch.L. 


AB 


30.60 


BC 


20.40 


CD 


22.40 AC 


DE 


16.20 AC 


EF 


13.50 AE 


FA 


28. 



Diagonals, 



Ch.L. 
45. 
35. 
24.20. 



To PROTRACT THIS FIELD. 

Draw the side AB, making it the given length 30.60 ; with 
the diagonal AC 45 and the side BC 20.40, describe cross 
arcs as at C, from the points A and B as centres, and the 
point of intersection will represent that corner of the field ; 
draw the side BC and the dotted diagonal AC ; with the dia 
gonal AD 35 and the side CD 22.40, describe cross arcs as 
at D, from the Points A and C, and draw the Side CD and 
the dotted diagonal AD. Proceed in this manner till all the 
sides and diagonals are drawn. 



To FIND THE AREA. 



Tne field being plotted, may be divided into one trapezium 
and two triangles ; the area of which is calcu ated as fol- 
lows : — 



SURVEYING. 



47 



The trapezium ABCD. 



Perpend. B a 
— Do 



Halfdiag.AC 



Square chains 



11.68 
17.10 

27.78 
22.50 

143900 
5756 
5756 

647.5500 



The triangle AFE. 
Perpend. En - - 11.65 

Half side AF - - 14 



Square chains 

Acres Roods Rods 
Area 98 — — 34.4 



4660 
1165 

163.10 



The triangle ADE. 
Half perp. Em 
Diag. AD - - - 



Square chains 



4.90 
35 

2450 
1470 

171.50 



Trap. ABCD 
Triangle ADE 
Triangle AFE 



- 647.55 

- 171.50 

- 163.10 

Acres 98)215 
4 



Roods 



.860 
40 



Rods 34)400 



REMARKS. 



As each of the sides of the several triangles, into which the 
preceding plot of a field is divided, is known from the field 
book, the area of the field may be calculated arithmetically, 
by finding the area of each triangle, according to prob. IX. 
Rule 3 ; and then adding the whole together. This method, 
though it may require more time, is preferable to the other, 
because more accurate. Indeed it is always better to calcu- 
late the area of a field arithmetically than geometrically ; 
for in the former no two persons can differ in their calcula- 
tions ; whereas, according to the latter, which is the com- 
mon method of casting the contencs of a field, it is hardly to 
be expected that any two persons will perfectly agree. The 
inaccuracy of scales, and the difficulty of determining with 
precision the length of sides and perpendiculars with a scale 
and dividers, render it almost if not quite impossible to obtain 
the exact area of a field, in the method commonly practised, 
even if the surveyor has measured it accurately in the first 
place. 

Other methods of taking the survey of a field by the chain 
only are mentioned in some treatises on this subject, but they 



48 SURVEYING. 

are rather curious than useful ; and it is much better to ascer- 
tain the asgles by an accurate compass, or some instrument 
designed purposely for taking angles. 



CASE IV. 

To SURVEY A FIELD WITH A CHAIX A>'D COMPASS. 

Measure the length of the sides with a chain, and take their 
bearing or course with a compass ;* enter these in a field 
book ; plot the field on paper, and calculate the area by the 
directions already given. 

To PROTRACT OR DRAW A MAP OF A FIELD. 

Draw a line to represent a meridian, or north and south 
line, from which lay off a bearing or course of the first side 
of the field, with a protractor or from a line of chords ; and 
from a scale of equal parts, measure the length of the side 
and draw a line to represent it. 

At the end of this line draw a line parallel to the meridian 
line, and then lay off the second side of the field as before 
taught ; proceed in the same manner to draw parallel lines, 
and lay off the several sides till the whole is protracted. 

In protracting a field, let the top of the paper be considered 
as north, the bottom south, the right hand east, and the left 
hand west ; lay the course to the right or left of the meridian 
line, according as it is east or west, and upwards or down- 
wards, according as it is north or south. 

In all protractions, if the end of the last distance falls ex- 
actly on the point from which you began, the course also be- 
ing right, the field work and protractions are truly taken and 
performed ; if not, an error must have been committed in one 
of them : in such cases, make a second protraction ; if this 
agrees with the former, it is to be presumed the fault is in the 
field work ; a re-survey must then be taken. 

* A compass may be so constructed with two indexes, one moveable 
and the other fixed, as to ascertain the angle made by two sides, without 
reference to the bearing of those sides. Such a compass would be par- 
ticularly usefiil in surveying land where there are mineral substances 
which have an influence upon the compass needle, attracting it one way 
w the other, and thus rendering it impossible to take a course by ii 
with precision. 





SURVEYING 


FIELD BOOK. 


See Fig. 53. 






Ch. L. 


f 1 


AB. N. 7° 0' 


W. 28.20 




BC. N. 74 


E. 39.50 




»^ 


CD. S. 9 


E. 38. 


i\ i 


\ 


DE. N. 63 20 


W. 14.55 


\ 




EA. S. 74 


W. 28.60 


ill 




Acres Rood Rods 


1 \i 




Area 117 — 1 ■ 


-6 


iaP 




REMARKS. 



49 



Fig. 53. 



The sides of the several triangles into which the plot of a 
field is divided may be found by trigonometry ; and then the 
area of each triangle may be calculated according to pros. 
IX. Rule 3. The sum of the areas of the several triangles 
will be the area of the whole field. This method may re- 
quire more time, but it is perfectly accurate, since no de- 
pendence is placed on the uncertain measurement of scale 
and dividers.* 

In the preceding example, suppose the field divided into 
three triangles. See Fig. 53. In the triangle E\B, the 
sides EA and AB are known from the field book, and their 
contained angle is known from the bearing of the sides. The 
other angles and the side EB may be found by oblique trig- 
o^'OMETRY, CASE III. ; and then there will be the three sides 
to find the area. In the triangle EBC, the side BC is known 
from the field book, and the side EB is found as above men- 
tioned ; the angle EBA is also found as above ; this subtract- 
ed from the angle ABC, which may be found from the bear- 
ing of the sides AB and BC, will leave the angle EBC : there 
will then be the two sides and their contained angle to find 
the third side ; and this being found, there will be the three 
sides to find the area. In the triangle EDC, the sides DE 
and DC are known from the field book, and their contained 
angle is known from the bearing of the sides. The side EC 
and the area may be found as above. 

It is recommended to the learner to make these calcula- 

* As accuracy is of much higher importance than expedition, no 
practical surveyor should ever depend upon his scale and dividers. — Ed. 

E2 



50 



SURVEYING. 



tions, as it will improve him in the knowledge of trigonome- 
try. 

Note. Two sides and their contained angle being given, the area 
may be found by prob. IX. Rule 4. 



Another method of protracting fields. 

Without drawing parallel lines at the end of each side, a 
field may be protracted by the angles made by the several 
sides ; and the angle made between any two sides may be 
found by the following rules. 

Rule 1, If the course or bearing of one of the sides is 
north and the other south, one east and the other west, sub- 
tract the less course from the greater. 

Rule 2. If one is north and the other south, and both east 
or west, add both courses together. 

Rule 3. If both are north or south, and one east and the 
other west, subtract their sum from 180^. 

Rule 4. If both are north or south, and both east or west, 
add the less course, and the supplement of the greater. 

In each case, the result will give the angle contained by 
the two sides. 

To protract a field according to the preceding rules is pre- 
ferable to the method of doing it by parallel lines, though it 
may not be so easy to the learner at first. It is difficult to 
draw parallel lines with perfect accuracy, and a small devia- 
tion from a true line may make considerable difference in the 
plot of a field. 



Example II. 



FIELD BOOK. See Fig. 54. 

Ch.L. 
AB. N. 16O30' E. 22. 
BC. N. 82 E. 19.60 
CD. S. 17 E. 24. 
DE. S. 37 W. 22. 
EA. N. 49 W. 25.20 

Area 85 aeres. 




SURVEYING. 



51 



To DRAW A PLOT OF THIS FIELD, ACCORDING TO THE PRE- 
CEDING RULES. 

Having drawn the side AB, according to the directions be- 
fore given for laying off the first course and distance, com- 
pare the first and second courses together, and they will be 
found to be both north and both east ; consequently, the angle 
between them is found by rule 4, as follows : 16"^ 30' the less 
course, and 98° the supplement of the greater being added, the 
sum is 114° 30', for the angle at B. Compare the second 
and third courses, and they will be found to be one north and 
one south, and both east ; consequently, according to rule 2, 
82° the second course added to 17° the third course, the sum 
99° is the angle at C. The third and fourth courses are both 
south, and one east and the other west. The angle between 
them at D is 126° ; for 17° the third course added to 37° the 
fourth course is 54^, which subft-acted from 180° leaves 126», 
according to rule 3. The fourth and fifth courses are one 
south and the other north, and both west. According to rule 2, 
37*^ the fourth course added to 49° the fifth course, the sum 
86° is the angle at E. 

A little practice will render this mode of protracting a field 
familiar and easy, and an attention to the courses will show in 
what direction the angle is to be made. 



Example III. 
FIELD BOOK. See Fis. 59. 




52 





SURVEYING. 














Ch. L. 


AB. 


N. 


56° 


15' 


E. 


21.60 


BC. 


N. 


26 


30 


E. 


13.44 


CD. 


S. 


71 


30 


E. 


18.96 


DE. 


S. 


26 


30 


E. 


13.44 


EF. 


S. 


71 


30 


W. 


18.96 


FG. 


S. 


45 





E. 


8.47 


GH. 


s. 


63 


30 


E. 


13.44 


HI. 


N. 


45 





E. 


8.47 


IK. 


S. 


26 


30 


E. 


13.44 


KL. 


s. 


45 





W. 


8.47 


LM. 


s. 


63 


30 


W. 


13.44 


MN. 


N. 


76 





W. 


24.73 


NA. 


N. 


36 


45 


W. 


30. 


Acres Rood ] 


Rods 








Area 167 — 


L — 


30 









The above field may be protracted, and its area calculated 
according to the directions given in the preceding examples. 



SeVEEAL field books to exercise the learner I?f PLOT- 
TING FIELDS AND CALCULATING THEIR AREA. 



No. 1, Rods. 

1. N. 15° E. 320 

2. N. 37 30. E. 160 

3. East 120 

4. S. 11 E. 200 

5. South 216 

6. West 160 

7. S. 36 30 W. 160 

8. N. 38 15 W. 136 

Acres Roods Rods 
Area 744: — S — 28 

No. II. Ch. L. 

1. N. 75° 0' E. 13.70 

2. N. 20 30 E. 10.30 

3. East 16.20 

4. S. 33 30 W. 35.30 

5. S. 76 W. 16. 

6. North 9. 

7. S. 84 W. 11.60 



Ch. L. 

8. N. 53M5' W. 11.60 

9. N. 36 45 E. 19.20 

10. N. 22 30 E. 14. 

11. S. 76 45 E. 12. 

12. S. 15 W. 10.85 

13. S. 16 45 W. 10.12 

Acres Roods Rods. 
Area 110 — 2—23 



No. III. Rods. 
65°40' W. 49.7 
67 15 W. 34.5 
W. 17.9 
W. 5.8 

30 E. 29.4 

E. 107.4 
50 W. 22. 
18 30 W. 46. 
Acres Rood Rods. 
Area 34—1 — 19 



S. 
S. 

s. 

s. 
s. 

N. 
N. 
N. 



54 

20 

83 
5 











SURV 


EYI 


P^G. 




53 






No. IV 




Rods. 








Rods. 


1. 


N. 


43° 


W. 


12.44 


16. 


N. 


18^30' 


W. 39. 


2. 


N. 


64 


w. 


8. 


17. 


N. 


86 5 


E. 26.7 


3. 


N. 


52 


w. 


14.60 




Acres Rood Rods 


4. 


N. 


37 5 


w. 


51.36 




Area 48 — 1 


— 13 


5. 


N. 


15 30 


w. 


21.76 










6. 


N. 


20 40 


w. 


44.60 






No. VII. Ch. L. 


7. 


N. 


88 20 


E. 


167.60 


1. 


N. 


0°45' 


W. 9. 


8. 


S. 


34 40 


E. 


71.20 


2. 


N. 


19 30 


W. 5.35 


9. 


s. 


75 W. 


69.72 


3. 


N. 


23 


W. 4.09 


10. 


s. 


55 W. 


64.60 


4. 


N. 


41 35 


W. 6.15 


llj 


s. 


25 W. 


18.12 


5. 


N. 


3 


W. 36.75 




Acres Roods Rods. 


6. 


S. 


86 50 


W. 13.33 




Area 97 — 2 


— 29 


7. 


N. 


2 15 


V^ 17.65 












8. 


N. 


85 45 


E. 12.56 






No. V. 


Rods. 


9. 


S. 


2 10 


E. 8. 


1. 


S. 


11°50' 


W. 


34.6 


10. 


N. 


86 45 


E. 7.38 


2. 


S. 


63 20 


E. 


93 6 


11. 


S. 


3 15 


E. 13.20 


3. 


N. 


4 


w. 


34.9 


12. 


N. 


87 


E. 29.92 


4. 


S. 


89 55 


E. 


40.1 


13. 


N. 


49 20 


E. 4.04 


5. 


N. 


5 20 


W. 


35.5 


14. 


North 


2.23 


6. 


N. 


69 40 


W. 


60. 


15. 


N. 


50 85 


E. 6.50 


7. 


S. 


78 


I W. 


30.6 


16. 


S. 


22 50 


E. 17.94 


8. 


N. 


67 20 


W. 


1.2 


17. 


s. 


34 


W. 3.50 


9. 


S. 


72 30 


W. 


10.4 


18. 


s. 


41 


W. 3. 


10. 


S. 


66 55 


W. 


15.^ 


19. 


s. 


22 50 


W. 9.25 




Acres Rood Rods. 


20. 


s. 


3 40 


E. 2.64 




Area 41 — 1 


-34 1 


21. 


s. 


86 


W. 2.50 












22. 


s. 


25 


W. 14.50 






No. VI 


. 


Rods. 


23. 


s. 


2 


W. 5.38 


1. 


S. 


34° 0' 


E. 


42.8 


24. 


s. 


10 


E. 11.75 


2. 


S. 


29 


E. 


69.4 


25. 


s. 


86 


W. 34.60 


3. 


s. 


64 50 


W. 


53. 




Acres Roods Rods 


4. 


s. 


25 


E. 


4. 




Area 268—3 — 7 


5. 


s. 


m 30 


W. 


39. 










6. 


N. 


25 


W. 


4. 






No. VIII. Rods 


7. 


S. 


64 45 


W. 


32.2 


1. 


S. 


6°30' 


E. 19.1 


8. 


N. 


30 30 


W. 


18.3 


2. 


s. 


63 30 


E. 14.36 


9. 


N. 


56 30 


E. 


34.5 


3. 


s. 


67 


E. 10.68 


10. 


N. 


64 


E. 


12.5 


4. 


N. 


88 


E. 13.3 


11. 


N. 


49 


E. 


14. 


5. 


s. 


3J 30 


W. 32.44 


12. 


N. 


26 10 


W. 


19.3 


6. 


s. 


31 55 


W. 96.5 


13. 


N. 


21 


w. 


18.3 


7. 


s. 


33 25 


W. 34.9 


14. 


N. 


44 10 


W. 


18. 


8. 


s. 


20 45 


E. 3.68 


15. 


N. 


64 40 


E. 


30.5 


9. 


s. 


16 15 


W. 64. 



54 








SURV 


EYI? 


sG. 




10. 


N. 


52°30' 


W. 


12.8 


21. 


N. 


36^ 0' E. 41.56 


11. 


S. 


45 


w. 


13.24 


22. 


S. 


6S E. 80.6 


12. 


s. 


69 


w. 


21.4 


23. 


N. 


44 30 E. 20.4 


13. 


s. 


12 40 


w. 


9.4 


24. 


N. 


2 30 W. 41. 


14. 


s. 


84 20 


w. 


9.5 


25. 


X. 


14 45 W. 62.32 


15. 


N. 


22 15 


w. 


24. 


26. 


N. 


16 W. 14.8 


16. 


North 




9,8 


27. 


N. 


1 45 W. 14.8 


17. 


N. 


29 15 


w. 


30.6 


28. 


N. 


82 30 W. 99. 


18. 


N. 


44 25 


w. 


21.8 








19. 


N. 


61 30 


w. 


23.1 




A 


cres Rood Rods 


20. 


N. 


41 


w. 


10.8 




Area 


135 — 1 — 15 



CASE v. 

To SUEVEY A FIELD FROM ONE STATION AT A>'Y PLVCE 
WITHIX THE FIELD, FRO:?I -^VHICH THE SEVERAL ANGLES MAY 
BE SEEX. 

Take the bearing of the angles, and measure their dis- 
tance from the station. 



FIELD BOOK. See Fig. 56. 



Fis. 56. 










Ch. L. 


From station to A. 


N. 


20 °W. 


8.70 


B. 


N. 


60 E. 


10. 


C. 


X. 


87 E. 


11.40 


D. 


s. 


15 E. 


10.50 


E. 


s. 


60 W. 


12. 


F. 


X. 


Qb W. 


8.78 



TO PROTRACT THIS FIELD. 



Draw a meridian line as X S. From some point in that 
line as a centre, lay off the bearing and distance to the sev- 
eral angles, and draw lines from one angle to another, as 
AB, BC, CD, &c. 



SURVEYING. 



55 



TO FIND THE AREA. 

The Area may be calculated according to prob. XII. by 
measuring diagonals and perpendiculars ; or more accurately 
according to prob. IX. Rule 4. 

As the bearing and distance of the lines from the station to 
the several angles are known, two sides and their contained 
angle are given in each of the triangles into which the plot 
is divided ; the area may, therefore, be readily calculated by 
the RULE above referred to. 

Note. As in the operation, the logarithm of radius is to be subtract- 
ed from the sum of the other logarithms, it may be done by rejecting 
the left hand figure, without the trouble of putting down the ciphers 
and subtracting. 



Triangle aAB. 

aA,8.70 - - - 0.939519 

aB, 10 - - - 1.000000 

SineAaB,80° - - 9.993351 



Doub. area, 85.67 

Triangle aBC. 
aB, 10 - - - 
aC, 11.40 
Sine BaC, 27° 

Doub. area, 51.75 

Triangle aCD. 
aC, 11.40 
aD, 10.50 - 
SineCaD,78<» - 

Doub. area, 117 - 



1.932870 



1.000000 
1.056905 
9.657047 



1.713952 

1.056905 
1.021189 
9.990404 

2.068498 



Triangle aAB 
aBC 
aCD 
aDE 
aEF 
aFA 

Double area 

Area 



aD, 10.50 
aE,12 
Sine DaE, 

Doub. are 

aE, 12 
aF, 8.78 
Sine EaF, 

Doub. are 

aF, 8.78 
aA, 8.70 
Sine FaA 

Doub. Ar 


Triangle 

75° - 
a, 121.7 
Triangle 

55° - 

a, 86.31 
Triangle 

45° 
ea, 54.01 

Acre 
Area2l 


aDE. 

- 1.021189 

- 1.079181 

- 9.984944 


- 2.085314 

aEF. 

- 1.079181 

- 0.943495 

- 9.913365 


- - 1.93«)41 
aFA. 

- 0.943495 

- 0.939519 

- 9.849485 


- 1.732499 


85.67 
51.75 
117.1 
121.7 
86.31 
54.01 


827 
4 

3)308 
40 


12)320 
s Roods Rods 
> — 3-12.32 


516.54 



25)827 



56 



SURVEYING. 



CASE VI. 

To SUEVEY A FIELD FROM SOME ONE OF THE ANGLES, FROM 
WHICH THE OTHERS MAY BE SEEIY. 

From the stationary angle take the bearing and distance to 
each of the other angles, with a compass and chain. 

Fig, 57. 
C 



FIELD BOOK. See. Fig, 57. 




' Ch. L. 

FG. N. 70° W. 14.60 

FA. N. 50 W. 18.20 

FB. N. 30 W. 16.80 

FC. N. 10 W. 21.20 

FD. N. 7 E. 16.95 

FE. N. 30 E. 8.50 

To DRAW A PLOT OF THIS FIELD. 

Draw a meridian line to pass through the stationary angle 
as at F. From the point F, lay off the bearing and distance 
to the several angles, and connect them by lines, as FG, FA, 
FB, &c. 

The area may be calculated as taught in the preceding 

CASE. 

CASE VII. 



To SURVEY A FIELD FROM TWO STATIONS WITHIN THE FIELD, 
PROVIDED THE SEVERAL ANGLES CAN BE SEEN FROM EACH 
STATION. 



SURVEYING. 



57 



Find the bearing from each station to the respective an- 
gles ; and also the bearing and distance from one station to 
the other. 

Fig. 58. 



FIELD BOOK. See Fig. 58. 






First Station. 




AC. 


N. 38° 30' 


E. 


AD. 


S. 69 


E. 


AE 


S. 59 


W. 


AF. 


N. 63 


W. 


AG. 


N. 21 


w. 


AH. 


North. 





Second Station. 

BC. S. 82° 0' E. 

BD. S. 17 E. 

BE. S. 28 W. 

BF. S. 49 W. 

BG. N. 76 W. 
BH. N. 24 W. 

Stationary line AB. N. 14° E. 20 chains. 

To PROTRACT THIS FIELD. 

At the first station A, draw a meridian line and lay off the 
bearings to the respective angles ; draw the stationary line 
AB, according to the bearing and distance ; at B, draw a 
meridian line parallel to the other, and lay off the bearings 
to the angles, as taken from this station ; from each station 
draw lines through the degree which shows the bearing of 
each angle, as marked by the protractor or line of chords, 
and the points where those lines intersect each other will be 
the angles of the field. Connect those angular points to* 
gether by lines, and those lines will represent the several 
sides of the field. 



CASE VIII. 

To SURVEY AN INACCESSIBLE FIELD. 

Fix upon two stations at a convenient distance from the 

F 



58 SURVEYING. 

field, from each of which the several angles may be seen ; 
from each station take the bearing of the angles ; and take 
the bearing and distance from one station to the other. 

Fig. 59. 



FIELD BOOK. See Fig. 59. j 




•r/c 





Second Station. 


B 


BE. 


N. 50° 0' 


W 


BF. 


N. 29 15 


W. 


BD. 


N. 24 


w 


BG. 


N. 21 30 


w 


BH. 


N. 5 


E. 


BC. 


N, 20 30> 
Ch. L. 


E. 



First Station. 

AE. N. 9° 15' E. 

AF. N. 16 E. 

AG. N. 14 30 E. 
AD. N. 39 E. 
AH. N. 40 E. 
AC. N. 72 E. 

Stationary distance AB, S. 88° 30' E. 19.20. 

The directions given in the last case for plotting the field, 
will apply in this case also ; and the area in this and the pre- 
ceding CASE may be calculated in the manner pointed out in 
CASE IV. by dividing the plot into triangles and measuring 
diagonals and perpendiculars. Or the sides may be found by 
trigonometry, and the area calculated arithmetically, as al- 
ready taught. 



CASE IX. 

To SURVEY A FIELD WHEBE THE BOUNDARY LINES ARE 



SURVEYING. 



VERY IHREGULAR, WITHOUT NOTICING WITH THE COMPASS 
EVERY SMALL BEND. 



Begin near one corner of 
the field, as at A, f'ig. 60. 
and measure to the next 
large corner, as B, in a 
straight line ; noticing also 
the bearing of this line. 
From the Une take offsets 
to the several hends, at right 
angles from the line ; noti- 
cing in the field book at *j- 
what part of the line they are 
taken, as at A 1 , H 2, 1 3, B 4. 
Proceed in the same man- 
ner round the field. In the 
figure the dotted lines rep- 
resent the stationary lines, Sj^ 
and the black lines the boun- ' 
daries of the field. 



Fig. 60. 




Bearing and Distance. 


Offsets 


Bearing and Distance. 


Offsets 


Ch.L. 

AB. N. 85° C E. 11.20 

at 5.40 

8.26 

the end 


Ch. L. 
0.56 
1.40 
0.36 
0.36 


Ch.L. 

EF. S. 67° 50' W. 8.20 

at 1.04 

2.96 

5.88 

the end 


Ch. L. 
0.40 
0.36 
0.33 
1. 
0.12 


BC. N. 7° 20' E. 7.96 

at 2.36 

4.28 

the end 


0.20 
0.36 
0.96 
0.30 


FG. S. 270 40'E. 7.06 
at 2. 
the end 


1.20 
0.24 
0.16 


CD. N. 62° 0' W. 4.68 
at 4.34 


0.30 


GA. S. 25° 20' W. 6.48 
at 3.80 
the end 


0.80 
0.40 


DE. N. 11° 10' W. 4.20' 


0.30 



To PROTRACT THIS FIELD. 

Draw the stationary lines according to the directions in 
CASE IVc- From A make an offset of 56 links to I ; measure 
from A to H 540 links, and make the offset, H 2, 140 links ; 
measure from A to I 826 links, and make the offset I 3, 36 
links at B make the offset B 4, 36 links. Proceed in the same 
manner round the field, and connect the ends of the offsets 
bylines, which will represent the boundaries of the field. 



60 SURVEYING. 



To FIND THE AREA. 



Find the area within the stationary lines as before taught ; 
then of the several small trapezoids, rectangles, and trian- 
gles made by the stationary lines, offsets, and boundary lines, 
and add the whole together : thus, add 56 links the offset A 
1 to 140 links the offset H 2 and multiply their sum 196, by 
half 540, the length of the line AH, and the product, 52920 
square links, will be the area of the trapezoid AH21 ; again, 
add 140, the offset H 2 to 36, the offset I 3, and multiply their 
sum, 176, by half 286, the length of the line HI, and the pro- 
duct, 25168 square links, will be the area of the trapezoid 
HI32. Proceed in the same manner to calculate the area of 
all the trapezoids, triangles, &;c. 



CASE X. 

To SURVEY A FIELD BY TAKING OFFSETS BOTH TO THE 
RIGHT AND LEFT ; THAT IS, WITHIN AND WITHOUT THE FIELD, 
AS OCCASION SHALL REQUIRE, IN CONSEQUENCE OF THE STA- 
TIONARY LINES CROSSING THE BOUNDARY LINES ; ALSO, BY IN. 
TERSECTIONS, THAT IS, TAKING THE BEARING OF AN INACCES- 
SIBLE CORNER FROM TWO STATIONS. 

The directions given in the preceding case, together with 
the following field book, will show the learner how to sur- 
vey a field like the following, and also to protract it when 
surveyed. 



SURVEYING. 



61 



Fig. 61, 



FIELD BOOK. 

See Fig, 61. 




Offsets 
to the 
Left 

Ch. L 

1.12 
3.40 
1.25 


Bearing and Distance. 


Offsets 
to the 
Right 


Remarks. 


Ch. L. 

AB. iN. 88° 0' W. 22.12 

at 4.25 

7.40 

13. 


Ch. L. 

1.20 
1.15 


A tower bears from 
A. N. 48S W. 


0.45 


BC. N. 27° 45' W. 21.12 
at 4.10 
10.25 
15. 


From B the tower bears 
N. 38° 30' E. 




C 1. S. 82° 15' E. 5.45 

1 2. N. 70 E. 13.25 

2 D. N. 20 E. 3.36 




From C go into the field 
to 1, on account of some 
impediment oh or near the 
boundary hne. At D, you 
get into another corner of 
the field. 




DF.S. 35°0'E. 15.15 




E, an inaccessible corner, 
bears from D, S. 65° 30' E. 


2.20 
2.32 


FA. S. 15° 15' E. 15.10 

at 1.20 

7.45 

12.25 


0.36 


E, the inacessible corner, 
bears from F. N. 4° W. 



Note. — To draw a tree, house, tower, or any other remarkable object, in 
its proper place, in the plot of a field — from any two stations, while 
surveying the field take the bearing of an object, and the intersection 
of the lines, which represent the bearings, will determine the place 
of the object, in the same manner that the tower is drawn in the 
figure. 

F2 



9^ SURVEYING. 

To FIND THE AREA OF THE ABOVE FIELD. 

Find the area within the stationary Hnes, and then of the 
several small trapezoids, &;c. remembering to distinguish 
those without the stationary lines from those which are with- 
in. Subtract the area of those within the stationary lines 
from the area of those without, and add the remainder to the 
area contained within the stationary lines ; the sum will be 
the whole area of the field. 

[Or, add the areas of those without the stationary lines, to 
the area contained within those lines, and subtract from the 
sum, the areas of the several triangles, trapezoids, &;c. within 
the stationary lines.] 



SECTION III, 

Rectangular surveying, or an accurate method of calcula- 
ting THE AREA OF A FIELD ARITHMETICALLY, FROM THE FIELD BOOK, 
WITHOUT THE NECESSITY OF PROTRACTING IT, AND MEASURING WITH A 
SCALE AND DIVIDERS, AS IS COMMONLY PRACTISED. 

I. Survey the field in the usual method, with an accurate 
compass and chain, and from the field book set down, in a 
traverse table, the course or bearing of the several sides, 
and their length in chains and links, or rods and decimal parts 
of a rod ; as in the 2nd and 3d columns of the following 

EXASCPM. 



SURVEYING. 



63 















d 




Oi 




05 
















■^ 




U5 


1'"' 






5S 




* 




r-t 


g 


1 


o 


*l 


^ 






r^ n 








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CO 




o> 




CO 






^< 


• 


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o< 


1 










o 


CO 












^ 






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s^ 












s 


? 










U5 




. 


. 




. 


IT) 










T-H 


©^ 




















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CO 


<X> 


CO 


•rf 


Oi 


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S^ 






t- 


CO 


^ 


CO 


^ 


^ 


t- 


o 






=^6 


o 


lo 


d 


a> 


OS 


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lO 


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CO 


s^ 


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}> 






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t- 


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tfj 


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(N T-H 


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25 


t- t- 


T-H 1— 1 


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C3 







19143.9019 Sum of South Areas 
4245.4016 North do. 



2)14898.5003 Double Area of the Field. 

Acres 744)92501 
4 



Roods 3)70004 
40 

Rods 28)00160 

Acres. Roods. Rods. 

Area 744—3 — 28 

2. Calculate by right angled trigonometry, case I, or 
find by the table of difference of latitude and departure,* or 

* For an explanation of this table, and the manner of using it, see 
the remarks preceding the table. 



64 SURVEYING. 

by the table of natural sines,* the northing or southing, east- 
ing or westing, made on each course, and set them down 
against their several courses in their proper columns, marked 
N. S. E. W. 

Note. To determine whether the latitude and departure for any paj- 
ticular course and distance are accurately calculated, square each of 
them ; and if they are right, the sum of their squares will equal the 
square of the distance, for the following reason : the latitude and de- 
parture represent the two legs of a right angled triangle, and the 
distance the hypothenuse ; and it is a mathematical truFh, that the 
square of the hypothenuse of any right angled triangle is equal to 
the sum of the squares of the two legs. 

3. If the survey has beea accurately taken, the sum of the 
northings will equal that of the southings, and the sum of the 
eastings will equal that of the westings. If, upon adding up 
the respective columns, these are found to differ very con- 
siderably, the field should be again surveyed : as some error 
must haJV-e been committed, either in taking the courses or 
measuring the sides. If the difference is small, a judicious, 
experienced surveyor will judge from the nature of the ground, 
or shape of the field surveyed, where the mistake was most 
probably made, and will correct accordingly. Or, the north- 
ings and southings, and the eastings and westings may be 
equalled by balancing them, as follows : subtract one half the 
difference from that column which is the largest, and add it 
to that column which is the smallest ; and let the difference, 
to be added or subtracted, be divided among the several 
courses, according to their length. f 

In EXA2yiPLE I. the upper numbers are the northings, &;c. as 
found by a table of difference of latitude and departure. The 
several columns being added, the northings are found to ex- 
ceed the southinors 47 links, and the westings to exceed the 
eastings 24 links. [47 being uneven, drop a link from the 
northings, and it becomes 46. Let half of this ('23) be taken 
from the northings, and added to the southings ;] likewise, 
take 12 links from the westings, and add it to the eastings. 
Take from the first course of the northings 12 links, from the 
second 7, and from the third 5 ; to the first southing add 7 
links, to the second 10, and to the third 6 ; add to the first 
easting 3 links, to the second 3, to the third 4, and to the 
fourth 2 ; take from the first westing 5 links, from the second 
4, and from the third 3. [These are the proportional correc- 

* See the remarks preceding the table of natural sines. 

t This may be done by proportion, or the ride of three. If the dif- 
ference be an uneven number of links, drop a link from the greater 
number, and it will be rendered even.— Ed. 



SURVEYING. 65 

tions belonging to each, as found by calculation.] The lower 
numbers will then represent the northings, &;c. as balanced. 

4. These columns being balanced, proceed to form a de- 
parture column, or a column of meridian distances ; which 
shows how far the end of each side of the field is east or west 
of the station where the calculation begins. This column is 
formed by a continual addition of the eastings, and subtrac- 
tion of the westings ; or by adding the westings and subtract- 
ing the eastings : see examplf. I. 

The first easting, 20.74, is set for the first number in the 
departure column ; to this add 24.38, the second easting, and 
it makes 45.12, for the second number ; to this add 30.04, the 
third easting, and it makes 75.16, for the third number; to 
this add 9.56, the fourth easting, and it makes 84.72, for the 
fourth number ; the fifth course being south, it is evident the 
meridian distance will remain the same, therefore, place 
against it the same easting as for the preceding course ; from 
this subtract 39.95, the first westing, and it leaves 44.77, for 
the sixth course ; from thi^ subtract 23.75, the second west- 
ing, and it leaves 21.02, for the seventh course ; from this 
subtract 21.02, the last westing, and it leaves 0.0, to be set 
against the last course, which shows that the additions and 
subtractions have been accurately made. For as the eastings 
and westings equal each other, it is evident that one being 
added and the other subtracted, there will be in the end no 
remainder. 

5. The next step in the process is to form a second depar- 
ture column, the numbers in which show the sum of the me- 
ridian distances at the end of the first and second, second and 
third, third and fourth courses, &c. 

The first number in this column will be the first in the oth- 
er departure column ; to which add the second number in 
that column for the second in this ; for the third add the se- 
cond and third ; and for the fourth, the third and fourth ; 
and so on until the column be completed. See example I. 

The first number to be placed in the second departure col- 
umn is 20.74 ; to this add 45.12, and it makes 65.86 for the 
second number ; to 45.12 add 75.16, and it makes 120.28, for 
the third number ; to 75.16 add 84.72, and it makes 159.88 
for the fourth number ; to 84.72 add 84.72, and it makes 
169.44 for the fifth number ; to 84.72 add 44.77, and it 
makes 129.49 for the sixth number ; to 44.77 add 21.02, and 
it makes 65.79 for the seventh number; to 21.02 add 0.0, 
and it makes 21.02 for the eighth number. 

6. When the work is thus far prepared, multiply the seve- 
ral numbers in the second departure column by the northing* 
or southings standing against them respectively ; place th@ 



66 SURVEYING. 

products of those multiplied by the northings in the column of 
north areas, and of those multiplied by the southings in the 
column of south areas ; add up these two columns and sub- 
tract the less from "the greater ; the remainder will be double 
the area of the field in square rods or square chains and links, 
whichever measure was used in the survey. 

[In the preceding explanations, the meridian is supposed 
to pass through the extreme west angle of the field. It is 
best always to take the extreme east or west angle.] 

Fig. 62. 

3. 9 — l" 



Demonstration oj thepreceding rules. • 



See Fig. 62. and example I. 



The dotted line A 2 represents the northing, and the line 2 
B the easting made by the first course ; these multiplied to- 
gether, that is, 77.15x20.74=1600.0910, which is double 
the area of the triangle A2B, as is evident from the rule to 
find the area of a triangle, prob. IX. Rule I. This number 
is to be placed for the first number in the column of north 
areas. The line 3C represents the sum of the eastings made 
by the first and second courses, which is 45.12 the second 
number in the first departure column ; if to this you add 
20.74 the length of the line 2B you have 65.86, w^hich is the 
second number in the second departure column, and which 
represents the sum of the two lines 3C and 2B. These two 
lines with the line 2 3 which represents the northing made 
by the second course, and the line BC, one of the sides of the 
field, form a right angled trapezoid. Now, by the rule to find 
the area of such a trapezoid. See prob. X. 65.86x31.66=20 
85.1276, double the area of the trapezoid 2BC3. Place 
this product for the second number in the column of north 
areas. 

To the line 3C add CD 30.04, the easting made by the 
third course, and you have 75.16. which is the sum of the 



SURVEYING. 67 

eastings made by the three first courses, and the third number 
in the first departure column. To this add 9.56, the easting 
of the fourth course, and you have 84.72, the length of the 
line IE, which represents the sum of the eastings made by 
the four first courses, and is the fourth number in the first de- 
parture column. These two, viz. the lines 3D 75.16 and IE 
84.72, added together make 159.88, the fourth number in the 
second departure column ; which, being multiplied by 49.15, 
the length of the line 3 1 which represents the southing 
made by the fourth course, will give double the area of the 
trapezoid lEDB. The number thus produced is 7858.1020, 
which is to be placed for the first number in the column of 
south areas. 

The fifth course being due south, it is evident the sum of 
the eastings will remain the same as at the end of the fourth 
course ; that is, the line 4F equals the line IE, which is 84.- 
72. These added make 169.44, the fifth number in the sec 
ond departure column. This, being multipHed by 54.10, the 
length of the line EF, which is the southing of the fifth course 
as corrected in balancing, and the same as the line 1 4 
will give double the area of the parallelogram 1EF4, which 
is 9166.7040, the second number in the column of south 
areas. 

From the line AF 84.72 subtract 39.95, which is a west 
course, and it leaves 4G 44.77, the sum of the eastings, or the 
meridian distance, at the end of the sixth course, and the sixth 
number in the first departure column. From this subtract 
23.75 the westing made by the seventh course, and you have 
21.02, the length of the line 5H, which is the meridian dis- 
tance at the end of the seventh course, and the seventh num- 
ber in the first departure column. The line 4G 44.77 added 
to the line 5H 21.02 make 65.79, the seventh number in the 
second departure column. This being multiplied by 32.21, 
the length of the line 4 5 which is the southing of the 
seventh course, will give double the area of the trapezoid 
4GH5, which is 2119.0959, the third number in the column of 
south areas. 

The line H5, 21.02, is the westing of the last course, and 
the last number in the second departure column. This being 
multiplied by 26.65, the length of the line 5A, and the north- 
ing of the last course, produces 560.1830, which is double 
the area of the triangle A5H, and the last number in the col- 
umn of north areas. 

Note. It will be observed that against the third and sixth courses 
there are no areas ; the reason is, that these courses being one east 
and the other west, there is no northing or southing to be multi- 



68 SURVEYING. 

plied into them : regard can therefore be had to them only in form- 
ing the departure columns. 

By inspecting the figure, and attending to the preceding 
illustrations, it will be seen that the three north areas repre- 
sent double the area of the triangle A2B, the trapezoid 2BC3, 
and the triangle A5H, all of which are without the boundary 
lines of the field : also, that the three south areas represent 
double the area of the trapezoid 3DE1, the parallelogram 
1EF4, and the trapezoid 4GH5 ; and that these include not 
only the field but also what was included in the north areas. 
Therefore the north areas subtracted from the south, the re- 
mainder will be double the area of the field, contained with- 
in the black lines. 



Additional dieections and explanations. 

The northings and southings may be added and subtracted 
instead of the eastings and westings ; then there will be two 
latitude columns instead of departure columns, and the num- 
bers in the second latitude column must be multiplied into 
the eastings and westings, and you will have east and west 
areas. 

When the course is directly north or south, the distance 
must be set in the north or south column ; when east or west, 
in the east or west column. There will therefore sometimes 
be no number to be added to or subtracted from the number 
last set in the latitude or departure column ; then the number 
last placed in the column must be brought down and set 
against such course ; as in exat.iple I. at the 5th course. 
It may also sometimes be the case, that there will be no 
number to multiply into the number in the second latitude or 
departure column ; then that number must be omitted, and 
against such course there will be no area, as in example I. 
at the 3d and 6th courses. 

When the northings or southings, eastings or westings, be- 
ginning at the top, will not admit of a continual addition of the 
one and subtraction of the other, without running out before 
you get through the several courses, you may begin at such 
a course in the field book as will admit of a continual addition 
and subtraction; and when you get to the bottom go to the 
top, and you will end in cipher at the course next above that 



SURVEYING. 



69 



where you began : as in example II. which begins at the 
9th course to add the eastings and subtract the westings.* 



Example II. 



r^o 


Courses. 


Dis. 


N. S. 


E. 


W. ^^ep. 


2dep. 


North 


South 1 


T. 




rods 








Uol. 


Col. 


areas 


areas 


N.75''0'E.154.8 


14.2 


.... 


52.9! 


144.] 


235.3 


S^4L2(i 1 


2. 


N.20 30E. 


41.2 


38.6 


.... 


14.4 




1585 


302.6 


11680.36 1 


3. 

4. 
5. 
6. 


East 

S.33 30W 
S. 76 OW 
North 


64.1 
141.2 

64 

36 


36" 


117.7 
15.5 


64.8 


77.9 
62.1 


223.£ 

145.4 

83.£ 

83.£ 


381.8 


1 


368.7 




43395.99 
3544.85 


228.7 


, 


166.6 


5997.60 


7. 


S. 84 W 


46.4 




49 


. . . . 


46.1 


37.S 


120.5 


' 590.45 


8. 


N.5315W 


46a 


27.8 


.... 


. . . . 


37.2 


O.C 


37.2 


1034.16 


9. 


N.3645E. 


16.h 


61.5 


.... 


46 




46 


46 


2829 1 


10. 


N.2230E. 


56 


51.7 





21.4 




67.4 


113.4 


5862.78 


11. 


S.76 45E. 


48 




11 


46.7 


...... 


114.] 


181.5 


: 1996.50 


12. 


S. 15 W 


43.4 




41.9 




11.2 


102.S 


217 


9092.30 


± 


S.16 45 W 


40.5 


•— • 


38.8' 


11.7 


91.S 


191.1 


' 7531.08 



Area 110 Acres, 2 Roods, 23 Rods. 

Note. In the above example you might begin at the 4th course to 
add the westings and subtract the eastings ; or at the 6th course to 
add the northings and subtract the southings : or at the 11th course 
to add the southings and subtract the northings. So in every 
survey, some place may be found w^here you may begin to add and 
subtract, without running out before you get through all the cours- 
es.* 

When a field is very irregularly shaped, it will often hap- 
pen that parts of the same area will be contained in several 
different products in the columns of areas ; but in the final re- 
suit, one column being subtracted from the other will leave 
what is included within the boundary lines of the field. 

* Much the most convenient method is to place the course at which 
you begin to add and subtract at the head of the field book. The 
surveyor may easily do this, by observing in the field, which angle of 
the field is furthest east or west, north or south. — Ed. 



G 



70 



SURVEYING. 




Fig, 63. 

L, 

3\ 
4- 

8 
Q, 
3 

Demonstration. ^ 
SeeFig.QS.andEx. ',! 

AMPLE II. ^• 

M 

The area standing against the 9th course^* which is where 
the calculation begins, is the triangle 12K, all without the 
field. 

The area against the 10th course is the trapezoid 2KL35 
also without the field. 

The area against the 11th course is the trapezoid 4ML3. 
This is a south area, and contains a part of the field and also 
part of the preceding north area. 

The area against the 12th course is the trapezoid 5NM4j 
part within and part without the field. 

The area against the 13th course is the trapezoid 6AN5, 
part within and part without the field. 

The area against the 1st course is the trapezoid 6AB7, 
part within and part without the field. This is a north area, 
and to be ultimately subtracted from the south areas ; but this 
includes a part of the preceding south areas, viz. the space 
nAso ; it will, however, be seen hereafter that this same 
space is included in another south area. This north area 
contains also a part of the first north area, viz. the space 
6no7 ; but the same space is also included in another south area. 

The area against the 2d course is also a north area, and is 
the trapezoid 7BC8. This trapezoid contains the space 
sBCx, without the field ; the space osxw, within the field ; 
and the space 7ow8, without the field. But the space os^xw 
will be contained in the next south area ; and the space 7ow8 
which was contained in the two first north areas, will be con! 
tained in the next south area. 

By examining the whole figure in this manner, it will be 

* The numbering, here, corresponds not to the diagram, but to the 
jlELD-BOOK on the last page. After the 8th course, hkewise, in the en- 
graving, the numbers are incorrect, the true 9th course, DE^ being left 
without a number, and the others numbering 9, 10, &c. when they should 
be 10, ll,&c.— Ed. 



SURVEYING. 71 

seen that the north areas contain all without the field that is 
taken into the calculation, and some of it twice over ; they 
also contain part of the area within the field. The south 
areas contain all within the field, and all without the field 
that is contained in the north areas. They also contain, 
twice over, so much of the field as is included in any of the 
north areas ; and likewise, twice over, that part without the 
field which is contained twice in the north areas. So that sub- 
tracting the north from the south areas leaves double the area 
of the field. 

This method of calculating the area of a field by the north- 
ings, southings, eastings, and westings, divides the field, with 
a certain quantity of the adjoining ground, into right angled 
triangles, right angled trapezoids, rectangles or squares, as 
may be seen by the figures. It may therefore with propriety 
be called rectangular surveying. 



A USEFUL PROBLEM. 

To FIND THE TRUE AREA OP A FIELD WHICH HAS BEEN 
MEASURED BY A CHAIN TOO LONG OR TOO SHORT. 

Calculate the area as if the chain was of a true length, then 
institute the following proportion : 

As the square of the length of the true chain ; 
Is to the area, as found by the chain made use of; 
So is the square of the length of that chain ; 
To the true area of the field. 

Example. 

Suppose a field, measured by a two rod chain 3 inches too 
long, is found to contain 41 acres 1 rood and 33 rods, what is 
the true area. 

As the square of 33 feet, the true length of a two rod 
chain ; is to 41 acres 1 rood and 33 rods ; so is the square of 
33 feet 3 inches, the length of the chain used in the survey ; 
to 42 acres and 13 rods. 33 feet= 396 inches. 396x396 
= 156816 square inches. 

41 acres 1 rood 33 rods=6633 rods. 

33 feet 3 inches— 399 inches. 399x399=159201 square 
inches. * 

159201x6633-i-156316=:6733 rods 

6733~-160=42 acres 13 rods, the true area. 



T2 SURVEYING. 

PART II. 

Laying out la.nd. 
PROBLEM I. To lay out any number of acres in the 

FORM OF a square. 

Annex 5 ciphers to the number of acres, which will turn 
them into square links, the square root of which will be the 
side of the square in links. 

Example. L It is required to lay out 810 acres in the 
form of a square. 

Answer. Each side of the 'square must be 9000 links, or 
90 chains. 

PROBLEM II. To lay out any number of acres in 

THE FORM OF A RECTANGLE, WHEREOF ONE SIDE IS GIVEN. 

Divide the number of acres, when turned into square links, 
by the given side ; the quotient will be the side required. 

Example. What must be the longest side of a rectangle, 
which is to contain 25 acres, when the shortest side is 5 
chains and 50 links ? 

Answer, 2500000—550= 4545 links for the longest side. 

PROBLEM III. To lay out any number of acres in a 
FIELD, 3, 4, 5, 6, &;c. times as long as it is broad. 

Divide the acres, when turned into square links, by the ra- 
tio between the length and breadth ; the square root of 
the quotient will be the shortest side. 

Example. It is required to lay out 100 acres 5 times as 
long as it is broad. 

Answer, 10000000-^5=2000000 the square root of which 
is 1414 links for the shortest side, and the longest will be 7070 
links. 

PROBLEM IV. To make a triangle which shall con- 
tain A GIVEN number OF ACRES, BEING CONFINED TO A CER- 
tain BASE. 

Double the given number of acres, to which, annex 5 ci- 
phers, and divide by the base ; the quotient will be the per- 
pendicular height in links. 

Example. Upon a base of 40 chains to lay out 100 acress 
in a triangular form. 

Answer. 5000 links or 50 chains will be the length of th@ 
perpendicular. 



SURVEYING. 



73 



The perpendicular may be erected 
jfrom aay part of the base : thus, the 
triangle ABC, see Fig. 64. is the 
same as ABE, each containing 100 
acres. 




When the given base is so situ- 
ated that a perpendicular of suf- 
ficient length cannot be erected 
therefrom, continue the base as 
from B to D, Jig. 65. from 
which erect the perpendicular 
DC, and complete the triangle 
ABC, which will contain 100 
acres. ^ 



Fig. 65. 




PART III. j: : J 

Dividing land. 

As different fields are so variously, and many of them ir- 
regularly shaped, and as they are required to be divided in 
many different proportions, it is difficult to give rules which 
will apply to particular cases. The business of dividing land 
must therefore be left, in a great measure, to the skill and 
judgment of the surveyor ; who, if he is well acquainted with 
trigonometry, and with measuring land, will not find it diffi- 
cult, after a little practice, to divide a field in such a manner 
as shall be desired. If he has before him a plot of the field, 
and knows the number of parts into which it is to be divided, 
and the proportion which each part is to bear to the others, 
he will readily find out where the dividing lines are to be 
drawn. 

A few RULES and examples will be given for the general 
instruction of the learner. 



PROBLEM I. To cut off any number of acres from 

A SQUARE OR RECTANGLE. 

G2 



74 



SURVEYING. 



Say, as the whole number of acres in the field ; is to the 
length of4he square or length or breadth of the rectangle ; so 
IS the number of acres proposed to be cut off; to their propor- 
tion of the length or breadth. 

PROBLEM II. To cut off any number of acres by a 

LINE FROM ANY ANGLE OF A TRIANGLE. 

Measure the base, or side opposite the angle from which 
the dividing line is to be drawn ; then say, as the number of 
acres in the whole triangle ; is to the whole base ; so is the 
given number of acres ; to their part of the base. 

Fig. m. 



Example. See Fig, 66. 




In the triangle ABC, which contains 48 acres, it is requir- 
ed to cut off 18 acres, by a line proceeding from C to the base 
AB, which is 40 chains. 
As 48 : 40 : : 18 : 15 

Lay 15 chains on the base from B to D, and draw the line 
CD. The triangle will then be divided as was proposed ; 
BCD containing 18 acres. 

PROBLEM III. To take off any given number of 

ACRES from a multangular FIELD. 

Fig, 67. 
D 




Example I. See Fig. 65. 



Let ABCD, &c. be the plot of a field containing II acreSy 
from which it is required to cut off 5 acres. 

Join two opposite corners of the field as D and G, with the 
line DG (which you may judge to be near the partition line) 
and find the area of the part DEFG, which, suppose, may 
want 140 rods of the quantity proposed to be cut off. Mea- 



SURVEYING. 



t5 



sure the line DG, which, suppose to be 70 rods ; divide 140 
by 35 the half of DG, and the quotient 4 will be the length of 
the perpendicular of a triangle, whose base is 70 and the area 
140. Lay off 4 rods from G to i, and draw the line DI, which 
will be the dividing line.* 



Example If. See Fig. 68. 



Let ABCD, &c. be a tract of 
land to be divided into two equal 
parts, by a line from I to the oppo- 
site side CD ; to find arithmetical. 
ly on what part of the line CD the 
dividing line IN will fall ; or to find 
the distance CN. 



Ficr. G8. 




FIELD BOOK. 

Rods. 



AB. N. 19° 0' E. 108 

BC. S. 77 E. 91 

CD. S. 27 E. 115 

DE. S. 52 W. 58 

EF. S. 15 30 E. 76 



Rods. 

FG. West 70.9 

GH. N. 36° 0' W. 47 
HI. North 64.3 

I A. N. 62 15 W. 59 
Acres Rood Rods 
Whole area 152 — 1 — 25 



Find the area of the part lABC, according to section III. 
page 57, as follows : set the latitude and departure of the 
three first sides, lA, AB, and BC, in their proper columns, in 
a traverse table ; and place as much southing, viz. 109.1, 
equal to the line CK, and as much westing, yit.. 71.7, equal to 
the line KI, as will balance the columns. This southing and 
westing will be the latitude and departure made by the line 
CI. the area of lABC will be found to be 8722 rods, which 
is less than half the area of the whole field by 3470 rods, the 
quantity to be contained in the triangle ICN. 



* This explanation supposes DG and AG at right angles to each 
other. When they are not at right angles, the height GI must not be 
measured on the side of the field. — Ed. 



76 



SURVEYING. 



Find the bearing and distance of CI by right angled trig- 

ONOMETRY, CASE IV. aS folloWS :* 

As CK, the southing of CI, 109, nearly - - 2.037426 

: radius . _ lO.OOOOOO 

::KI, the westing of CI, 71.7 - - - - - 1.855519 

11.855519 

2.037426 

: tangent courses. 33° 20' W 9.818093 

As sine course 33" 20' 9.739975 

• departure KI 71.7 1.855519 

: : radius 10.000000 



11.855519 
9.739975 



I Distance IC 130.5 



2.115544 



Note. In this way the course and distance may be found from any 
an^le of a lield to another. 

Having found the line CI, divide 3470, the number of rods 
to be contained in the triangle ICN, by one half the line CI, 
viz. 65.25 ; the quotient will be the length of the perpendic- 
ular PN, viz. 53.18. 

Now, by the bearings of CI and CD, it appears that they 
form an angle of 60° 20' ; wherefore, in the triangle CPN 
are given the side PN 53.18, and the angle at C 60^ 20', to 
find the hypothenuse CN. 



As sine PCN 60° 20' 
: side PN 53.18 
: : radius 



: hyp. CN 61.2 



9.938980 
1.725748 

10.000000 

11.725748 

9.938980 

1.786768 



Thus the dividing line must go from I to a point on the 
line CD, which is 61.2 rods from C. The bearing and dis- 
tance of this line may be found by the directions given above 
for finding the bearing and distance of the line CI. Or, they 
may be found by oblique trigonometry, case III. 

* The mode given above is undoubtedly the most correct, but the 
use of the traverse table will save many figures. From that table the 
course and distance of CI, may be found at sight.— Ed. 



SURVEYING. n 



Another method of finding the distance CN. 

Having ascertained the latitude and departure of the line 
CI, set them down in a traverse table ; find the latitude and 
departure of the line CD, and place them in the table ; the 
difference between the northing of the line IC, and the south- 
ing of the hne CD will be the southing of the line DI, viz. 
6. 6 ; and the sum of the eastings of those lines, as they are 
both easterly, will be the westing of the line DI, viz. 123.9. 
Proceed to calculate the area of the triangle ICD, which will 
be found to be 6522 rods, nearly. 

Note. As in this triangle two sides and their contained angle are 
g-iven, the area may be found by prob. IX. rule 4, -page 40. 

Having found the area of this triangle, proceed to find 
CN according to prob. II. page 74, as follows : 

As the area of the triangle ; is to CD the base ; so is the 
quantity to be contained in the triangle ICN ; to CN its pro- 
portion of the base. 

As 6522: 115:: 3470: 61.19. 



A THIRD METHOD OF FINDING THE DISTANCE CN. 

To the logarithm of double the area to be contained within 
the triangle ICN add radius ; from this sum subtract the loga- 
rithmic sine of the angle at C ; and from the remainder sub- 
tract the logarithm of the side IC ; the last remainder will be 
the logarithm of the side CN. 

The double area of the triangle ICN is 6940 ; the anale at 
C is 60° 20' ; the side IC is 130. 

Double area 6940 - . 3.841359 

Radius - - - 10.000000 



13.841359 
Sine ICN 60° 20' . • 9.938980 



3 902379 
Side IC 130.5 . - 2J15544* 



Side CN 61.21 - - 1.786835 



* The lof. of IC, as found by calculation on page 76, is employed, 
instead of taking from the tables, that of 130.5, which is not the exact 
length of IC.—Eo. 



8 SURVEYING. 

Note. Radius may be added by placing a unit before the index of 
the logarithm for the double area, without the trouble of setting 
down the ciphers. 



Br ^ATUKAL SIXES. 

Divide the double area by the natural sine of the given an- 
gle, and that quotient by the given side : the last quotient will 
be the side CX. 

Nat. sine of the ande at C 60^ 20' 0.86892 

6940-^0.36892= 7 9S6.92 

7986.92—130.5=61.2 



From the above the follo\ving general rule may be drawn. 

to fixd the side of a teiaxgle whe^" the area is giv- 
zx, and also oxte of the sidesj and the angle coxtaixed 
between the given side ajst) the side requieed. 

to the l0gaeith3i of double the area add radius ; 
from this 3u3i subtract the logarithillc sine of the 
given angle, and from the re^iain^der subtract the log- 
arithm! of the given side ; the last remainder will be 
the logarithm of the side required. 

Or, By natural sines : divide the double area by the 

NAT. sine of the GIVEN ANGLE, AND THAT QUOTIENT BY THE 
GTVEN SIDE : THE LAST QUOTIENT WILL BE THE SIDE REQUIR- 
ED. 



CONCLUDING REMARKS. 

Other methods of surveying fields are tautrht by some 
authors on this subject. The preceding, however, will be 
found most useful in actual practice. Other instruments be- 
sides those mentioned in this book are sometimes used ; 
such as the plain table, semicircle, perambulator, theodo- 
lite, ike. But of these instruments very little use is made in 
New-England ; and they are not often to be met with. For 
general practice none will be found more useful than a com- 
mon chain, and a compass upon Rittenhouse's construction. 
A surveyor should also provide himself with an offset staff, ten 



SURVEYING. 79 

links in length, and accurately divided into links. This should 
be made of firm hard wood, and will be found very conveni- 
ent in taking offsets, and also in measurmg the chain ; which 
should be often done, as from a variety of causes a chain is li- 
able to become inaccurate. 

It will be observed that in this work there are no descrip- 
tions of mathematical and surveying instruments. The com- 
piler omitted such descriptions from a belief that nothing 
which can be written on the subject will enable a person to un- 
derstand them without an actual inspection of the instruments 
themselves, and some instruction from those acquainted with 
them. 

The general principles here taught may be applied to the 
surveying of townships, roads, rivers, harbours, &c. 



mtWi 



APPENDIX. 



Of the declination a>-d variation of the magnetic 
keedle, and of the attractions to which it is srsject. 

The declination of this needle is the number of degrees it 
deviates from the true north, either east or west. This differs 
in different places, and in the same place at different times. 
[At Hartford, Conn, the declination was, in 1829, 6^ 3' west 
of the true meridian of the earth ; and was increasing by an 
annual variation of about 3'.] 

The following method of ascertaining the variation, by the 
north star has been adopted by many surveyors, as the most 
eligible to be practised on land. It was communicated to 
the compiler by Moses Warren, Jun. Esq. of Lyme, an ex- 
perienced surveyor, with permission to publish it. 

The star commonly called the north star, is not direcdy 
north but revolves round the pole in a small circle, once in 24 
hours.* It can therefore be due north only twice in that pe- 
riod ; and that is within a very few minutes of the time, when 
a star, called AJiotJi in the constellation of Ursa major, or the 
great bear, is directly over or under it. There is also anoth- 
er star nearlv in an opposite direction from the pole, called 
Gamma, in the constellation of Cassiopeia. When thes^ 
three stars are vertical the north star is very near the merid- 
ian ; and when they are horizontal, it is at its greatest elon- 
gation, that is, at its greatest distance east or west of the 
pole, and on the same side as the star in Cassiopeia. The 
variation may be calculated when the star is on the meridian, 
or when at its greatest elongation ; more accurately, howev- 
er at the latter period, because its motion being then nearly 

* More exactly, 23 hours, 56 minutes and 4 seconds. — Ed. 



APPENDIX. 



81 



vertical for some time, gives the observer opportunity to com. 
plete his observation.t 

To find the elongation of this star in any latitude, its 
declination must be known ; that is, its distance north of the 
equator. This being found, institute the following propor- 
tion : 

As co-sine of the latitude ; is to radius ; so is co-sine of 
the declination ; to sine of the elongation.* 

The declination of the north star, January 1, 1810, was 
88^ 17' 28", and increasing at the rate of about 19 seconds 
and one half annually. 

In the following table, the elongation is calculated for ten 
successive years, ending with 1840, and for seven different 
latitudes. The calculation is made for the first of July, and 
of course gives the mean angle for the year. 

Table showing the elongation op the north stab. 



Years. 


32° 


34° 


36° 


38° 


40° 


42° 


44° 


1831 


10 


521' 


1° 55' 


1 c 


> 581' 


2c 


H' 


2 


5' 


2 


9 


2 13 


1832 




52" 


1 541 




58 


2 


1 


2 


4i 


2 


8^, 


2 121 


1833 




5H 


1 54 




57i 


2 


Oi 


2 


4 


2 


8 


2 121 


1834 




51 


1 53i 




57 




591 


2 


4 


2 


"7^ 


2 12 


1835 




501 


1 53 




561 




59 


2 


3 


2 


H 


2 11 


1836 




50 


1 521 




56 




581 


2 


21 


2 


6 


2 101 


1837 




501 


1 521 




551 




581 


2 


2 


2 


H 


2 10" 


1838 




50 


1 521 




55 




58" 


2 


n 


2 


5 


2 91 


1839 




491 


1 52" 




541 




571 


2 


1 


2 


H 


2 9' 


1840 


1. 


49 


1 511 


1, 


54 


JL 


571 2 


01 2 


_£ 


22 81 



* This angle is usually called azimuth. — Ed. 

+ The following figure exhibits a view of the relative situation of 
these stars, as they appear, when in a horizontal position ; or when the 
north star is in its greatest eastern elongation. 

The Great Bear. Cassiopeia. 



* 



* 



^ Alioth Pole 



* 



N. star 



Gamma ^ 



^ 



H 



82 APPENDIX. 

The elongation for the latitude of the observation being 
calculated, or taken from the above table, proceed to find its 
range, according to the following directions ; 

Take a pole 18 or 20 feet in length ; to the end of it fast- 
en a small line ; raise it to an elevation of 45^ or 50° ; and 
support it by two crotches of suitable height to keep it firm 
in its place. At the end of the line near the ground, fasten 
a weight of half a pound or more, which should swim in wa- 
ter to prevent the air from moving the line. Southward of 
the line fix a compass sight, or other piece of metal or wood, 
with a narrow, perpendicular aperture at a convenient height 
from the ground, say about 2 or 2 1-2 feet ; and let it be so 
fixed that it can be moved a small distance east or west at 
pleasure. Let an assistant hold a hght either NE. or NW. 
of the line, nearly as high as the range from the sight to the 
north star, in such a position that the line may be plainly 
seen ; then, (the three stars above mentioned being parallel 
or nearly so with the horizon) move the sight-vane east or 
west, until through the aperture, the line is seen to cut the 
star ; and continue to observe, at short intervals, till the star 
is seen at its greatest elongation. Let a lighted candle be 
placed in an exact range with the sight-vane and line at the 
distance of 20 rods or more, which should stand perpendicu- 
larly, be made fast, extinguished, and left till morning. Then 
the sight-vane, the line, and the candle, will be the range of 
elongation, which observe accurately with a compass ; and 
if the elongation be east and the variation west ; the former 
must be subtracted from the latter ; and if they are both west 
they must be added, and their difference or sum will be the 
true variation.^ 



Of the attraction of the needle. 

It is well known that any iron substance has an influence 
upon the magnetic needle, attracting it one way or the other 
upon the point where it would settle, were there no such 
attraction. A surveyor should therefore be careful to see 
that no iron is near the compass when taking a bearing. But 
as the earth in certain spots contains, near its surface, iron or 
other minerals, which attract the needle, it will frequently 
happen that it will point wrong. To ascertain whether this 
is the case, the surveyor, at each station, should take a back 

* The author, in common with many writers, employs the term va^ 
riation^ as synonymous with declination. Variation is properly, how- 
ever, the change ofdeclinaiion.^ED. 



APPENDIX. 83 

view of the one last left ; and if he finds that the compass 
does not reverse truly, he may be sure, provided the compass 
be accurately graduated and placed horizonally, that he ei- 
ther made a mistake at the last station, or that in one or the 
other or both of the stations, the needle was attracted from 
the true point. When he finds a place where he suspects 
there is an attraction, he should go a few rods backward or 
forward, and see whether the needle points differently. In 
this way he may prevent mistakes in his field notes, which 
would arise from putting down a wrong course. To take 
back sights is particularly necessary in running long lines, 
and laying out new lands, where the needle is the only thing 
to guide the surveyor. 

By practice and experience a knowledge will be acquired 
on this subject, and with regard to many other things in sur- 
veying, which cannot be taught by books ; and after all the 
directions which can be written, the practitioner will fre- 
quently find occasion for the exercise of his own judgment. 



A RULE TO FIND THE DIFFERENCE BETWEEN THE PRESENT 
VARIATION OF THE COMPASS, AND THAT AT A TIME WHEN A 
TRACT WAS FORMERLY SURVEYED, IN ORDER TO TRACE OR RUN 
OUT THE ORIGINAL LINES. 

Go to any part of the premises where any two adjacent cor- 
ners are known ; and if one can be seen from the other, take 
their bearing ; which compared with that of the same line in 
the former survey, shows the difference. But if one corner 
cannot be seen from the other, run the line according to the 
given bearing, and observe the nearest distance between the 
line so run, and the corner ; then work by the following pro- 
portion : 

As THE LENGTH OF THE WHOLE LINE, 
Is TO 57.3 DEGREES,* 

so is the said distance, 

to the difference of variation required. 

Example. 

Sappose it be required to run a line, which, some years 
ago, bore N. 45° E., distance 20 chains, and in running this 
line by the given bearing, the corner is found 20 links to the 
left hand ; what is the present bearing of this line ? 

* 57.3 degrees is the radius of a circle (nearly) in such parts that 
the circumference contains 360. 



84 APPENDIX. 

Ch. Deg. L. 

As 20 : 57.3 : : 20. 
100 20 



2000 1146.0 
60 



2000)6S760(34 Minutes. 
Answer — 34 minutes to the left hand is the allowance re. 
quired, and the line in question bears X. 44^ 26' E. 



The compiler of this work acknowledges himself under ob- 
ligations to George Gillet, Esq. Surveyor General of the 
state of Connecticut, for the following illustrations, remarks. 
and miscellaneous questions, considering them calculated to 
be useful to the learner, and the practical surveyor. They 
came to hand too late to be inserted in their proper places, in 
the body of the work, and are here put together in the appen- 
dix. 



Remarks on the ikeeguiarities of the mag>-etic ^-EE. 

DLE. 

By a statute of this state, applicants for the appointment of 
county surveyor are required to be well skilled in the theory 
of the most approved method of surveying lands. It is also 
as necessary that they should be as well skilled in practical 
survepng. Practical knowledge must be acquired by expe- 
rience ; but no one can have a thorough knowledge of cor- 
rect practice vvithout being made acquainted with the imper- 
fections and irregularities of the magnetic needle. 

It is supposed, by most people, that this instrument, in all 
places, points exactlj- towards the poles of the earth, and that 
its direction remains as permanent as the poles themselves — 
an infallible guide.* This is a mistaken idea. A few re- 
marks on this subject will here be offered, and some facts re- 
specting it stated. 

* There is one line around the globe on which there is no variation. 
The general course of this line, on this side of the globe, is from north- 
west to southeast, but is crooked and irregular in its course. Accord- 
ing to Dr. Holly's chart, made in 1700, the line of no variation crossed 
the meridian of London in 55'^ south latitude — crossed the equator in 
170 \v. longitude — from thence, by various windings, to the island of 
Bermuda, from thence nearly a west course until it struck the conti- 



APPENDIX, 85 

Notwithstanding the great utility of the magnetic needle, 
it cannnot be relied on where great accuracy is required, on 
account of the irregularities to which it is subject, viz. its an- 
nual and diurnal variations, and what is the cause of still 

ncnt near Charleston, in South Carolina. This line is not stationary, 
but is ever varying its position ; and, notwithstanding the irregularity 
of its courses, it never crosses itself. About 1756, another variation 
chart was made, when it was found that the line had fallen so far to the 
west that it struck the continent near the coast of Florida. On the 
east side of this line, the magnetic needle points to the west of north, 
and on the west side it points to the east of north, and a regular in- 
crease of either east or west variation is found from it, on it^ op- 
posite sides. The line of no variation now runs through Penn- 
sylvania, and not far from Norfolk, in Virginia. When the Connec- 
ticut Western Reserve was surveyed into townships, the variation at 
that place was easterly from one to two degrees. In 1813, at New-Or- 
leans, the variation was easterly, about eight or nine degrees. In 
1701, at Philadelphia, the variation was westerly, eight degrees and a 
half. In 1794, at the same city, the west variation had diminished to 
one degree and a half, Avhich proves that the progress of the line of no 
variation had been from west to east. In 1813, by observations at this 
city, it was found that the west variation had increased to about two or 
three degrees. By a series of observations, commenced at Hebron in 
Connecticut, by the writer of this, in 1805, and continued to 1813, it 
was found that the west variation during that period increased more 
than half a degree. The result of these observations agrees with those 
at Philadelphia, that there had been a retrograde motion of the needle. 
Since 1813, the west variation had diminished, or certainly it has not 
increased. The west variation at Hebron is now (1825) a few minutes 
more than five degrees. In 1580, at London, the magnetic needle 
pointed eleven degrees and a half to the east of north, which proves 
that the line of no variation was east of that place. The east variation 
diminished until 1657, when the line of no variation arrived there and 
soon passed by ; of course west variation began, and continued to in- 
crease until 1806, when it exceeded twenty-four degrees. 

The line of no variation must have had a rapid progress through the 
Atlantic and through a great part of the United States, to havs arrived 
at Charleston in 1700, and at the coast of Florida in 1756. The pres- 
ent bearing of all old lines in this state prove that there has been a con- 
siderable decrease of west variation since the first surveys were made ; 
which also proves that the progress of the line of no variation, in the 
United States, has, for a long time, been from west to east. How far 
the line of no variation progressed westward in the interior of this 
country before it turned, no one can tell. It is unaccountable how the 
west variation in London should increase, while at Philadelphia it was 
diminishing, when both places are on the same side of the line of no 
variation. The variation of the needle has long been a subject of much 
perplexity. Observations have been made in abundance. Many facts 
have been ascertained, but the difficulty is, they are not reducible to 
system. The polarity of the magnetic needle, with its variations and 
irregularities, is a hidden mystery, which is never to be searched out by 
man. It is sufficient in itself, without any other evidence, to cause the 
reflecting mind to wonder at, admire, and adore the wisdom, kno)vl- 
edge, and power of HIM who planned and directs it. 

H2 



66 APPENDIX. 

greater perplexity, its local attractions. Whe:i an old course 
is given, to renew a line, it cannot be depended on, on ac- 
count of the change in declination, between the time of the 
first running, and the renewal of the line. 

No annual rate can be fixed on for the variation of the mag- 
netic needle, as its motion is much more rapid in some years 
than in others. By observations made at London during a 
period of more than two hundred years, it appears that in 
some years the motion of the needle Vas rapid, in others, but 
little could be discovered, and, in some years, the motion was 
retrograde. There is no regularity in its motion in any 
place. 

Another difficulty in retracing a line from an old course or 
from one recently given is, that it is often found that two com- 
passes do not make the same course. It was well known to 
the celebrated Rittenhouse, that his compasses did not all 
agree, or make the same course, and he was never satisfied 
as to the reason of it. It has also been ascertained that dif- 
ferent needles do not point alike at the same place. French 
writers on magnetism, have lately treated on this subject. 
Two compasses may differ a quarter of a degree or more or 
less, when no defect can be discovered in either. A survey 
may be taken as correctly with one as the other. The ques- 
tion then naturally arises, which of the two is right ? The 
answer is, both are right ; neither of them points directly to 
the poles of the earth, except on the line of no variation.* 
All that can be said of them is, that one has a greater varia- 
tion than the other, and that which has the least cannot have 
the preference. The diurnal motion of the magnetic needle 
is another defect in it. As the sun rises in the forenoon, 

* Both are certainly right, for there can be no doubt that the mag- 
netic axes in each, in most cases, arrange themselves accurately in the 
direction of the magnetic poles of the earth. Is it not rational to sup- 
pose, then, that one or both of these axes is slightly oblique to the di- 
rection of the needle ? A similar deviation might be produced, incase 
the magnetic axis should lie on one side of the pivot on which the nee- 
dle rests. The stronger attraction of the nearer pole 'uould cause a va- 
riation tovrards the opposite side. But whatever may be the cause of 
disagreement between compasses, it is not to be supposed that it would 
cease to act on the Ime of no variation. Compasses which differ in 
one place, will probably differ the world over. As the cause of this 
difference operates with uniformity, it is easy to understand that a sur- 
vey may l-e as accurately taJien with one, as with the other : but that 
should decidedly have the preference, the direction of which most near- 
ly corresponds with the known declination at the place. A survey, ta- 
ken by a needle which deviates from this, may be a fruitful source of lit- 
igation, when it is endeavoured to retrace the boujadaries with a more 
accurate instrument. — Ed. 



APPENDIX. 87 

and the earth becomes heated, it has an effect on the unknown 
something which gives polarity to the needle, and turns the 
north end of it to the west. In the afternoon and night fol- 
lowing, the needle returns to its position. 

For several years, the writer made observations with a Rit- 
tenhouse's compass, to ascertain the diurnal motion ; and in 
the summer season usually found it about a sixth part of a de- 
gree. In the winter little or none could be discovered. The 
diurnal motion of the needle has been known in Europe about 
a century. f Local attraction, is likewise, one of the causes 
of the irregularities, to which the magnetic needle is subject. 
This is found oftener in hilly, broken lands, filled with ledg- 
es, than in level, feasible land, where there are no ledges. As 
the sources of attraction are generally out of sight, ther situa- 
tion should be determined by experiment. They sometimes 
cause the needle to deviate more than a degree, and often oc- 
casion a more trifling inaccuracy. The writer has known a dif. 
ference of more than five degrees within a distance of 40 rods. 

When an old line is to be renewed, where the bounds have 
been lost, the surveyor may verify or prove his accuracy in 
various modes. If he finds, for example, that the lots on 
each side of his line contain their due quantity, or possess 
their full width, he will have reason to believe that the line is 
accurately run : if not, he may allow for the excess or defi- 
ciency in either of these lots, and thus discover the true po- 
sition of the line. It would be difficult to mention all the 
circumstances which may govern, or which may serve as ev- 
idence in such cases. 

After all, the magnetic needle is the best guide that has 
yet been discovered, and it cannot be dispensed with in land 
surveying ; but the surveyor who is best acquainted with it, 
will make as little use of it as he can. In small surveys, 
where one angle may be seen from another, the quantity of 
each angle may be taken by an instrument constructed for 
that purpose, without the use of the magnetic needle ; and 
the sides may be measured, and one side, no matter which, 
may be made a meridian, and from that meridian courses 
may be calculated for the other sides, and the survey may be 
calculated by the rules of rectangular surveying. This me- 
thod has been recommended by theorists, and the ingenuity 
displayed in the invention, together with the correctness of it, 
so far as it is practicable, must be acknowledged ; but in lar- 
ger surveys, it cannot be introduced to practice, on account of 
the obstructions which often intervene betweenthe angular point 
and the terminations of the two contiguous lines which contain 

t The diurnal motion is mentioned in Dr. William's History of Ver- 
mont. 



APPENDIX. 



the angle : in such cases, the danger in taking the quantity of 
an angle will be greater than with the magnetic needle.* 

If in every town in the state, a meridian line was establish- 
ed by the motion of the heavenly bodies, and such meridians 
were perpetuated by durable monuments, whenever a survey 
was to be taken in the vicinity of a meridian, a surveyor might 
set his compass on it and note the variation found, and that 
variation should be inserted in the deed or in whatever wri- 
ting or instrument by which the land is conveyed and made a 
record ; this would assist a surveyor at any future period in 
retracing those lines, by setting his compass on the same me- 
ridian and allowing the same variation that was allowed when 
the survey was made.f This would tend greatly to the secu- 
rity of landed property, and perhaps would be the best reme- 
dy for the variation of the magnetic needle, and for the differ- 
ence between two compasses which differ, that can be invent- 
ed. 

0^' PRACTICAL S^SVEYI^*G. 

It would be no easy matter to describe all the ditferent me- 
thods which may be employed in different cases, in taking 
the field-work of a survey. Only one case will be given 
here, which is represented bv the following figure. See Fig. 1. 

Fig, 1. 

The survey was be- 

gun at the corner num- ^ 7n 2 

bered 1. The corner 

numbered 2 was in a 

pond. The course and 

distance were taken / ""-{7^ 

from 1 to ?7i, then from 

m to n. The angle at 

2 was righl, of course 

there w^as a right an- 

gled triangle, wherein 

the angles and hypoth- 

enuse were given, to 

find the sides m2 and \ / _.,0 

2n. From n to 3, the ^'-'--.^^^ "^ ^.^"^ 

course and distance *^*-- »-_---'^' 

were taken on the line. 

* In proportion as the value of land increases the use of the compass 
in surveying wiU be probably abandoned. It is, at the present time en- 
tirely laid aside in the accurate surveys in England ; and though lines 
may be more expeditiously run with a compass than otherwise, yet the 
other mode may be employed, under all circumstances and with far 




->a 



greater accuracy. — Ed. 

t There is some obscurity here in the author's phraseology. 



He 



APPENDIX. 80 

The next line ran through a thicket in a swamp, where noth- 
ing could be done correctly. Courses and distances were 
taken from 3 to s, thence to z, thence to 3, and the course 
and distance of the line 3 — 4 were calculated by u traverse 
from those courses and distances. t At the angle 5, a tree 
stood on a high bluff of ledges, inaccessible on either line ter- 
minating at that point. The course from 4 to 5 was taken 
at 4. Next, the course and distance were taken from 4 to a, 
and from a the course was taken to 5. Next, the course and 
distance were taken from a to 6, and from 6 the course was 
taken to 5. Two oblique triangles, with the angles and one 
side in each, were given to find the sides 4 — 5 and 5 — 6.* 
The closing hne ran through thick bushes and water, and the 
course and distance were taken on the dotted line to the line 
1 — 2, at a point twenty rods from 1. The course and dis- 
tance of 6 — 1 were calculated accordingly. 

Whenever a line runs through or over a place where it is 
difficult to take either course or distance correctly, if, by ta- 
king a traverse around at a little distance, the surv eyor can 
have level, clear land, and then calculate his course and dis- 
tance by the traverse, he will be more likely to ascertain the 
true course and distance than by continuing on the line. 



Directions for running lines* 

Many people suppose that a surveyor at the beginning of a 
line, by intuition or some magic art, can set his compass di- 
rectly to the terminating point, whatever obstructions may in- 
tervene, and that he needs no assistance ; but this a mistaken 
idea. In running a line of considerable length, a surveyor 
should have two assistants to carry the chain, and two to car- 
ry flags, in whose ability and correctness he can confide, and 
a fifth to use an axe. If the surveyor is not furnished with 
such a set of assistants, his employer need not place too much 
confidence in his work. The flag staves should be as much 
as two and a half inches in diameter, or what would be better, 

probably means, placing his compass on the same meridian, observing 
the variation, and making alloivance for the change in the direction of 
theneedle, since the preceding survey. — Ed. 

* If the point 5, is on an elevation, it is evident that the lines 4 5, 
and 5 6, will not be the required distances, but will be each a hypothe- 
nuse in a right angled triangle, of which the required distance is the 
base. — Ed. 

t The line 4 3 may be found in the same manner as, CI, page 75, ex. 
11.^^. 68.-ED, 



90 APPENDIX. 

two stripes of a board of that width and seven or eight feet 
in length. If they are not so wide they cannot be seen 
through the sights of the compass at any great distance. On 
one end of each staff, a red flag of a yard in length should be 
wound tight, and not left to hang loose and flutter in the wind. 
Red will be more easily seen through bushes than any colour, 
and the brighter the colour the better. Being thus manned 
and equipped at the beginning of the line, he must set his com- 
pass as near the true line as he can, or, what would be better, 
he may set up one of the flags at the place of beginning, and 
go forward as far as he can have a fair view of the back flag, 
there set his compass on his random line, and send the other 
assistant as far forward as he can conveniently see the flag. 
When each flag is clearly seen through the sights of the com- 
pass, the back flag must be brought up and placed where the 
compass stood. In this manner he must proceed on his ran- 
dom line, taking care each time he sets his compass to turn 
the sights to the back flag. Great care must be taken to keep 
these flags perpendicular ; also the surveyor must keep the 
stafl* and the sights of his compass perpendicular. A little 
leaning of the flags, or turning the sights of the compass 
from a perpendicular, will make a crooked line. In looking 
through the sights of the compass to the flags, the surveyor 
must look as near the ground as he can, and, when practica- 
ble, the flag should be turned down, on account of the danger 
of being leaned when kept up. 

All obstructions, such as bushes, brush, &;c. must be clear- 
ed away. The random hne must be measured, and at con- 
venient distances, perhaps at every twenty rods, stakes must 
be set directly in it. Every stake must be numbered, that 
no mistake may be made in calculating, when they are after- 
wards removed and placed on the true line. If, in the course 
of the random line, the magnetic needle does not traverse as 
at first, or traverse ahke at different places, no regard must 
be paid to it — the two flags must direct the course ; neither 
should the surveyor be turned aside or terrified by the cry of 
either of the parties, you are wrong, you are wrong, (for he 
will most certainly hear it,) but he must continue his random 
line, until turning at right angles, either to the right or to the 
left, as the case may be, he can exactly strike the bound, or 
the point where a bound is to be erected ; there he may 
stop, and measure the distance from that place to the 
bound. Then, havmg the length of the random line, and the 
distance from its termination to the true bound, he has the 
legs of a right angled triangle, the hypothenuse of which 
will be the length of the true line ; also the angle contained 
between the true and the random line must be added to or 



APPENDIX. 91 

subtracted from the course of the random line, (as the case 
may happen,) which will give the course of the true line. 
Suppose the whole length of the random line is 200 rods, and 
the distance from the termination of it to the bound is 90 
links, the calculation for setting the stakes on the true line 
may be made thus : — As the whole distance is to 90 links, so 
is the distance of any stake, to the distance that such stake is 
to be moved. If the stakes are 20 rods apart, the answer is, 
the first stake is to be moved nine links, the second 18 links^ 
and so on, adding 9 links at each stake, until the whole are 
moved at right angles from the random to the true line. Most 
of the crooked lines, and consequent disputes and law-suits 
between farmers have arisen from the want of this care and 
attention. 

When a long line is to be run over a number of ridges and 
through intervening vallies, it should first be run and estab- 
lished from one ridge to another, and the intermediate spaces 
in the vallies may be taken afterward. By taking long sights 
there will be less danger of turning from a straight line. In 
all cases, the forward flag should be carried as far as it can 
be distinctly seen, unless it is at the termination of a line. 

ON KEEPING UP BOUNDS. 

As the magnetic needle cannot be relied on in renewing 
lost boundaries, it is of the first importance that good, substan- 
tial bounds be made and kept up. In divisions, or distribu- 
tions of lands, every surveyor ought to see that such bounds 
are erected. It is his business to see them made, and such 
bounds ought to be described in deeds, or in the instruments 
by which the lands are conveyed, and to be made a part of 
the record. By proper care and attention to this part of the 
business, an almost endless train of disputes maybe prevented. 
Highways are attended with more difficulties of this kind than 
the location of the divisions of real estate. In laying hi o-h- 
ways, it is the custom to lay the centre lines, and order the 
roads to be of a certain width. In taking surveys of roads, 
stakes are usually set at the angles. When the roads are made, 
all these stakes are lost, and the travelling path is often built 
on one side of the centre ; but as the bounds are lost, it is utter- 
ly impossible, after a few years have elapsed, to tell where the 
road was laid. 

Surveyors who are employed on such business ought to 
describe the angles, or as many as is practicable, in such a 
manner that the road may afterwards be found. 



92 APPENDIX. 

THE FOLLOWING SURVEY OF A ROAD MAY SERVE AS AN EX- 
AMPLE. 

Beginning at a point on the centre of an old road, (here 
describe what road,) 14 rods westerly of the range of the 
west end of J. T.'s house, thence running S. 17^ E. 84 rods 
10 links, to a point bearing west, 54 links from the S. W. 
corner of a large rock ; thence S. 5° E. 77^^ rods, to a point 
77 links east of the centre of a large white-oak tree ; thence 
S. 7° 3(V W. 67 rods 20 links, to a point bearing west 7 rods 
10 links, from a perpendicular crevice in a rock. 

Enough of the survey is given for the purpose. 

DIRECTIONS FOR USING THE COMPASS, AND CONCERNING ATTRACTIONS 
OF THE NEEDLE. 

In all cases, the surveyor ought to set his compass at least 
twice on each line, even if he has a fair view of the whole 
length of it. 

When there are local attractions, and no two places are found 
on the same line where the compass has the same traverse, 
the surveyor should take a medium course, and enter it in his 
field book, noting such courses, as he may still have occasion 
to coiTect them in his calculations. If in such cases he is 
at a loss what course to enter in his field book, and suspects 
that some minutes may be added to, or subtracted from the 
course he enters in his book, let him prefix to such courses 
the sign of addition or subtraction as the case may be, and 
this will often assist him in balancing his surveys. 

CONCERNING DRAWING A MAP OF A FIELD. 

When a map is to be made of a multangular piece of land, 
whether a calculation or division is to be made from it, the 
surveyor should measure across the lot in some central place 
at least once, and in more places if convenient, and the case 
may require it. By cross measures, the map will be made 
more correct. The surveyor should not be atraid of wearing 
his chain by measuring too much. When a survey is to be 
calculated by plotting, it should not be laid on a scale less than 
ten rods to an inch. 

REMARKS ON BALANCING A SURVEY. 

In every survey which is accurate, the sum of the north- 
ings will equal that of the southings, and the sum of the east- 
ings, that of the westings ; but this is not always an infallible 
proof that the survey is aocurate, for two errors may be com. 



APPENDIX. 93 

mitted, one exactly to balance the other, which no rule will 
detect ; but such cases do not often occur. In a survey of 
one hundred acres, whatever may be the number of the an- 
gles, the difference between the two columns of latitude and 
those of departure, ought not to exceed a rod for each, but to 
come within these limits if possible. 

If in such a survey either of the differences should exceed 
a rod, where the land is valuable and easily surveyed, it 
would be better to take a re-survey, at least, so far as to de- 
tect the error. 

Some authors have given rules for balancing surveys, 
which are indiscriminately applied to every line in the sur- 
vey, which presupposes that a proportional error must have 
been committed on each and all, both in courses and distan- 
ces, when in almost every survey, a part of the lines are on 
land so level and so clear from obstructions of any kind, that 
if the surveyor and chainmen attend to their business, they will 
not be likely to commit much error on them ; while other 
hnes on other parts of the same survey are attended with so 
many difficulties, that when they have done their best, it will 
scarcely be possible for them to avoid some error, and the 
surveyor who takes the survey will best judge on what lines 
the errors were committed, and whether they are in the cours- 
es or in the distances. In all cases the corrections should 
be made on the lines containing the errors. When the er- 
rors are in the courses they should be corrected, and when 
the errors are in the distances, the correction should be in 
them : or the corrections may be in both courses and dis- 
tances as the surveyor may judge proper. 

When a course is not directly north and south , or east and 
west, if the correction of it increases the latitude and dimin- 
ishes the departure, or if it diminishes the latitude and in- 
creases the departure, so as to bring the differences to an 
even balance, it is good evidence that the course contains 
some error. 



On EECTANOrLAE SUBVEYING, 

Rectangular surveying is a name given to the method here 
treated of, by the late governor Treadwell. 

A more appropriate name could not have been given ; for 
the whole survey is reduced to right angled figures, such as 
triangles, trapezoids, squares, and rectangles. The operation 



APPEM)IX 
from amendian from wii t ralcnlated. 



The caladatioiis are i. lan dravn, eidier 

at die eaateni or atthe v is^i ^ :rziiiTof the m^. All 

the spaces lying betwei 'r'A the mei^ian from 

wliicii tiie sorrey is eaic ^ t en the paraUds erf 

latitiideoftlieiioitliem £: - ri^ies ofit,areiD. 

eluded in the eaknlalici : e are drawn 

from each ai^^ to oie Zii^ncaaiL, p-^dCii ^e called 



In finmmg the colomn <^meiidian distanoes, vfa^i the ; 
ndian is drawn at the eastern estremdty, the westings are ad- 
ded and die eastings are sabtracted. When the nieii£an is 
drawn at the western extrendtj, the eastings are added, and 
the westingiB are sobtracted. 

The meii£an dfetanees |»oeeedi2]g from each end (^ahne, 
are added together, to form the c«dmim oi doobie mean dis- 
mneesyidni^thecniipilerof the mr^oii^ woik has eaDed 
second depaitnre eafamu. 

The wb^e is iDnstiated by die fi^wing figure. SeeF^.2, 



APPENDIX. 



95 



Directions for calculating meridian distances by several me- 
thods ; ALSO for plotting a survey from the several latitudes 
and meridian distances, without the use of the protractor, or 
the line of chords. 



o 


rf) 


-* 


M 


u^ 


Tf 


iO 


•<^ 


•rf* 


r- 


lO 


lo 



o o 
OS CO 

I— I CO 



_U0_ 

CO ^ 



3 IS 



CO M 
r-< CO 
GO -J 

CD GO 
T-i GO 



CO I O) 

GO ' &< ' ^ 

o ,8 

CO 



W H 



25 ^ 

T^ I CM" 



H 



^ 


^ 


^ 


s 


§ 


s 


o 


lo 


s 


M 


1 ai 


02 



I GO I ^ j iC I CO I 



to 
-^ GO 



U5 O I lO 

GO C I GO 
05 CO 



ffjGO 



96 



-\PPEM)IX. 



Fig, 2, 

Mendisn Dis- 
tances, and dou- 
ble mean distan- 
ces,* are more 

proper terms or 
names for the 
eishth. and ninth 
columns, than 
first departure, 
and second de- 
parture. 

The meaning 
of the term me- 
ridian distance, 
is the distance 
made firom any 
meridian. It is 
not Tery essen- 
tial by what 
names the col- 
umns are called, 
as names have no effect on the final result. 

This survey is calculated firom the meridian of the 
station. 

To form the first column, marked at the top Mcrid. Dist. 
^t the easting 16.90, against the first station into the col- 
umn, which is the meridian distance of 2, or the distance firom 
2 to ^ ; to this mmdier add the next easting, and they make 
22.11, the meridian di^ance of 3 ; to this number add the 
next easting; and they make 80.07, the meridian distance of 
4 ; firom this numb^* sabcraet the first westing, and 73.82 
jremains, the mesidian distance of 5 : from this number, sub- 
tiael ihe next wei^iB^ and 70. S3 remains, the meridian dis- 
tance of 6, or the wesdng of the closing hne. Subtract the 
last westingx and OOuOO reoBains. Next, form the column of 
dodUe mean dBsfaaees hy adding two opposite sides of the 
differeiA figures. Set the first Merid. Dist. into the column. 
To the first meridian distance add the second, and they make 
39.01, the double of the figure 2S/«.t To the second, add 




nrst 



APPENDIX- 97 

the third, and they make 102.18, the double of the figure 
64mn. To the third, add the fourth, and they make 153.89, 
the double of the figure 45am. To the fourth add the fifth, 
and they make 144.15, the double of the figure 56az. To 
the fifth add the sixth, and they make 70.33. 

The second column, marked at the top Merid. dist. is com- 
monly called the Pennsylvania method. Only one column is 
used in finding the meridian distances, but the operation and 
final results are the same as when two columns are used. 
This method is not so easily explained to the learner, but is 
perhaps preferable in practice, because an error may be com- 
mitted in forming the column of double mean distances, 
which may not be discovered, but in this method, an error 
cannot be committed without being detected. 

To form this column, set the first easting, 16.90, in the up. 
per place, and add it to itself, and they make 33.80 ; to this 
number, add the next easting, and they make 39.01 ; add the 
same easting again, and they make 44.22; to this number 
add the last easting, and they make 102.18 ; add the same 
easting again, and they make 160.14 ; from this number, sub- 
tract the first westing, and 153.89 remains ; subtract the 
same westing again, and 147*64 remains ; from this number 
subtract the second westing, and 144.15 remains ; subtract 
the same westing again, and 140.66 remains ; from this num. 
ber subtract the last westing, and 70.33 remains ; subtract 
the same westincr aorciin, and 00.00 remains.* 

* The demonstration of this method is not given above : and as it 
may be of assistance to the surveyor in many cases, it is here inserted. 

The first multiplier, (or first number in the column of double mean 
distances,) is the same as in the common mode, because in both cases, 
it is the first easting. This, in the figure, is s2. Now the next multi- 
plier ought to consist of ^2, and n3, added together. The line n2 con- 
sists of the first two eastings. Therefore the second multiplier ought 
to contain twice the first easting, and once the second. By the method 
above, the first easting is doubled, but is not used as a multiplier. But, 
by adding the second easting to this double of the first, the second mul- 
tiplier is obtained, and set down accordingly. 

To this multiplier, if the same (second) easting be added, it will 
make the line s2 equal to ?a3, and the number will then be twice n3, 
which is set down, but not used as a multiplier. The third multiplier 
ought to consist of n3 and m4. The line m4 is greater than the line 
n3, by the third easting, and, of course, the third multiplier ought to 
be twice r?3, together with that easting. To the last number set down, 
then, (which was twice n3), add the third easting, and the third mul- 
tiplier is found. 

To this multiplier, if the same easting be again added, it will in- 
crease the fine ?j3, to m4, and the number will then be twice m4, which 
is set down, but not used as a multiplier. The next multiplier ought 
to consist of m4 and a5. The line a5 is less than m4 by the first west- 

12 



98 APPENDIX. 

The upper numbers in this column are the same as the 
double mean distances which stand against them. 

For the remainder of the process in finding the areas, pro- 
ceed as before taught in this work. 

The north area against the first station is the double of the 
triangle 125 ; that against the second, is the double of the fig- 
ure 2Sns ; that against the third, is the double of the figure 
24:77111 ; the south area against the fourth station, is the double 
of the figure 4Dam ; that against the fifth is the double of the 
figure 5Qza ; that against the sixth, is the double of the tri- 
angle 6U. 

The three north areas all lie without the field, and are 
bounded north on the line ??i4. The three south areas con- 
tain all within, and all w-ithout the field, which is included in 
the calculation. It is obvious then that Avhen the less is sub- 
tracted from the greater, the contents of the field ^nll remain. 

Another column maybe formed as the eleventh in this ex- 
ample, which, for distinction, is here called half departure. 
It contains half the sum of the numbers in the double mean 
column. These numbers when multiplied by their respect- 
ive northings or southings, give the simple areas of the differ- 
ent figures. This method is preferable in practice, as the 
multiplications are greatly diminished. When the last deci- 
mal in the double mean distance is an odd number, a unit 
may be taken off, and take half the remainder, rather than 
annex another decimal : perhaps this would not make the 
difference of a rod in a survey of one hundred acres. Or the 
odd numbers in the last place of decimals may be balanced 
by sometimes adding a unit. If the numbers are diminished 
a trifle, it may be remarked, that, on account of the uneven 

ing, and, of course, the fourth multiplier ought to be twice m4, dimin- 
ished by that westing. From the last number, then, (which was twice 
wi 4, take the first westing, and the remainder will be the fourth multi- 
plier. 

From this "multiplier, the same westing being taken, the line mA 
v.'ill be dimmished to a5, and the number will then be twice a 5, which 
is set down, but not used as a multiplier. The fifth multiplier should 
consist of a5 and s6. The line s6 is less than a5 by the second west- 
ing, and, of course, the fifth multiplier should be twice a5^ diminished 
by that westing. From the last number, then, (which was twice a 5.) 
take the second westing, and the fifth multiplier is found. 

From this multiplier, the same westing being taken, a5 will be di- 
minished to £6, and the number will become twice £6, which is set 
down, but not used as a multiplier. The final multiplier should be z6 
alone, since its area, lz6 is a triangle. The final westing is ^6, which 
taken from the last number, (which was twice ;i6,) leaves s6 for the 
final multiplier. 

A clear understandmg of the theory of this method, will be a greai 
assistance in performing the practical operations.— En. 



APPENDIX. 99 

surfaces, there is danger of making the distances too much, 
rather than falUng short of the true measure. 

To PLOT THE FOREGOING FIELD FROM THE SEVERAL LATI- 
TUDES AND MERIDIAN DISTANCES, WITHOUT THE USE OF THE 
PROTRACTOR, OR THE LINE OF CHORDS. 

First, set the northing of the first line from 1 to 5 ; set the 
northing of the second Hne from s to n; set the northing of 
the third Hne from ntom; set the southing of the fourth line 
from m to a ; set the southing of the fifth line from a to z; 
next, from these points, draw parallels of latitude perpendi- 
cular to the meridian ; then, on these parallels of latitude, set 
the meridian distances of the several stations, from s to 2, 
16.90 ; from n to 3, 22.11 ; from m to 4, 80.07 ; from a to 5, 
73.82 ; from z to 6, 70.33. From one of these last points to 
another, draw the boundary lines of the field, and if the plan 
does not perfectly close, it is because some error was com- 
mitted in the process, or in the field, or the scale was incor- 
rect. In practical surveying, it is next to an impossibility in 
any case, to work so accurately that the survey will exactly 
close without some correction. The difference between the 
two columns of latitude, and the two columns of departure, 
are the legs of a right angled triangle, the hypothenuse of 
which will be the distance which the survey will fail of closing. 

These diflEerences, as before taught in this work, must be 
balanced, and the column of meridian distances must be form- 
ed by the numbers as balanced. When the survey is balan- 
ced, and this method of plotting is taken, the parallels of lati- 
tude must be laid down according to the balancing, and the 
map will perfectly close.* 

When the courses and distances are corrected according 
to the balancing, they will form a survey which will contain 
no error. 

N. B. Great care must bo taken to keep the latitudes par- 
allel and perpendicular to the meridian. The better to effect 
this, a meridian line may be laid on each side of a sheet, or a 

*^ This language is not clear. If it be meant that the sides of the 
field are to be drawn from point to point, as marked on the parallels, 
which is the usual method of plotting from a meridian, one survey will 
close as perfectly as another. But if it be meant, that they are to be 
laid down from these points, according to the courses and distances in 
the field book, then it is "by no means certain that the map will close, 
and, on the other hand, is rather probable that it will not, if, in balan- 
cing, there was any great error to be corrected. It is only after tha 
courses and distances have been corrected from the balanced latitudes 
and departures, that a map plotted as above can be expected to corres- 
pond with them. — £i>. 



100 



APPENDIX. 



half sheet of paper, as occasion may require, and the mea- 
surements made on both sides. 

The following survey is calculated fro3i a meridian 
running through the map ; of course, a part of the me- 
RIDIAN DISTANCES ARE EAST, AND A PART ARE WEST. See 

Fig. 3. 











Fig.Z. 














1 


^ 




m 




7/ 




/-^^^ 














,^^--^^ 


'z \ 




^^ 




^^-^^^^ 




r ^ 


\ 








\ 




i 




— ,•— ^ — - — 


^j- 


n 






\^ 


§ 








^ 




^ 


e 


a: 





no' Courses, ^^f]' 

1 iKOQ 


N. 


js. 

1 


E. 


vv. 




i 




i \ 

1N60°00'E 20.00 
! 


I 
10.00 


17.32 




17.32 
34.64 

54.64 
74.64 


E. 
E. 

E. 
E. 


173.20 




1 
2 S.30 OOE 40.00 

i 


i 

■34.64 

1 


20.00 






1892.73 


3S70 00W70.00 
1 \ 




23. 94 




■^-'■^^^% 


E. 
W 

w 
w 




212.10 


1 
4N3000W40.00 

1 


1 

34.64 




13.46 


-■^p, 




2664.50 


! 
5N.7400E50.42 


I3.9J 




\ 


18.46 
)0.00 


w 




675.53 



173.2015444.86 
173.20 



2)5271. 

A. R. R. 

160)2635(16 1 35 
160 



1035 



APPENDIX. 101 

The column of meridian distances in this example is formed 
by adding twice, or subtracting twice against each station, as 
in the Pennsylvania method. Set the first easting in the up- 
per place, which is the distance from a to 2, being east me- 
ridian distance ; add it to itself, and it makes 34.64 ; to this 
number add the next easting, and they make 54.64, east me- 
ridian distance from a to m ; add the same easting again, and 
they make 74.64 ; from this number subtract the first westing, 
and there remains 8.86 east meridian distance from i to s. 
As the first westing cannot be subtracted again, the last east 
meridian distance, 8.86, must be subtracted from the first 
westing ; this crosses the meridian, and gives 56.92 west me- 
ridian distance in the lower place. Having crossed the me- 
ridian, the westings must now be added, and the eastings 
subtracted. 

To the 56.92 in the lower place, add the last westing, and 
they make 76.92 west meridian distance from r to w ; add the 
same westing again, and they make 96.92 ; from this number, 
subtract the easting of the closing line, and there remains 
48.46 west meridian distance, from -y to 1, or the easting of 
the closing line : subtract again, and 00.00 remains. Hav- 
ing completed the column of meridian distances, next multi- 
ply the upper number against each station, by its northing or 
southing, and set the products on the east side of the meridian, 
in their respective columns of north or south areas ; but on 
the west side of the meridian, the order is reversed ; the 
north products are set in the column of south areas, and the 
south products are set in the column of north areas. The 
north area against the first station, is the figure 2z\a ; the 
south area against the second station is the figure mnia ; the 
south area agamst the third station, is the figure sxie ; the 
south area against the fourth station, is the figure uwer, made 
by the northing of the fourth line ; the south area against the 
last station, is the figure uSrl.* 

* In this survey, the learner, without farther explanation, would be 
liable to meet with some perplexity. This will be particularly the 
case, where the meridian is crossed. In the diagram, the double areas 
are represented in full. The first is a north area \a2z^ which is double 
of the triangle la2. In this, the multiplier is a2. The next multiplier 
should consist of a2 and ?3, which is found by doubling a2, and adding 
to it the next easting. The corresponding area, amni^vn. ay be seen to 
be double of a23i, for if 23nm were to be turned about, and laid on 
a23z, it would exactly cover it. The next step is to add the same 
easting to this multiplier, (viz. a2 added to t3 ;) and as this increases 
the a2 to z'3, the sum is twice i3. 

From this number (twice i%) the first westing is to be taken. If this 
westing extended no farther than the meridian, it would be just i3^ 
and on subtracting this from the twice i3, we should have once i3 lefl. 



102 APPENDIX. 

The foregoing columns of meridian distances might have 
been commenced, by setting the first easting in the lower 
place, and the additions and subtractions, made as before 
directed, and the last subtraction would end in 00.00 at the 
upper place, against the first station. In this case, as there 
would be no upper number against the first station, there 
would be no product in either column of areas against it. 
The east meridian distance against the second station would 
extend no further east than the third station, and the meridian 
distance against the third station, would be on the west side 
of the meridian ; and the meridian distemces, against the 
fourth and fifth stations, would extend as much farther west, 
as the easting of the first line. 

But it goes beyond the meridian, to a distance, e4. The distance e4, 
must therefore be likewise taken away, leaving not once iS, but i3 di- 
minished by e4. In the figure, a distance, 3^, is cut off from i3, equal to 
e4, leaving is, which is what remains after the first westing is subtract- 
ed, and constitutes the next multiplier. This, multiplied by ze, its 
southing, gives the area eisx, which is double of ighs, as will be seen 
from the following. 

35 being equal to 4e, and the triangles 3sh, and 4eg, being similar, co- 
is evidently equal to sh. And 3i being equal to 4a;, and the triangles 
Sig and 4xh, being similar, ig is equal to hx. Then if the figure ighs 
were to be turned about and placed on the figure eghx, it would exactly 
cover it, and of course must be equal to it. The area eisx, then, is 
double of ighs, which is the dilFeronce between the triangles Sig and 
Ssh, or 'ieg. This area, therefore omits the part of the field, Ssh, and 
there is no other area which includes it. But the next area, eruic, in- 
cludes its equal, Aeg, which is not a part of the field, and thus restores 
to the field its full contents. 

The reason why the south areas, after 
crossing the meridian, are written in the 
north column, and north, in the south 
column, is made clearer by the following 
illustration, than by any other method. ^ 
Suppose that the part of the above dia- 
gram, 1, 5, 4, 0-, be made to revolve about 
g as a hinge, until the point 1, is directly ^ 
south of 0-, and the line Ig forms a straight ^ 
line with ga ; as in this figure. The 
areas in the figure ^§'451, being brought 
on the east side of the meridian, now be- 7"" 
come south, and must, of course, be pla- 
ced in the south area column. But before 
the revolution, the same areas, being on 
the west of the meridian, were north. 
Hence, when a survey is calculated from 
^ meridian passing through the field, north areas on the west side must 
be treated like south areas on the east, and vice versa. It will be ob- 
served, that, after the revolution, instead of the area eisx, we have the 
area eis'x'-, which may easily be shown to be equal to the former. — Ed. 




APPENDIX. 103 

The products against the second, fourth and fifth stations, 
would be set in the cohimn of south areas, and that against 
the third station, on account of its being on the west side of 
the meridian, would be placed in the column of north areas, 
and would be subtracted from the footmg of the south areas. 

When a survey is calculated from a meridian runnmg 
through the map, it is always best to set the first departure 
in the lower place, as it saves one multiplication. 



On distributing estates, 

A farm is to be distributed among a number of heirs. A 
survey is made, and the difference, between the columns of la- 
titude, and between those of departure, is two rods for each. 
The survey is balanced, and calculated arithmetically, and is 
found to contain two hundred acres. The surveyor next 
.draws his map, by which the divisions are to be made, ac- 
cording to the courses and distances. The plan does not 
close by nearly two rods and three quarters. He next cor- 
rects the lines, and makes the map close as well as he can ; 
and when the divisions are made, they may not agree with 
the first calculation, by two or three acres, or more. Should 
the map be drawn as before directed, by the meridian distan- 
ces and the latitudes as balanced, it would close, and would be 
in exact conformity to the calculation made arithmetically. 
If the divisions are made arithmetically, without the use of 
the scale and dividers, the calculations must be made accord- 
ing to the balancing, or the divisions will not agree with the 
first calculation. 

It will be acknowledged by every experienced surveyor, 
that it is a difficult matter to make the amount of a considera- 
ble number of divisions agree with the whole, when calcula- 
ted by itself. 

It is the common practice in distributions, to make the di- 
visions with scale and dividers ; this method will answer well 
provided the map is drawn on a large scale. 

The following is a useful rule in dividing lands, when any 
quantity is to be added to, or taken from, a division in the form 
of a triangle. 

Having the area, the contained angle, and one side of a 
triangle given, to find the adjoining side, including the an- 
gle. 



104 APPENDIX. 

Rule. 

To the sine of the given angle, or of its supplement if obtuse, 
add the logarithm of the given sida; subtract radius from this 
sum, and subtract the remainder from the logarithm of the 
double area, the last remainder will be the logarithm of the 
side required.* 

In taking a survey, go around with the sun, not that you 
can work more correctly, or that it will have any effect in 
calculating, but when you put your courses and distances on 
your map they will follow around from the left to the right, 
and thus render the plotting easier. 

Wherever you begin, set your compass on the angle and 
cause a stake or a flag-staff to be erected at the next. When 
your line runs over a hill, cause a stake to be erected at each 
end of it, and take your station on the top of the hill, directly 
between them. If bushes obstruct the sight, make an offset, 
or set your compass a little distance from the line, from 
whence you may see the back flag, and cause the forward flag 
or stake to be set opposite the bound in a direction with the 
compass and the back flag. When the line is measured, 
measure the distance from the flag to the bound, and calcu- 
late your true course by trigonometry. If your next line is 
of such a distance that you cannot see through the whole 
length of it, run as near the true line as you can, and if you 
do not exactly strike the bound, measure the distance from 
the termination of 3'our random line, and calculate your 
course as before directed, or if you can discover a tree stand- 
ing near the termination of yoiir line, take the course and dis- 
tance to that, thence to the bound, and calculate your true 
course and distance. 

By practice and experience, a method for taking courses 
will soon become familiar, in all cases. In measuring hills 
and inclined surfaces, the horizontal distances must be taken. 
A plummet should be suspended from the end of the chain, 
when it is levelled. Where hills are very steep, the survey- 
or should assist the chainmen, and when the best is done in 
levelling and plumbing the chain, judgment must frequently 
be called into exercise. Even when rises and descents are 
easy, there is danger of making too much measure. In such 
cases, chainmen often make allowances, but the surveyor 
would do better to keep them to close measure, and from the 
shape of the ground judge himself what allowances ought to 
be made. If he is experienced in his business, he will form 
a more correct judgment than inexperienced chainmen. Par. 
ticular care must be taken that the chain is carried on a 

♦ This is a repetition of the rule on page 78.— Ed. 



APPENDIX. 105 

straight line, and that it is well straightened. When B. tally 
is ended, and the hinder chainmen brings up the sticks, they 
must be counted. 

When on counting the sticks it is discovered that one is 
lost, the chainmen should not leave the chain and go back to 
find it, but, from the last mark, should measure back to the 
point where the tally began, to see whether one chain is lost 
from their measure.* Many blunders in this way have been 
left undetected by not taking this care. 

A careful accurate chainman never lost a stick or mis- 
counted a tally. Young surveyors should practice much for 
their own instruction, and should make correct practice fa- 
miliar before they offer their services. It is as necessary that 
they should spend some time in acquiring a practical knowl- 
edge, as it is that they should spend any time in acquiring a 
knowledge of theory. 

A young surveyor should bear in mind that if he is detected 
in one error in the beginning of his practice, it will be more to 
his disadvantage than to be detected in two when he shall be 
well established. If an error is committed in a survey, it is 
not against the surveyor provided he detects and corrects it, 
but if he cannot detect and correct his own errors, that is suf- 
ficient evidence of his deficiency in point of knowledge and 
skill. 



1. 


N. 


250 


00' 


2. 


N. 


10 


00 


3. 


N. 


75 


00 


4. 


S. 


10 


00 


5. 


s. 


5 


00 


6. 


s. 


85 


05 



Form of a field book. 

Beginning at a merestone at the southwest corner. 
Rods Links 

E. 40 00 to a white-oak tree, 
E. 30 00 to a heap of stones, 
E. 60 00 to a maple tree, 
W. 36 00 to a pine tree, 
W. 40 00 to a spruce tree, 
W. 70 12 to the place of beginning. 
When a survey is calculated by chains and links, the num- 
bers are less than when it is calculated by rods and decimal 
parts. Every method by which the numbers are diminished 
is an improvement. In a hilly country, the two-pole chain is 
preferable and is more commonly used, because it can be 
levelled better. 

Hills are often found so steep that even the two pole chain 
cannot be levelled. 

* Or to see whether the backward measurement brings them, with 
the sticks they have, to the place where the tally commenced. — Ed. 

K 



106 APPENDIX. 

MlSCELLA^TJOUS. 

When a survey is calculated by chains and links, and the 
contents stand in acres and decimal parts of an acre, it may 
be multiplied by the price of an acre, and the product will be 
the amount. 

Example. 

A piece of land, 12 chains and 25 links m length, and 10 
chains and 25 links in breadth, is sold for 820 25, per acre ; 
— what is the price of it ? 

Length 12.25 
Breadth 10.25 



6125 
2450 
1225 

Acres and decimal parts 12.55625 
Price of an acre 20.25 



627S125 
2511250 
2511250 



N. 44 W. 

s. rv E. 

S. 25 E. 



Answer 8254,26.40625 

The wTiter know^s not w^ho invented the following rules for 
finding contained angles. For plainness, they are not ex- 
ceeded.* 

N fi2= F ) When the first letters are alike, and the two 
^T* A A T»T* > last are unlike, add the degrees of both conrses 

^ together, which gives the contained angle. 

\ When the two first and the two last letters are 

V alike, subtract one course from the other, and 

J the remainder will be the contained angle. 

"J When the two first letters are unlike, and the 
N. 64° E. ! two last alike, add both courses together, and 
S. 35 E. j subtract their sum from ISO. the remainder will 

J be the contained angle. 

^ When the two first and the two last letters 
N. 57° W. ! are unlike, subtract one course from the other, 
S. 25 E. j the remainder from 180, and the remainder will 

J be the contained angle. 

* These rules are nothing drSerent in principle, from the common 
rules, ^ao-e 50, and, in their practical application, by no means as sim- 
ple. To one who understands the theory of the common rules, they are 
the most simple, which can be invented ; and to one who does not, 
the rules above will be still more difficult of comprehension. — The re- 



APPENDIX. 



107 



Application of the above rules. 

Two courses are given, viz. N. 67^ W. and 28° E. to find 
the angle. — Suppose yourself standing at the point where 
these courses meet. Reverse the letters of the first course, 
and they will stand thus, 

S. 67° E. > The third rule apphes in 
N. 28 E. \ this case. 
When the quantity of any angle in a survey is wanted, the 
preceding course must be reversed ; then both courses will 
run from the same point. 

versing of the letters of the first course is troublesome and perplexing. 
Perhaps, however, for practical men, the common rules may be improv- 
ed in some degree, by expressing them as follows. 

I. If the first letters are alike, and the last also, add thb 

LESS course to the SUPPLEMENT OF THE GREATER. 

II. If THE FIRST LETTERS ARE ALIKE, AND THE LAST UNLIKE, SUBTRACT 
THE SUM OF THE COURSES FROM 180°. 

III. If THE FIRST LETTERS ARE UNLIKE, AND THE LAST ALIKE, ADD 
THE COURSES. 

IV. If THE FIRST LETTERS ARE UNLIKE, AND THE LAST ALSO, SUB- 
TRACT THE LESS COURSE FROM THE GREATER. 

In employing these rules, the letters may be taken as they stand in 
the FIELD BOOK. A sct of figures like the following well fixed in the 
mind, will be a great assistance to the learner. 

Rule I. Rule IL 



N. 20° E. 
N. 70 E. 



N. 50^ E. 
N. 40 W. 





108 



APPENDIX. 



CONVERGING OF MERIDIA.NS. 

The length of a degree of longitude in any parallel of lati- 
tude is to the length of a degree upon the equator, as the 
co-sine of that latitude is to radius. 

R. : 60 miles* : : co-sine of the lat. : the length of a degree 
on that lat. 



Rule III. 



Rule IV 



N. 259. E. 
S. 60 E. 




N. 82= E. 
S. 35 W. 



Tsri 




It will be seen that the required angle, in each case, is ABC. A set 
of figures of this kind, once fully understood, and fixed in the memory, 
will be the best means of rendering this subject simple. We recom- 
mend to all learners, to study the above with attention. — Ed. 



"^ This proportion is for geographical miles or minutes of a great cir- 
cle of tlie earth. Of course, to the practical man, it is of little use. 
For statute miles we should employ, instead of 60, the number of sta- 
tute miles in a degree. This number has been commonly laid down 
at 69i. This estimate is, however, undoubtedly too great. It is, not- 
withstanding, difficult to assign the true length of a degree, when our 
measures themselves are liable to change. Until some universal and 
permanent standard of length shall be adopted throughout the country, 
we shall hardly be able to speak with much certainty on this subject. 
The ten millionth of a quadrant of a meridian of the earth has been 
adopted for a standard in France. In England, and of late years in 
the state New York, the pendulum has been made the regulator of 
measures of length. 

In modern English measure, a degree is but little more than 692^ 
miles, acccording to the measurements most relied on. 

When it is recollected that between the various measurements, which 
have been made, of degrees on the earth's surface, there have been re- 
markable differences ; that in different parts of the w^orld, the degrees 
vary in length, increasing always from the equator to the poles ; and 
that a very trifling variation in smaller measures, as a foot, or yard, 
may become very perceptible in a distance of 60 or 70 miles, the diffi- 
culty of assigning the length of a degree accurately, will be perceived. 



APPENDIX. 



109 



As radius 

Is to 60 miles, 

So is co-sine lat. 



To 30 miles 



10.000000 
1.778151 
9.698970 

11.477121 

10.000000 

1.477121 



d,: 




CL 



\h 



the size of your 
Through h, the 



TO CHANGE A MAP PROM ONE SCALE TO ANOTHER.'*' 

Fig. 4. 

Suppose the map to be 
ABCD. It is desired to 
draw a larger map of the „-''' 

same field, without the 
necessity of plotting a- 
gain. Take any point 
within the field, as E. 
From this point draw lines 
of indefinite length thro' 
all the angles of the field, 
A, B, C, and D. Take 
Ea of such a length that 
EA : Ea may express 
the ratio, in which you wish to increase 
map. Through a draw ah, parallel to AB. 
point where ah intersects EB extended, draw he, parallel to 
BC. Through c, the point where he intersects EC extended, 
draw cd parallel to CD. Through d, the point where cd in- 
tersects CD extended, draw da, parallel to DA. The line da 
will intersect EA extended, at the starting point, and abed 
will be the enlarged map. 

If it be required to draw a map smaller than the given one, 
the point a may be taken within the field, and the process will 
be similar. 

If the plot, which it is desired to enlarge, be near one side 
of the sheet, so that it cannot be extended in that direction, 

At present, it is most generally considered about 69j miles. Consid- 
ering it as such, the proportion above, will become, 

R« ; 691 miles : : co-sin. lat. : length of deg. in that lat. 

If, then, the latitude be 60°, as above, the length of a a degree will 
be 34f miles. — Ed. 

* This and the following problems are not contained in previous edi- 
tions. — Ed. 

K3 



no 



APPENDIX. 



the point E may be taken in one side or an^le. And -ene- 
rallv, it may be observed, that the nearer tiie point E is ta. 
ken to one side of the map, the less will the enlarcred plot ex- 
rend in that direction. Thus, in the figure, E is nearest the 
side AB, and the map extends least onthat side. 



To FXXD T3.Z AREA OF a FIELD &E03(EETBICALLY. ET EUDF- 
CiyG IT TO A TELLXGLE. 

Fi£. 5. 




In many cases it is convenient to be able to make an esti- 
mate of the quantity of land in a field, "^th tolerable accuracy, 
but without the trouble of a tedious computation. In such 
instances, the plot may ofken be reduced, -ith : rvantage, to a 
triangle. 

Let ABCDEF be the field. I observ-e a re-en-erins angle, 
on the north side, viz. CDE. If I join CE, the plot will con- 
tain too much, by the triangle CDE. If I, then, cut ofi" a por- 
tion, equal to CDE, the proper quantity will be left. I draw 
DG, parallel to EC, and join EG. Since DG is parallel to 
EC, the height of the triangle EGC, is equal to the height of 
the triangle CDE. And as they stand on the same base, 
EC, EGC is equal to CDE ; for the area of each is found by 
multiplying half the bass into the height. Taking awar 
EGC, then, there is left the figure ABGEF, equal to the ori- 
ginal plot, but having one side less. Thus the side EG has 
been subsrituted for the two sides, ED, DC. 

In like manner, by joining EB, and drawing a hne fromG 
to H, parallel to EB, I may substitute EH for the two sides 
EG, GB. In like manner, also, by joining EA, and drawing 



APPENDIX. Ill 

a parallel, FK, I may substitute EK, for EF, FA. The plot 
has now become a triangle, KEH, whose area may be found 
geometrically, by moB. IX. rule I. p. 40. It will not be ne- 
cessary actually to draw the parallels. Let a rule be laid 
across E to A, for instance, and placing one foot of the divi- 
ders in F, let the other just touch the edge of the rule. With 
this distance, describe small arcs from E and A, and laying 
the rule across, so as just to touch them, mark the point K, 
where it crosses BA, extended. 



MISCELLANEOUS QUESTIONS. 

1. At a certain point I took the elevation of a tower S^ 15'^ 
— then measured toward the tower on an angle of depression 
7° 333 feet to a level with the base of the tower, when I took 
the elevation again, 8°. — Required the height of the tower and 
the distance from the second place of observation to the base ; 
also how much higher the land was at the place of the first 
observation, than at the second. 

Ans. — Height, 99.6feet. 

Distance required, 708.0 feet. 

Difference in the height of land 40.58/ee^ 

2. Two persons made observations on the altitude of a me- 
teor, both being on the same side of it, and in a vertical plane 
passing through it. The distance between their stations was 
200 rods, and at one the angle of elevation was 36° 25', at 
the other 32° 50', and at the last the disk of the meteor 
subtended an angle of 2'. — Required the distance from the 
last place of observation, also the height and diameter of it. 

M. Q. R. 
Answer.— The distance 5 3 60 
Height 3 70 

Diameter 18 feet 2 inches. 

3. From the top of a steeple 165 feet high, the angle of 
depression of the nearest bank of a river is 11° 15', that of 
the opposite bank is 6° 15'. Required the width of the rivear. 

Ans. 41.13 j'ods. 

4. What length of cart-tire will it take to band a wheel 5 
feet in diameter ? Ans. 15 feet 8^ inches. 

5. A gentleman laid out a garden in a circle, containing 
one acre, one quarter, and one rod, with a gravelled walk on 
the outer side of it within the circle, which took up twelve 
rods of ground. What is the diameter of the circle, and what 
is the width of the walk ? 

Ans. the diameter 16 rods. — Width of the walk 4 feet. 



112 APPENDIX. 

6. Neptune laid out 1,000 square miles of the surface of the 
sea in a circle, and sold to -^olus all that part of it which lies 
without a concentric circle of one third of the diameter. 
What is the diameter, and how much was sold ? 

Ans. The diameter 85.68 miles. The quantity sold 88^.^2 
square miles. 

7. A farmer laid out an elliptical orchard, the longest dia- 
meter of which was 30 rods, and the shortest was 20 rods, 
and surrounded the same with a wall two feet thick, within 
the figure. What is the quantity within the wall, and how 
much is covered by it 1* 

A. Q. R. 
Ans. Within the wall 2 3 22 

Covered by the wall 9.3 

8. From a point in an equilateral triangle, I measured the 
distances to each corner, and found them 20, 29, and 30 rods. 
Required the area and the length of the sides, f 

A. Q. R. 

Ans, The area 5 1 33 

Length of each side 45 

9. Required the dimensions of a rectangle containing 
one acre and a half, bounded by 64 rods of fence. 

Ans. 12 by 20 rods. 

10. The area of a rectangle is five acres one quarter 
and thirty-five rods, and the diagonal is forty-three rods. 
Required the length of the sides. Ans. So by 2d rods. 

11. Required the dimensions of a rectangle containing 
twenty-six acres, one quarter and twenty -four rods, when the 
length exceeds the breadth by fifty-two rods. 

Ans. 44 by 96 rods. 

12. Required the dimensions of a rectangle containing 
250 acres-, when the sides are in the proportion of 7 to 3. 

Ans. iSO.93 by 305^. 

13. The state of Connecticut contains a little upwards of 
4,828 square miles, or 3,090,000 acres, including rivers, har- 
bours, creeks, roads, &c. : if this quantity of land is laid in a 
sauarCj what will be the length of each side ? 

M. Q. R. 
Ans. 69 1 75.11 

* In finding the area of an ellipse, the product of the two axes, (that 
is, of the longest and shortest diameters,) must be multiplied by the 
same number, by which the square of the diameter is multiplied, to find 
the area of a circje, viz. 0.7854. — Ed. 

t This may be solved geometrically. 



LOGARITHMS. 
liOGARITHMS. 



Let there be a series of numbers, increasing by a common difference, 
as for instance, by 1, viz. 

0, 1, 2, 3, 4, 5, 6, &c. 

and another, viz. 1, 10, 100, 1,000, 10,000, 100,000, 1,000,000, &c. 
increasing by a common multiplier, 10. The former are the loga- 
rithms of the latter. 

It will be seeu that 1 is added in the upper series, as often as 10 is 
made a multiplier in the lower. If two logarithms, then, be added, and 
the numbers below them multiplied, the sum of ike logarithms will be 
the logarithm of the product. 

Thus, if the logs. 1 and 2 be added, and the corresponding numbers, 
10 and 100 be multiphed, the sum will be 3, and the product 1,000. 
These numbers may be seen to correspond to each other, in the two 
series above ; there, 3 stands over 1,000, and is, of coarse, its logarithm. 
So, if 2 and 4 be added, and 100 and 10,000 multiplied, the sum will be 
6, and the product, 1,000,000, which may be likewise seen above to 
correspond. 

Furthermore, if, from a greater logarithm a less be taken, and, at the 
same time, the number corresponding to the greater be divided by the 
number corresponding to the less, the remainder will be the logarithm 
of the quotient. 

Thus, if from the log. 5, the log. 3 be subtracted, and, at the same 
time, 100,000, the number corresponding to 5, be divided by 1,000, the 
number corresponding to 3, the remainder will be 2, and the quotient 
100, which may be seen above to correspond to each other. 

With a set of logarithms, then, calculated, not merely for the num- 
bers 10, 100, 1000, (fee, but for all numbers whatever, it is plain that we 
might perform the operations of multiplication and division, by addi- 
tion and s'db traction only. Such logarithms are calculated and arran- 
ged in tables for use. 

By observing the two ranks of numbers at the head of this article, it 
will be perceived, that the logarithms increase by a constant addition, 
(of 1,) and the corresponding numbers by a constant multiplication, 
(by 10,) ; and therefore, that when the logarithms are in arithmetical 
progression, the numbers are in geometrical progression. On this ac- 
count, logarithms have been defined to be a series of numbers in arith- 
metical progression, corresponding to another series in geometrical pro- 
gression. 

But it will be seen that the numbers, 10, 100, 1,000, 10,000, &c. are 
the first, second, third, fourth, &;c. powers of 10, and that their corres- 
ponding logarithms, 1, 2, 3, 4, &;c. are the indices of these powers. 
Hence a better definition is, 

Logarithms of numbers are the indices, expressing the powers 
TO which a given number must be raised, to produce those num- 
bers. 

This " given number" is called the radix, or base, of the system, and 
may be any number whatever. The number 10, however, is most con- 
venient, and is therefore employed in the common tables. 



2 LOGARITHMS. 

The logarithm of 1 is 0, and that of le is 1. Hence it is evident, 
that, for numbers between 1 and 10, the logarithm will be between 
and I. Of course, it will be a fraction ; and, when placed ia the tables, 
it is expressed by a decimal. For numbers between 10 and 100, the 
logarithm is between 1 and 2 ; for numbers from 100 to 1,000, between 
2 and 3 ; from 1,000 to 10,000, between 3 and 4, and so on, consisting, 
of course, in each case, in part of a whole number, and in part of a de- 
cimal. From the above, it will be sufficiently evident, that 

The integral (or whole number) part of ant logarithm, is a 

UXIT LESS THA>- the NUMBER OF INTEGRAL PLACES IN THE CORRES- 
PONDI>-G NUMBER. Or, IT SHOWS HOW FAR THE HIGHEST FIGURE OF 
THE NUMBER IS DISTANT FROM THE UNITs' PLACE. 



For example, - 








The log. of 


5,799 


is 


3.763353 




577.9 


is 


2.763353 




37.99 


is 


1.763353 




5.799 


is 


0.763353 



The INTEGRAL PART OF A LOGARITHM IS CALLED THE INDEX, OR 
CHARACTERISTIC, OF THAT L0GARITH3I. 

As this characteristic is always a unit less than the number of inte- 
gral places in the corresponding number, it is evidentthat when this num- 
ber has but one integral place, the characteristic will be ; which is the 
case with the last log. above. If, then, the number be a proper frac- 
tion, or a decimal, and have, therefore, no integral place, or places, the 
characteristic of the log. on this principle, ought to heless than nothing. 
Now, since we cannot diminish nothing., so as to render it less than no- 
thing., we employ, whenever it is necessary to use logarithms of this 
kind, a characteristic with a mark over it, thus, y, 2^, -3, j. &c. The 
mark shows that the characteristic ought to be less than nothing, and 
the number, over which it is drawn, informs us, how much it should be 
less than nothing. In all cases, then, where it is necessary to add the 
logarithm^ we must subtract this characteristic ; and in all cases where 
it is necessary to subtract the logarithm, we must add the characteristic. 
For, since adding nothing to a number does not alter it, adding less than 
nothing ought to diminish it. And, since subtracting nothing from a 
number does not alter it, subtracting Ze^5 than nothing ou^t to increase 
it.* 

It will be seen above, that for every division of the number by 10, 
(or, every removal of its decimal point towards the left) the character- 
istic becomes a unit less. 

* An apology may, perhaps be considered necesoary for the language 
here employed. The writer would not be thought to advocate the ab- 
surdity that a number may actually be less than nothing ; but the 
phrase is so concise and expressive, and notwithstanding its absurdity, 
conveys to the mind of one unacquainted with the nature of negative 
quantities, the idea intended, so much more perfectly, than any expla- 
nation we should here have room to make, could do, that it has been 
thought advisable to employ it. This treatise is intended for practical 
men, and not for metaphysicians nor scholars. To those who have at- 
tended to Algebra, the explanation above will be unnecessary. 



LOGARITHMS. 3 

Since, then, the log. of 5.799 is 0.763353, 

the log. of .5799 will bo t.763353, 

of .05799 " 2''^63353, 

of .005799 " 3.763353, 

of .0005799 " 4-763353, &e. 

By observing these logarithms, it will be seen, that 

The negative characteristic of a logarithm, shows how far 

THE FIRST significant FIGURE OF ITS CORRESPONDING DECIMAL IS DIS- 
TANT FROM THE units' PLACE. 



EXPLANATION OF THE TABLE. 

When the logarithms of numbers, from 1 upward to any other given 
number, are calculated, and arranged in a table, they constitute a table 
of logarithms. Tables of logarithms of great extent have been calcu- 
lated, but those in common use extend to numbers no higher than 
10,000. This is far enough for the purposes of ordinarj'- calculation. 

In the first column on the left of each page, are arranged the natural 
numbers, and to distinguish this column from the others, the letter N 
is placed over it. Opposite these numbers in the next ten columns, are 
arranged the logarithms. For the first 100 numbers, however, on the 
first page of the table, there is but a single rov/ of logarithms, opposite 
each column of numbers, and there are four rows of numbers on the 
page. 

TO FIND THE LOGARITHM OF ANY WHOLE NUMBER. 

If the number be less than 100, look for it in the column headed N, 
and directly opposite to it, in the column headed Log. will be found 
its logarithm. 

If the number be greater than 100, but less than 1,000, find it as before, 
in the column headed N, and directly opposite, in the column headed 0, 
will be found its logarithm. It will be seen, that when the first two 
figures of several successive logarithms are alike, they are omitted in 
the table, after having been once inserted, and only four figures are 
retained. When, therefore, there are but four figures in the logarithm 
opposite the given number, cast the eye up the blank till you find two 
more, which prefix to those already found. It will likewise be observ-* 
ed, that for the logarithms of numbers above 100, no characteristic is 
inserted in the table. But this may easily be supplied, since it is al- 
ways a unit less than the integral places in the number. For numbers 
between 100 and 1,000, then, it is 2. 

Find the logarithm of 868. Opposite this number in the table, are 
found the figures 8520. Casting the eye up the blank we meet with 
93, which we prefix to 8520, making 938520. The characteristic, 2, 
being then prefixed, we have the complete logarithm, 2.938520. 

If the number be greater than 1,000, and less than 10,000, find the first 
three figures in the column, headed N, and the fourth at the head of the 
page. Then, exactly opposite the first three, and in the column headed 
by the fourth, will be found the last four figures of the required loga- 
rithm. To these must be prefixed two others^ found as above, in the 
column headed 0. 

That is, if the logarithm on the same line^ in the coluran headed 0, 



4 LOGARITHMS. 

contain six figures, the first two of those must be prefixed. If not, cast 
the eye up the blank, in search of the proper ones, as before. 

There is one exception to this rule. In some logarithms, will be seen 
points or periods occupying the places of figures. When this is the 
case, ciphers must be written in place of the points, and the tico figures 
to be prefixed, must be sought in the next lower line^ in the column^ headed 
0. Thus, 

Find the log. of 4,177. Opposite 417, and in the column headed 7, 
are found the figures 0864. The opposite log. in the column headed 0, 
has six figures, of which the first two, viz. 62, are to be prefixed to 0864, 
making 620864. Tlie characteristic being joined, the log. is 3.620864. 
For 4.143, we find opposite 414, and under 3, the figtires 7315. Here 
we must look along up the blank in the column, headed 0. for the two 
figures to be prefixed, which are 61, making the log. 617315, which, 
with its characteristic, is 3.617315. For 4,366, we find opposite 436, 
and under 6. the figures . . 84. Here, therefore, we must write ciphers 
for the periods, thus, 0084, and look in the next lovrer line of the col- 
umn headed 0. for the two figures to be prefixed : which are 64, mak- 
ing the log. 640084, which, with its characteristic, is 3.640Ci84, 

If the number exceed 10,000, find the logarithm of the first four figures 
as above. By the remaining figures, multiply the number opposite, in 
the column headed D ; from the right of the product, reject as many 
figures as the given number has places more than four, and add what is 
left to the logarithm previously found. This sum will be the log. 
required. 

The column, marked D, is a column of difierences : that is, it contains 
the difierences between each two successive logarithms. In many cases 
a mental estimate may be made, of what should be added to a log. 
without the use of this column.* 

The logarithms of pure or mixed decimal numbers should be taken 
out as if for whole numbers, care being taken to prefix the proper 
characteristic, in each case. 

Of vulgar fractions the logs, may be found by reducing them first to 
decimals, or by the rule given below, in division. 

TO FIND THE NUMBER, CORRESPOXDING TO AXT GIVEX LOGARITHM. 

Find the logarithm next less than that given, in the column headed ; 
pass the eye to the right, along that horizontal line, into the other col- 
umns, and you will firid either the log. given, or one very near it ; the 
first three figures of the corresponding number will then be found op- 
posite, in the column headed N, and the fourth figure, directly over the 
log. at the top of the page. The integral places in this number wiU be 
determined by the characteristic of the log. If this characteristic be 3, 
aU the places will be integral ; if it be 2, one decimal must be pointed 
off"; if it be 1. two decimals, Szc. On the other hand, if it be 4, a cipher 
must be annexed to the number ; if it be 6, two ciphers must be an- 
nexed, and so on. 

When the given log. cannot be found in the table, however, the num- 
ber may be more accurately obtained by the following process. Find 
in the table the next less log., and take the difference between it and 
the given one. Make this diff'erence the numerator of a fi-action, and 
the number opposite in the column headed D, the denominator ; re- 
duce this fraction to a decimal, which write immediately after the four 
figures corresponding to the tabular log. used. Afterwards place the 
decimal point where the characteristic of the given log. may require. 
Thus, find the number corresponding to 2.954921. The next less tabu- 



LOGARITHMS. 5 

kr log. is .954918, and the difFerence 3. Making this difference the 
numerator, and 48, the opposite number in the column headed D, the 
denominator of a fraction, we have JL. This, reduced to a deci- 

' 4 8 

mal, gives .0625, which, annexed to 9014, the number corresponding to 
.954918, makes 90140625. Pointing off according to the given char- 
acteristic, we have 901.40625, the number required. 

Allowance may often be made in the mind, without the trouble of 
calculation. 



MULTIPLICATION BY LOGARITHMS. 

From the nature of logarithms, as above explained, the reason of the 
following rule will be obvious. 

Take from the table the logarithms of the lumbers to be 

MULTIPLIED, AJND ADD THEM TOGETHER. ThEIR SUJI WILL BE THE LOG- 
ARITHM OF THE PRODUCT. 

EXAMPLES. 

1. Multiply 29.15 by 9.4635. 

Log. 29.15=1.464639 
Log. 9.4635=0.976052 



Product, 275.86139-f =2.440691, sum. 
When there are negative characteristics, it is best to neglect them 
entirely in the addition, and afterwards diminish the resulting charac- 
teristic by their amount. Thus, 

2. Multiply 71.32 by .3205. 

Log. 71.32=1.853211 
Log. .3205=T.505828 



Sum, neglecting i =2.359039 
Log. prod. 22.858=1.359039 



INVOLUTION BY LOGARITHMS. 

A number is involved by multiplying it one or more times into it- 
self. But a number is multiplied by itself, by adding its log. to itself; 
that is, a number is raised to the second power, by multiplying its log. 
by 2. In like manner, a number is raised to the third power, by mul- 
tiplying its log. by 3, and so on. Hence, to perform involution by loga- 
rithms, 

Multiply the logarithm of the number to be involved, by the 

INDEX OF the power. ThE PRODUCT WILL BE THE LOGARITHM OF THE 
POWER. 

EXAMPLES. 

1. Involve 2 to the twelfth power. 

Log. 2=0.301030 
Multiply hy 12, index, 12 



Power, 4,096=3.612360 

L 



LOGARITHMS. 

2. Livolve .00003 to the 9th power. 
Log. .00003=5.477121 
Multiply by 9, index, 9 



Log. power=^T.294089. Therefore the power is 
,000000000000000000000000000000000000000019683. Herejhere were 
4 to carry, which made the negative product, 45, equal to •* i . 



DrV^ISION BY LOGARITHMS. 

To divide one number by another, 

Subtract the logarithm of the divisor from that of the divi- 
dend. The remainder will be the logarithm of the aUOTIENT. 

EXAMPLES. 

1. Divide 15,625 by 625. 

Los. 15,625=4.193820 
Log. 625=2.795880 



Quotient, 25=1.397940 
Li case the characteristic of the divisor is negative, it must be ad- 
ded, instead of being subtracted. Thus, 
2. Divide 339 by 0.0807. 

Log. 339=2.530200 
Log. .0807=2.906374 

Quotient, 4,201^ nearly=3.623326 

In case the characteristic of the dividend is negative, or is less than 
that of the divisor, it is best to increase it by a number, which will make 
it so great, that the divisor may be taken from it. After the process of 
subtraction, the same number should be taken away from the resulting 
characteristic. The best number for this purpose is 10, or some even 
number of tens. Thus, 
3. Divide 77 by 111. 

Log. 77=1.886491 ; increased by 10=11.886491 
Log. 111= 2.045323 

Difference, 9.841168 

Quotient, .6937= 1.841168 

This gives us the mea^s of finding the log. of a vulgar fraction; 
since a fraction merely indicates the division of its numerator by its 
denominator. The rule seems to be : 

Take the log. of the denominator from that of the numera- 
tor : THE REMAINDER IS THE LOG. OF THE FRACTION. 

4. Find the log. of f 4. 

L02. 25^1.397940; increased by 10=11.397940 
Log. 47= 1.672098 

Difference, 9.725842 

Logarithm required » .725842 



LOGARITHMS. 7 

\ 

EVOLUTION BY LOGARITHMS. 

As evolution is the opposite of involution, its rule must of course be, 
Divide the log. of the given number, by the number expressing 

THE root to be found. 

EXAMPLE. 

Find the 10th root of 59,049. 

Log. 59,049=4.771213 
Divide by 10=0.477121 
Root=3. 
In the extraction of roots, logarithms will often be found extremely 
useful. 



PROPORTION BY LOGARITHMS. 

Add together the logs, of the second and third terms, and from 

THE SUM SUBTRACT THE LOG. OF THE FIRST. ThE REMAINDER WILL BE 
THF LOG. OF THE FOURTH TERM REQUIRED. 

EXAMPLE. 

If 23 lbs. of sugar cost |2.76, what cost 250 lbs. .' 

Statement. 23 lbs. : 250 lbs. : : $2.16 : $ *** 
Log. 250=2.397940 
Log. 2.76=0.440909 



Sum=2.838849 
Log. 23=1.36 1728 



^ns. 130.00=1.477121 



EXPLANATION OF THE TABLE OF LOGARITHMIC SINES AND 
TANGENTS. 

This table consists merely of logarithms, calculated for the numbers 
which express the lengths of the natural sines and tangents, to every 
minute of a quadrant, whose radius is 10,000,000,000. The logarithm 
of RADIUS, of the sine of 90°, and of the tangent of 45°, will, of course, 
be lO.OOOOOO. As there is frequent necessity to employ the numbers 
in this table, the following rules must be thoroughly understood. 

To FIND THE LOGARITHMIC SINE, CO-SINE, TANGENT, OR CO-TANGENT 
OF ANY NUMBER OF DEGREES, OR DEGREES AND MINUTES. 

If the degrees are less than 45, look for them at the top of thepage^ and 
for the minutes^ in the left hand column ; under the given name^ and op- 
posite the minutes, will be found the logarithm sought. But, if the 
degrees are between 45 and 90, look for them at the bottom of the page^ 
and for the minutes^ in the right hand column : over the given name, 
and opposite the minutes, will be found the logarithm sought. If the 
angle be more than 90°, find the log. for its supplement, and it will be 
\L2 log. required. 



8 TRAVERSE TABLE. 

The secants and co-secants are not often employed in trigonometrical 
calculations, and are therefore omitted in the annexed table. They 
may easily be found, if desired, by the following rule. 

The logarithmic SECA^-T of an angle is found by suethactixg the 

LOGARITHMIC CO-SINE OF THE SAME ANGLE FROM 20.000000 : and 

The LOGARITHMIC CO-SECANT IS FOUND BY SUBTRACTING THE LOGARITH- 
MIC SINE FROM 20.000000. 

Thus, find the secant of 31° 20'. 20.000000 
Co-sin. 31° 20'= 9.931537 



Rem. = sec. 31° 20=10.068463 

Find the co-sec. of 47° 38'. 20.000000 

Sin. 47° 38= 9.868555 

Rem. = co-sec. 47° 38'=10.131445 
When there are seconds^ the column headed D is employed. The 

numbers in this column show how much difference must be allowed in 

the log. for every second. This difference is carried to two places of 

decimals. Hence the reason of the following rule. 

To find a sine or tangent to degrees^ minutes^ and seconds. 

Find for degrees and minutes as before ; then multiply the opposite 

number in the column D, by the seconds, cut off two figures from the 

right of the product, and add what is left to the log. before found. 

For co-sines and co-tangents^ this product must be subtracted^ instead of 

being added. 

To FIND THE DEGREES, OR DEGREES AND MINUTES, ANSWERING TO ANY 
GIVEN LOGARITHMIC SINE, CO-SINE, TANGENT, OR CO-TANGENT. 

• 

Under or over the proper name in the table, seek the given log. or the 
one nearest to it : the degrees will be found at the same extremity of 
the page as the name, and the minutes at the left or right, according as 
the name is at the top or bottom. 

To find an angle to seconds, subtract from the given log, the next 
less in the table, annex two ciphers to the remainder, and divide it, 
thus augmented, by the tabular difference. The quotient is seconds, to 
be added to the degrees and minutes of the tabular log. in case of sines 
and tangents, but to be subtracted, in case of co-sines and co-tangents. 



Explanation of the traverse table, or table of dif- 
ference of latitude and departure, 

This is calculated for degrees and quarters of degrees, and for any 
distance up to 100 rods, chains, &c. ; by which the northings and south- 
ings, eastings and westings made in a survey may be found. 

Note. Northings and southings are called difference of latitude, or 
simply latitude ; eastings and westings are called departure, meridi- 
an distance, or longitude. 

To find the latitude and departure^ or northings kc.for any course and 
distance. 
If the course be less than 45°, look for it at the top, but if more than 



NATURAL SINES. 9 

45° at the bottom of the page, and look for the distance in the right or 
left hand column ; against the distance, and directly under or over the 
course, stand the northing, &;c. in whole numbers and decimals. 

If the course be less than 45°, the northing or southing will be greater 
than the easting or westing ; but if more than 45°, the easting or west- 
ing will be the greatest. 

When the distance exceeds 100, take any two or more numbers, 
which, added together, will equal the distance, and find the latitude 
and departure for each of these numbers; add the several latitudes to- 
gether, and the sum will be the whole latitude ; and so for the depar- 
ture. And when the distance is in chains and links, or whole numbers 
tind decimals, find the latitude, &:c. for the chains or whole numbers, 
and then for the links or decimals, remembering to remove the decimal 
point in the table further to the left, according to the given decimal. 

1. Required the latitude and departure for 45 rods^ on a course N. 15° 
15' W. 

Under 15° 15' and against 45 is 43.42 for the northing, and 11.84 
for the westing. 

2. Required the latitude and departure for 120 rods^ on a course 
S. 58° 30' E. 

Take one third of 120, which is 40 ; against this number, over 58° 
30', is 20.90 for the latitude, and 34.11 fox the departure. These mul- 
tiplied by 3 give 62.70 for the southing, and 102.33 for the easting. 

3. Required the latitude and departure for 37.36 rods^ or 37 chains 
and 36 links^ on a course N. 26° 45' E. 

For 37. Lat. 33.04 Dep. 16.65 

0.36 .32 .16 



37.36 33.36 16.81 



Northing 33.36 Easting 16.81 

Note. — When the minutes are not 15, 30, or 45, the northings, &c. 
must be calculated by natural sines, or by trigonometry. 

When the latitude and departure are themselves given, the course 
and distance may be found in the table, thus : look along the columns 
of latitude and departure, until the given numbers are found opposite 
each other. Tlie course will then be directly under or over them, and 
the distance in the right or left hand column. 

If the numbers cannot be exactly found, take those which come near- 
est. If either or both are too great to be found in the table, divide 
both by any number, (10, 100, 1,000, &c. is most convenient,) and use 
the quotients. The course found thus will be the one required, but the 
distance must be multiplied by the number used before as a divisor. 



Explanation of the table of natural sines. 

Natural Sines are decimals bearing the same proportion to unity or 
1, that the sine of the corresponding number of degrees and minutes 
bears to radius, or sine of 90°. That is, 1 is assumed as the nat. sine 
of 90°, and the table calculated accordingly, 
M 



10 NATURAL SINES. 



TO FIND THE NATURAL SIXE OF AM NUMBER OF DEGREES AND MINL'TES. 

If the degrees be less than 45, look for them at the top of the col- 
umns, and for the minutes at the left hand ; but if more than 45, look 
for them at the bottom, and for the minutes at the right hand ; under or 
over the degrees and against the minutes, will be the natural sine re- 
quired. 

The reverse of this will give the degrees and minutes corresponding 
to any natural sine. 

TO CALCULATE THE NORTHING OR SOUTHING, ScC FOR ANT COURSE AND DI5TANCK, BY 
NATURAL SINES. 

Find the nat. sine and co-sine of the course, and into each of these 
multiply the distance ; the products will be the latitude and departure 
required. 

Required the latitude and departure for 6 chains and 22 links on a 
course N. 38^ 27' W. 

Nat. sine of 38^ 27', 0.62183 Nat. co-sine 0.78315 

6.22 6.22 



124366 156630 

124366 156630 

373098 469890 



3.8677826 4.8711930 

Answer. Northing 4.87 Westing 3.87 



A TABLE 



OF 



LOGARITHMS OF NUMBERS 

FROM 1 TO 10,000. 



N. 


L.,;'i. 


N. 


Lojr. 


N. 


Lug. 


s. 


Loo. 


1 


0.000000 


26 


1.414973 


51 


1 . 707570 


76 


1.880814 


2 


0.301030 


27 


1.431364 


52 


1.716003 


77 


1.886491 


3 


0.477121 


28 


1.447158 


53 


1.724276 


78 


1.892095 


4- 


0.602060 


29 


1.462398 


54 


1 . 732394 


79 


1.897627 


5 


0.698970 


30 


1.477121 


55 


1 . 740363 


80 


1.903090 


6 


0.778151 


31 


1.491362 


56 


1.748188 


81 


1.908485 


7 


0.845098 


32 


1.505150 


57 


1.755875 


82 


1.913814 


8 


0.903090 


33 


1.518514 


58 


1.763428 


83 


1.919078 


9 


0.954243 


34 


1.531479 


59 


1.770852 


84 


1.924279 


10 


1.000000 


35 


1.544068 


60 


1.778151 


85 


1.929419 


li 


1.041393 


36 


1.556303 


61 


1.785330 


86 


1.934498 


12 


1.079181 


37 


1.568202 


62 


1.792392 


87 


1.939519 


13 


1.113943 


38 


1.579784 


63 


1 . 799341 


88 


1.944483 


14 


1.146128 


39 


1.591065 


64 


1.806180 


89 


1.949390 


15 


1.176091 


40 


1.602060 


65 


1.812913 


90 


1.954243 


16 


1.204120 


41 


1.612784 


66 


1.819544 


91 


1.959041 


17 


1.230449 


42 


1.623249 


67 


1.826075 


92 


1.963788 


18 


1.255273 


.43 


1.633468 


68 


1.832509 


93 


1.968483 


19 


1.278754 


44 


1.643453 


69 


1.838849 


94 


1.973128 


5iO 


1.301030 


45 


1.653213 


70 


1.845098 


95 


1.977724 


21 


1.322219 


46 


1.662758 


71 


1.851258 


96 


1.982271 


22 


1.342423 


47 


1.672098 


72 


1.857333 


97 


1.986772 


23 


1.361728 


48 


1.681241 


73 


1.863323 


98 


1.991226 


24 


1.380211 


49 


1.690196 


74 


1.869232 


99 


1.995635 


25 


1.397940 


50 


1.698970 


75 


1.875061 


100 


2.000000 



N.B. In the following table, in the last nine columns of each 
page, where the first or leading figures change from 9's to O'Sj 
points or dots are introduced instead of the O's through the rest 
of the line, to catch the eye, and to indicate that from thence 
the annexed first two figures of the Logarithm in the second 
column stand in the next lower line. 



A TABLE OF LOGARITHMS FP.OM i TO 10,000. 



[ N. 1 1 1 1 2 i 3 i 4 i 5 i 6 1 7 1 8 1 9 1 D 1 


100 


000000 04341 


0868 


1301 


1734 2i66| 


2698| 3U29| 


3461 


3891 


432 


101 


4321 


4751 


5181 


5609 


6038 


6466 


6894 73211 


7748 


8174 


428 


102 


8000 


9026 


9451 


9876 


.300 


.724 


1147 


1570 


1993 


2415 


424 


103 


012837 


3259 


3680 


4100 


4521 


4940 


5360 


5779 


6197 


6616 


419 


104 


7033 


7451 


7868 


8284 


8700 


9116 


9532 


9947 


.361 


.775 


416 


105 


021189 


1603 


2016 


2428 


2841 


3252 


3664 


4075 


4486 


4896 


412 


106 


5306 


5715 


6125 


6533 


6942 


7350 


7757 


8164 


8571 


8978 


408 


107 


9384 


9789 


.195 


.600 


1004 


1408 


1812 


2216 


2619 


3021 


404 


108 


033424 


3826 


4227 


4628 


5029 


5430 


5830 


6230 


6629 


7028 


400 


109 
110 


7426 


7825 


8223 


8620 
2576 


9017 


9414 
3362 


9811 
3755 


.207 


.602 


.998 
4932 


396 
393 


041393 


1787 


2182 


2969 


4148 


4540 


111 


5323 


5714 


6105 


6495 


6885 


7275 


7664 


8053 


8442 


8830 


389 


112 


9218 


9606 


9993 


.380 


.766 


1153 


1538 


1924 


2309 


2694 


386 


113 


053078 


3463 


3846 


4230 


4613 


4996 


5378 


5760 


6142 


6524 


382 


114 


6905 


7286 


7666 


8046 


8426 


8805 


9185 


9563 


9942 


.320 


379 


115 


060698 


1075 


1452 


1829 


2206 


2582 


2958 


3333 


3709 


4083 


376 


116 


4458 


4832 


5206 


5580 


5953 


6326 


6699 


7071 


7443 


7815 


372 


117 


8186 


8557 


8928 


9298 


9668 


..38 


.407 


.776 


1145 


1514 


369 


118 


071882 


2250 


2617 


2985 


3352 


3718 


4085 


4451 


4816 


5182 


366 


119 
120 


5547 


5912 


6276 


6640 
.266 


7004 
.626 


7368 


7731 
1347 


8094 
1707 


8457 


8819 


363 
360 


079181 


9543 


9904 


.987 


2067 


2426 


121 


082785 


3144 


3503 


3861 


4219 


4576 


4934 


5291 


5647 


6004 


357 


122 


6360 


6716 


7071 


7426 


7781 


8136 


8490 


8845 


9198 


9552 


355 


123 


9905 


.258 


.611 


.963 


1315 


1667 


2018 


2370 


2721 


3071 


351 


124 


093422 


3772 


4122 


4471 


4820 


5169 


5518 


5866 


6215 


6562 


349 


125 


6910 


7257 


7604 


7951 


8298 


8644 


8990 


9335 


9681 


..26 


346 


126 


100371 


0715 


1059 


1403 


1747 


2091 


2434 


2777 


3119 


3462 


343 


127 


3804 


4146 


4487 


4828 


5169 


5510 


5851 


6191 


6531 


6871 


340 


128 


7210 


7549 


7888 


8227 


8565 


8903 


9241 


9579 


9916 


.253 


338 


129 
130 


110590 


0926 

4277 


1283 
4611 


1599 
4944 


1934 

5278 


2270 


2605 
5943 


2940 


3275 


3609 
6940 


335 
333 


113943 


5611 


6276 


6608 


131 


7271 


7603 


7934 


8265 


8595 


8926 


9256 


9586 


9915 


.245 


330 


132 


120574 


0903 


1231 


1560 


1888 


2216 


2544 


2871 


3198 


3525 


328 


133 


3852 


4178 


4504 


4830 


5156 


5481 


5806 


6131 


6456 


6781 


325 


134 


7105 


7429 


7753 


8076 


8399 


8722 


9045 


9368 


9690 


..12 


323 


135 


130334 


0655 


0977 


1298 


1619 


1939 


2260 


2580 


2900 


3219 


321 


136 


3539 


3858 


4177 


4496 


4814 


5133 


5451 


5769 


6086 


6403 


318 


137 


6721 


7037 


7354 


7671 


7987 


8303 


8818 


8934 


9249 


9564 


315 


138 


9879 


.194 


.508 


.822 


1136 


1450 


1763 


2076 


2389 


2702 


314 


139 

140 


143015 


3327 

6438 


3639 

6748 


3951 
7058 


4263 


4574 
7676 


4885 


5196 
8294 


5507 
8603 


5818 


311 
309 


146128 


7367 


7985 


8911 


141 


9219 


9527 


9835 


.142 


.449 


.756 


1063 


1370 


1676 


1982 


307 


142 


152288 


2594 


2900 


3205 


3510 


3815 


4120 


4424 


4728 


5032 


305 


143 


5336 


5640 


5943 


6246 


6549 


6852 


7154 


7457 


7759 


8061 


303 


144 


8362 


8664 


8965 


9266 


9587 


9868 


.168 


.469 


.769 


1068 


301 


145 


161368 


1667 


1967 


2266 


2564 


2863 


3161 


.3460 


3758 


4055 


299 


146 


4353 


4650 


4947 


5244 


5541 


5838 


6134 


6430 


6726 


7022 


297 


147 


7317 


7613 


7908 


8203 


8497 


8792 


9086 


9380 


9674 


9968 


295 


148 


170262 


0555 


0848 


1141 


1434 


1726 


2019 


2311 


2603 


2895 


293 


149 
150 


3186 


3478 


3769 


4060 


4351 


4641 


4932 


5222 


5512 


5802 
8689 


291 
289 


176091 


6381 


6670 


6959 


7248 


7536 


7825 


8113 


8401 


151 


8977 


9264 


9552 


9839 


.126 


.413 


.699 


.985 


1272 


1558 


287 


152 


181844 


2129 


2415 


2700 


2985 


3270 


3555 


3839 


4123 


4407 


285 


153 


4691 


4975 


5259 


5542 


5825 


6108 


6391 


6674 


6956 


7239 


283 


154 


7521 


7803 


8084 


8366 


8647 


8928 


9209 


9490 


9771 


..51 


281 


155 


190332 


0612 


0892 


1171 


1451 


1730 


2010 


2289 


2567 


2846 


279 


156 


3125 


3403 


3681 


3959 


4237 


4514 


4792 


5069 


5346 


5623 


278 


157 


5899 


6176 


6453 


6729 


7005 


7281 


7556 


7832 


8107 


8382 


276 


158 


8657 


8932 


9206 


9481 


9755 


..29 


.303 


.577 


.850 


112412741 


159 i 201397 


1670 


1943 


2216 


2488 


27611 3033 


3305 


3577 


38481272 


N. i ! 1 1 2 i 3 1 4 ! 5 1 6 1 7 1 8 ! 9 1 D. 1 





A TABLE OP LOGARITHMS PHOM 1 


TO 10,000 




3 


N. 1 ll|2|3|4|5|6l7|8!9|D. 1 


160 


204120 


4391 


466314934 


5204 


5475 


5746 


6016 


6286 


6.556 


271 


161 


6826 


7096 


7365 7634 


7904 


8173 


8441 


8710 


8979 


9247 


269 


163 


9515 


9783 


..5l! .319 


.586 


.853 


1121 


1388 


1654 


1921 


267 


163 


212188 


2454 


2720J 2986 


3252 


3518 


3783 


4049 


4314 


4579 


266 


164 


4844 


5109 


5373; 5638 


5902 


6166 


6430 


6694 


6957 


7221 


264 


165 


7484 


7747 


80l0i 8273 


8536 


8798 


9060 


9323 


9.585 


9846 


262 


166 


220108 


0370 


063110892 


1153 


1414 


1675 


1936 


2196 


2456 


261 


167 


2716 


2976 


3236 i 3496 


3755 


4015 


4274 


4533 


4792 


5051 


259 


168 


5309 


5568 


5826! 6084 


6342 


6600 


6858 


7115 


7372 


7630 


258 


169 
170 


7887 


8144 
0704 


8490 8657 


8913 


9170 
1724 


9426 


9682 

2234 


9938 


.193 


256 
254 


230449 


0960 


1215 


1470 


1979 


2488 


2742 


171 


2996 


3250 


3504 


3757 


4011 


4264 


4517 


4770 


5023 


5276 


253 


172 


5528 


5781 


6033 


6285 


6537 


6789 


7041 


7292 


7544 


7795 


252 


173 


8046 


8297 


8548 


8799 


9049 


9299 


9550 


9800 


..50 


.300 


250 


174 


240549 


0799 


1048 


1297 


1546 


1795 


2044 


2293 


2541 


2790 


249 


175 


3038 


3286 


3534 


3782 


4030 


4277 


4525 


4772 


.5019 


.5266 


248 


176 


5513 


5759 


6006 


6252 


6499 


6745 


6991 


7237 


7482 


7728 


246 


177 


7973 


8219 


8464 


8709 


8954 


9198 


9443 


9687 


9932 


.176 


245 


178 


250420 


0664 


0908 


1151 


1.395 


1638 


1881 


2125 


2368 


2610 


243 


179 
180 


2853 


3096 
5514 


3338 
5755 


3580 


3822 
6237 


4064 
6477 


4306 
6718 


4548 
6958 


4790 


5031 
7439 


242 
241 


255273 


5996 


7198 


181 


7679 


7918 


8158 


8398 


8637 


8877 


9116 


9355 


9594 


9833 


239 


182 


260071 


0310 


0548 


0787 


1025 


1263 


1501 


1739 


1976 


2214 


233 


183 


2451 


2688 


2925 


3162 


3399 


3638 


3873 


4109 


4346 


4582 


237 


184 


4818 


5054 


5290 


5525 


5761 


5996 


6232 


6467 


6702 


6937 


235 


185 


7172 


7406 


7641 


7875 


8110 


834-4 


8578 


8812 


9046 


9279 


234 


186 


9513 


9746 


9989 


.213 


.446 


.679 


.912 


1144 


1377 


1609 


233 


187 


271842 


2074 


2306 


2538 


2770 


3001 


3233 


3464 


3696 


3927 


232 


188 


4158 


4389 


4G20 


4850 


5081 


5311 


5542 


5772 


6002 


6232 


230 


189 
190 


6462 


6692 

8982 


6921 
9211 


7151 


7380 
9667 


7609 

9895 


7838 
.123 


8087 
.351 


8296 
.578 


8525 
.806 


229 

228 


278754 


9439 


191 


281033 


1261 


1488 


1715 


1942 


2169 


2396 


2822 


2849 


3075 


227 


192 


3301 


3527 


3753 


3979 


4205 


4431 


4656 


4882 


5107 


5332 


226 


193 


5557 


5782 


6007 


6232 


6456 


6681 


6905 


7130 


7354 


7578 


225 


194 


7802 


8026 


8249 


8473 


8696 


8920 


9143 


9386 


9589 


9812 


223 


195 


290035 


0357 


0480 


0702 


0925 


1147 


1369 


1591 


1813 


2034 


222 


198 


2256 


2478 


2699 


2920 


3141 


3363 


3584 


3804 


4025 


4246 


221 


197 


4466 


4687 


4907 


5127 


5347 


5567 


5787 


6007 


6226 


6446 


220 


198 


6665 


6884 


7104 


7323 


7542 


7761 


7979 


8198 


8416 


8635 


219 


199 
200 


8853 


9071 
1247 


9289 
1464 


9507 
1681 


9725 

1898 


9943 


.161 


.378 


.595 
2764 


.813 
2980 


218 

217 


301030 


2114 


2331 


2547 


201 


3196 


3412 


3828 


3844 


4059 


4275 


4491 


4706 


4921 


5136 


216 


202 


5351 


5566 


5781 


.5996 


6211 


6425 


6639 


6854 


7068 


7282 


215 


203 


7496 


7710 


7924 


8137 


8351 


8564 


8778 


8991 


9204 


9417 


213 


204 


9630 


9843 


..56 


.268 


.481 


.693 


.906 


1118 


1330 


1542 


212 


205 


311754 


1966 


2177 


2389 


2600 


2812 


3023 


3234 


3445 


3656 


211 


200 


3867 


4078 


4289 


4499 


4710 


4920 


5130 


5340 


5551 


5760 


210 


207 


5970 


6180 


6390 


6599 


6809 


7018 


7227 


7436 


7646 


7854 


209 


208 


8063 


8272 


8481 


8689 


8898 


9106 


9314 


9522 


9730 


9938 


208 


209 

210 


320146 


0354 
2426 


0562 
2633 


0769 
2839 


0977 
3046 


1184 


1391 
3458 


1598 
3665 


1805 
3871 


2012 


207 
206 


322219 


3252 


4077 


211 


4282 


4488 


4694 


4899 


5105 


5310 


5516 


5721 


5926 


6131 


205 


212 


6336 


6541 


6745 


6950 


7155 


7359 


7563 


7767 


7972 


8176 


204 


213 


8380 


8583 


8787 


8991 


9194 


9398 


9601 


9805 


...8 


.211 


203 


214 


330414 


0617 


0819 


1022 


1225 


1427 


1630 


1832 


2034 


2236 


202 


215 


2438 


2640 


2842 


.3044 


3246 


3447 


36491 


3850 


4051 


4253 


202 


216 


4454 4055 


4856 


5057 


5257| 


5458 


5658 


5859 


6059 


6360 


201 


217 


6460! 6860 


6860 


7060 


7260 


7459 


7659 


7858 


8058 


8257 


200 


218 


84561 8656 


8855 


9054 


9253 


9451 


9650 


9849 


..47 


.246 


199 


219 


340444 0642' 0841 


1039 


1237 14.35' 


1632 1830' 


2028 2225' 198 


N. 1 1 1 1 2 1 3 1 4 1 5 1 6 1 7 i 8 i 9 i D. « 



4 


A TABLE OP LOGARITHMS FROM 1 TO 10,000. 






N. 


^i ilf2|3|4|5l6|7l8|9|D. 1 


220 


342423, 2620 


2817 


3014 3212, 3409 


3606 3802 


3999 


4196 


197 


221 


4392' 4589 


4785 


4981 


5178 


6374 


5570 


5768 


5962 


6157 


196 


2^2 


6353 6549 


6744 


6939 


7135 


7330 


7525 


7720 


7915 


8110 


195 


223 


8305 8500 


8694 


8889 


9083 


9278 


9472 


9666 


9860 


..54 


194 


224 


350248 0442 


0636 


0829 


1023 


1216 


1410 


1603 


1796 


1989 


193 


225 


2183 


2375 


2568 


2761 


2954 


3147 


3339 


3532 


3724 


3916 


193 


226 


4108 


4301 


4493 


4885 


4876 


5068 


5260 


6452 


5643 


5834 


192 


227 


6026 


6217 


6408 


6599 


6790 


6981 


7172 


7363 


7554 


7744 


191 


■228 


7935 


8125 


8316 


8506 


8696 


8886 


9076 


9266 


9456 


9646 


190 


239 
230 


9835 


..25 


.215 
2105 


.404 
2294 


.593 

2482 


.783 
2671 


.972 
2859 


1161 
3048 


1350 
3236 


1539 
3424 


189 
188 


361728 


1917 


231 


3612 


3800 


3988 


4176 


4363 


4561 


4739 


4926 


5113 


5301 


188 


232 


5488 


5675 


5862 


6049 


6236 


6423 


6610 


6796 


6983 


7169 


187 


233 


7356 


7542 


7729 


7915 


8101 


8287 


8473 


8659 


8846 


9030 


186 


234 


9216 


9401 


9587 


9772 


9958 


.143 


.328 


.513 


.698 


.883 


185 


235 


371068 


1253 


1437 


1622 


1808 


1991 


2176 


2360 


2644 


2728 


184 


236 


2912 


309o 


3280 


3464 


3647 


3831 


4015 


4198 


4382 


4565 


184 


237 


4748 


4932 


5115 


5298 


5481 


5664 


6846 


6029 


6212 


6394 


183 


238 


6577 


6759 


6942 


7124 


7306 


7488 


7670 


7862 


8034 


8216 


182 


239 

240 


8398 


8580 
0392 


8761 


8943 


9124 
0934 


9306 
1115 


9487 
1296 


9688 
1476 


9849 
1656 


..30 

1837 


181 
181 


380211 


0573 


0754 


241 


2017 


2197 


2377 


2557 


2737 


2917 


3097 


3277 


3456 


3636 


180 


242 


3815 


3995 


4174 


4353 


4533 


4712 


4891 


5070 


6249 


5428 


179 


243 


5606 


5785 


5964 


6142 


6321 


6499 


6877 


6856 


7034 


7212 


178 


244 


7390 


7568 


7746 


7923 


8101 


8279 


8456 


8634 


8311 


8989 


178 


245 


9166 


9343 


9520 


9698 


9875 


..51 


.228 


.405 


.582 


.759 


177 


246 


390935 


1112 


1288 


1464 


1641 


1817 


1993 


2169 


2345 


2521 


176 


247 


2697 


2873 


3048 


3224 


3400 


3575 


3751 


3926 


4101 


4277 


176 


248 


4452 


4627 


4302 


4977 


5152 


5326 


6501 


5676 


6850 


6025 


175 


249 


6199 


6374 


6548 


6722 


6896 


7071 


7245 


7419 


7692 


7766 


174 


250 


397940 


8114 


8287 


8461 


8634 


8808 


8981 


9154 


9328 


9601 


173 


251 


9674 


9847 


..20 


.192 


.365 


.538 


.711 


.883 


1056 


1228 


173 


252 


401401 


1573 


1745 


1917 


2089 


226 i 


2433 


2605 


2777 


2949 


172 


253 


3121 


3292 


3464 


3635 


3807 


3978 


4149 


4320 


4492 


4663 


171 


254 


4834 


5005 


5176 


5346 


5517 


5688 


5858 


6029 


6199 


6370 


171 


255 


6540 


6710 


6881 


7051 


7221 


7391 


7561 


7731 


7901 


8070 


170 


256 


8240 


8410 


8579 


8749 


8918 


9087 


9257 


9426 


9596 


9764 


169 


257 


9933 


.102 


.271 


.440 


.609 


.777 


.948 


1114 


1283 


1451 


169 


258 


411620 


1788 


1956 


2124 


2293 


2461 


2829 


2796 


2964 


3132 


168 


259 
260 


3300 


3467 
5140 


3635 
5307 


3803 
5474 


3970 
5641 


4137 

5808 


4305 
5974 


4472 
6141 


4639 
6308 


4806 
6474 


167 
167 


414973 


261 


6641 


6807 


6973 


7139 


7306 


7472 


7638 


7804 


7970 


8135 


166 


262 


8301 


8467 


8633 


8798 


8964 


9129 


9295 


9^i60 


9625 


9791 


165 


263 


9956 


.121 


.286 


.451 


.616 


.78! 


.946 


1110 


1275 


1439 


165 


264 


421604 


1768 


1933 


2097 


2261 


2426 


2590 


2754 


2918 


3032 


164 


265 


3246 


3410 


3574 


3737 


3901 


4085 


4228 


4392 


4565 


4718 


164 


266 


4882 


5045 


5208 


5371 


5534 


5697 


5860 


6023 


6186 


6349 


163 


267 


6511 


6674 


6836 


6999 


7161 


7324 


7486 


7648 


7811 


7973 


162 


268 


8135 


8297 


8459 


8621 


8783 


8944 


9106 


9268 


9429 


9591 


162 


269 
270 


9752 


9914 
1525 


..75 
1685 


.236 
1846 


.398 
2007 


.559 
2167 


.720 
2328 


.881 

2488 


1042 
2649 


1203 
2809 


161 
161 


431364 


271 


2969 


3130 


3290 


3450 


3610 


3770 


3930 


4090 


4249 


4409 


160 


272 


4569 


4729 


4888 


5048 


5207 


.5367 


5526 


5685 


6844 


6004 


159 


273 


6163 


6322 


6481 


6640 


6798 


6957 


7116 


7275 


7433 


7592 


169 


274 


7751 


7909 


8067 


8226 


8384 


8542 


8701 


8869 


9017 


9175 


158 


275 


9333 


9491 


9648 


9806 


9964 


.122 


.279 


.437 


.594 


.752 


158 


276 


440909 


1066 


1224 


1381 


1538 


1695 


1852 


2009 


2166 


2323 


157 


277 


2480 


2637 


2793 


2950 


3106 


3263 


3419 


3676 


3732 


3889 


157 


278 


4045 


4201 


4357 


4513 


4669 


4826 


4981 


5137 


5293 


5449 


166 


279 


6604 


5760 


5915 


607116226 


6382 6637 


6692 6848 


7003 


155 


N. 


i 1 1 1 2 1 3 I 4 1 5 1 6 i 7 1 .8 1 9 1 D-l 





A 


TABLE OF LOGARITims 1 EOM 1 


TO 10,000. 




b 


N. 


|l|2|3|4l5|6|7i8l9|D. I 


280 


447158 


73131 7468 


7623 


7778 


7933 


8088 


8242 


8397| 8552 


155 


281 


8706 


8861 9015 


9170 


9324 


9478 


9633 


9787 


9941 


..95 


154 


282 


450249 


0403 


0557 


0711 


0865 


1018 


1172 


1326 


1479 


1633 


154 


283 


1786 


1940 


2093 


2247 


2400 


2553 


2706 


2859 


3012 


3165 


153 


284 


3318 


3471 


3624 


3777 


3930 


4082 


4235 


4387 


4540 


4692 


153 


285 


4845 


4997 


5150 


5302 


5454 


5606 


5758 


5910 


6062 


6214 


1.52 


286 


6366 


6518 


6670 


6821 


6973 


7125 


7276 


7428 


7579 


7731 


152 


287 


7882 


8033 


8184 


8336 


8487 


8638 


8789 


8940 


9091 


9242 


151 


288 


9392 


9543 


9694 


9845 


9995 


.146 


.296 


.447 


.597 


.748 


151 


289 
290 


460898 


1048 

2548 


1198 
2697 


1348 
2847 


1499 

2997 


1649 


1799 
3296 


1948 
3445 


2098 
3594 


2248 
3744 


150 
150" 


462398 


3146 


291 


3893 


4042 


4191 


4340 


4490 


4639 


4788 


4936 


5085 


5234 


149 


292 


6383 


5532 


5680 


5829 


5977 


6126 


6274 


6423 


6571 


6719 


149 


293 


6868 


7016 


7164 


7312 


7460 


7608 


7756 


7904 


8052 


8200 


148 


294 


8347 


8495 


8643 


8790 


8938 


9085 


9233 


9380 


9527 


9675 


148 


295 


9822 


9969 


.116 


.263 


.410 


.557 


.704 


.851 


.998 


1145 


147 


296 


471293 


1438 


1585 


1732 


1878 


2025 


2171 


2318 


2464 


2610 


146 


297 


2756. 


29031 3049 


3195 


3341 


3487 


3633 


3779 


3925 


4071 


146 


298 


4216 


43621 4508 


4653 


4799 


4944 


5090 


5235 


5381 


5526 


146 


299 
300 


5671 
477121 


5816 


5962 
7411 


6107 
7555 


6252 
7700 


6397 


6542 


6687 
8133 


6832 

8278 


6976 

8422 


145 
145 


7266 


7844 


7989 


301 


8566 


8711 


8855 


8999 


9143 


9287 


9431 


9575 


9719 


9863 


144 


302 


480007 


0151 


0294 


0438 


0582 


0725 


0869 


1012 


1156 


1299 


144 


303 


1443 


1586 


1729 


1872 


2016 


2159 


2302 


2445 


2588 


2731 


143 


304 


2874 


3016 


3159 


3302 


3445 


3587 


3730 


3872 


4015 


4157 


143 


305 


4300 


4442 


4585 


4727 


4869 


5011 


5153 


5295 


5437 


5579 


142 


306 


5721 


5863 


6005 


6147 


6289 


6430 


6572 


6714 


6855 


6997 


142 


307 


7138 


7280 


7421 


7563 


7704 


7845 


7986 


8127 


8269 


8410 


141 


308 


8551 


8692 


8833 


8974 


9114 
.520 


9255 


9396 


9537 


9677 


9818 


141 


309 
310 


9958 


..99 


.239 


.380 


.661 


.801 
2201 


.941 
2341 


1081 


1222 
2621 


140 
140 


491362 


1502 


1642 


1782 


1922 


2062 


2481 


311 


2760 


2900 


3040 


3179 


3319 


3458 


3597 


3737 


3876 


4015 


139 


312 


4155 


4294 


4433 


4572 


4711 


4850 


4989 


5128 


5267 


5406 


139 


313 


5544 


5683 


5822 


5960 


6099 


6238 


6376 


6515 


6653 


6791 


139 


314 


6930 


7068 


7206 


7344 


7483 


7621 


7759 


7897 


8G35 


8173 


138 


315 


8311 


8448 


8586 


8724 


8862 


8999 


9137 


9275 


9412 


9550 


138 


316 


9687 


9824 


9962 


..99 


.236 


.374 


.511 


.648 


.785 


.922 


137 


317 


501059 


1196 


1333 


1470 


1607 


1744 


1880 


2017 


2154 


2291 


137 


318 


2427 


2564 


2700 


2837 


2973 


3109 


3246 


3382 


3518 


3655 


136 


319 
320 


3791 


3927 

5286 


4063 

5421 


4199 

6557 


4335 
5693 


4471 
5828 


4607 


4743 


4878 
6234 


5014 
6370 


136 
136 


505150 


6964 


6099 


321 


6505 


6640 


6776 


6911 


7046 


7181 


7316 


7461 


7586 


7721 


135 


332 


7856 


7991 


8126 


8260 


8395 


8530 


8664 


8799 


8934 


9068 


135 


323 


9203 


9337 


9471 


9606 


9740 


9874 


...9 


.143 


.277 


.411 


134 


324 


510545 


0679 


0813 


0947 


1081 


1215 


1349 


1482 


1616 


1750 


134 


325 


1883 


2017 


2151 


2284 


2418 


2551 


2684 


2818 


2951 


3084 


133 


326 


3218 


3351 


3484 


3617 


3750 


3883 


4016 


4149 


4282 


4414 


133 


327 


4548 


4681 


4813 


4946 


5079 


5211 


5344 


5476 


5609 


5741 


133 


328 


5874 


6006 


6139 


6271 


6403 


6535 


6668 


6800 


6932 


7064 


132 


329 
330 


7196 


7328 
8646 


7460 

8777 


7592 
8909 


7724 


7855 
9171 


7987 
9303 


8119 


8251 


8382 
9697 


132 
131 


518514 


8040 


9434 


9566 


331 


9828 


9959 


..90 


.221 


.353 


.484 


.615 


.745 


.876 


1007 


131 


332 


521138 


1269 


1400 


1530 


1661 


1792 


1922 


2053 


2183 


2314 


131 


333 


2444 


2575 


2705 


2835 


2966 


3096 


3226 


3356 


3486 


3616 


130 


334 


3746 


3876 


4006 


4136 


4266 


4396 


4526 


4656 


4785 


4915 


130 


335 


5045 


5174 


5304 


5434 


5563 


5693 


5822 


5951 


6081 


6210 


129 


336 


6339 


6469 


6598 


6727 


6856 


6985 


7114 


7243 


7372 


7501 


129 


337 


7630 


7759 


7888 


8016 


8145 


8274 


8402 


8531 


8660 


8788 


129 


338 


8917 


9045 


9174 


9302 


9430 


9559 


9687 


9815 


9943 


..72 


128 


339 


530200 


0328 


0456 


05841 0712 


0840 


0968 


1096 


1223 


1351 


128 


, N. 


1 |l!2|3|4|5|6|7|8|9|D. 1 



A TABLE OP L0GAKITU?,i3 FI1031 1 TO 10,000. 



r 


i |l|2|3i4|6|6|7|8|9!D. 1 


1340 


531479 


1607 


1734 


i 1862 


1990 


2117 


2245 


2372! 2500 


2627 


128 


341 


2754 


2882 


3009 


3136 


3264 


3391 


3518 


3645 


13772 


3899 


127 


342 


4026 


4153 


4280 


4407 


4534 


4661 


4787 


4914 


1 5041 


5167 


127 


343 


5294 


5421 


5547 


5674 


5800 


5927 


6053 


6180 


6306 


6432 


126 


344 


6558 


6085 


6811 


6937 


7063 


7189 


7315 


7441 


7567 


7693 


126 


345 


7819 


7945 


8071 


8197 


8322 


8448 


8574 


8699 


8825 


8951 


126 


346 


9076 


9202 


9327 


9452 


9578 


9703 


9829 


9954 


..79 


.204 


125 


347 


540329 


0455 


0580 


0705 


0830 


0955 


1080 


1205 


1330 


1454 


125 


348 


1579 


1704 


1S29 


1953 


2078 


2203 


1 2327 


2452 


! 2576 


2701 


125 


349 
350 


2825 


2950 
4192 


3074 


3199 

44-40 


3323 


3447 


3571 
4812 


3696 
4936 


3830 
5060 


3944 
5183 


124 
124 


544088 


4316 


4564 


4688 


351 


5307 


5431 


5555 


5678 


5802 


5925 


6049 


6172 


6296 


6419 


124 


352 


6543 


6666 


6789 


6913 


7036 


7159 


7282 


7405 


■ 7529 


7652 


123 


353 


7775 


7898 


80311 S144 


8267 


8389 


8512 


8635 


8758 


8881 


123 


354 


9003 


9126 


9249i 9371 


9494 


9616 


9739 


9861 


9984 


.106 


123 


355 


550228 


0351 


0473 


0595 


07'7 


0840 


0902 


1084 


1206 


1.328 


122 


356 


1450 


1572 


1694 


1816 


1938 


2060 


2181 


2303 


2425 


2547 


122 


357 


2668 


2790 


2911 


3033 


3155 


3276 


3398 


3519 


3640 


3762 


121 


358 


3883 


4004 


4126 


4247 


4368 


4489 


4610 


4731 


4852 


4973 


121 


359 

360 


5094 


5215 


5336 


5457 


5578 
6785 


5699 
6905 


5820 
7026 


5940 
7146 


6061 

7267 


6182 

7387 


121 
120 


556303 


6423 


6544i 6664 


361 


7507 


7627 


7748 j 7868 


7988 


8108 


8228 


8349 


8469 


8589 


120 


362 


8709 


8829 


8948 9068 


9188 


9308 


9428 


9548 


9667 


9787 


120 


363 


9907 


..26 


.146 


.265 


.385 


.504 


.624 


.743 


.863 


.982 


119 


364 


561101 


1221 


1340 


1459 


1578 


1698 


1817 


1936 


2055 


2174 


119 


365 


2293 


2412 


2531 


2650 


2769 


2887 


3006 


3125 


3244 


3362 


119 


366 


3481 


3600 


3718 


3837 


3955 


4074 


4192 


4311 


4429 


4548 


119 


367 


4666 


4784 


4903 


5021 


5139 


6257 


5376 


5494 


5612 


5730 


118 


363 


5848 


5986 


6084 


6202 


6320 


6437 


0555 


6673 


6791 


6909 


118 


389 
370 


7026 
568202 


7144 


7262 
8436 


7379 

8554 


7497 
8671 


7614 
8788 


7732 
8905 


7849 
9023 


7967 
9140 


8084 
9257 


118 
117 


8319 


371 


9374 


9491 


9608 


9725 


9842 


9959 


..76 


.19o 


.309 


.426 


117 


372 


570543 


0660 


0776 


0893 


1010 


1126 


1243 


1359 


1476 


1.592 


117 


373 


1709 


1825 


1942 


2058 


2174 


2291 


2407 


2523 


2639 


2765 


116 


374 


2872 


2988 


3104 


3220 


3336 


3452 


3568 


3684 


3800 


3915 


116 


375 


4031 


4147 


4263 


4379 


4494 


4610 


4726 


4841 


4957 


5072 


116 


376 


5188 


5303 


5419 


5534 


5650 


5765 


5880 


5996 


6111 


6226 


115 


377 


6341 


6457 


6572 


6687 


6802 


6917 


7032 


7147 


7262 


7377 


115 


378 


7492 


7607 


7722 


7836 


7951 


8066 


8181 


8295 


8410 


8525 


115 


379 
380 


8639 


8754 


8868 
..12 


8983 
.126 


9097 


9212 
.355 


9326 
.469 


9441 
.583 


9555 


9669 


114 

114 


579784 


989S 


.241 


.697 


.811 


381 


580925 


1039 


1153 


1267 


1381 


1495 


1608 


1722 


1336 


1950 


114 


382 


2063 


2177 


2291 


2404 


2518 


2631 


2745 


2868 


2972 


3035 


114 


383 


3199 


3312 


3426 


3539 


3852 


3765 


.3879 


3992 


4105 


4218 


113 


334 


4331 


4444 


4557 


4670 


4783 


4896 


5009 


6122 


5235 


6348 


113 


385 


5461 


5574 


5686 


5799 


5912 


6024 


6137 


6250 


6362 


6475 


113 


386 


6587 


6700 


6812 


6925 


7037 


7149 


7262 


7374 


7486 


7599 


112 


387 


7711 


7823 


7935 


8047 


8160 


8272 


8384 


8496 


8608 


8720 


112 


388 


8832 


8944 


9056 


9167 


9279 


9391 


9503 


9815 


9726 


9838 


112 


389 
390 


9950 


..61 
1176 


.173 
1287 


.284 
1399 


.396 
1510 


.507 
1021 


.619 


.739 


.842 
1955 


.953 


112 
111 


591065 


1733 


1843 


2066 


391 


2177 


2288 


2399 


2510 


2621 


2732 


2843 


2S54 


3064 


3175 


111 


392 


3286 


3397 


3508 


3618 


3729 


3840 


3950 


4061 


4171 


4282 


111 


393 


4393 


4503 


4614 


4724 


4834 


4945 


5055 


5165 


5276 


5386 


110 


394 


5496 


5606 


5717 


5827 


5937 


6047 


6157 


6267 


6377 


6487 


110 


395 


6597 


6707 


6817 


6927 


7037 


7146 


7256 


7366 


7476 


7586 


110 


396 


7695 


7805 


7914 


8024 


8134 


8243 


8353 


8462 


8572 


8681 


110 


397 


8791 


8900 


9009 


9119 


9228 


9337 


9446 


9556 


9665 


9774 


109 


398 


9883 


9992 


.101 


.210 


.319 


.428 


.537 


.646 


.755 


.864 


109 


399 


600973 


1082 


1191 


1299 


1408 


1517 


1625 


1734 


1843 


1951 


109 


N. 


1 1 1 2 1 3 1 4 1 5 i 6 1 7 1 8 1 9 1 D. 1 



A TABLE OF L0GAIllTiI3lS FROM 1 TO 10,000. 



H 


1 1 1 2 1 3 1 4 1 5 i 6 1 7 ! 8 1 9 1 D j 


400 


602060 


2169 


2277 


23S0 


2494 


2603 


2711 


2819 


2928) 


3036' 108 f 


401 


3144 


3253 


3361 


3469 


3577 


3686 


3794 


3902 


4010 


4118 


108 


402 


4226 


4334 


4442 


4550 


4658 


4766 


4874 


4982 


5089 


5197 


108 


403 


5305 


5413 


5521 


5628 


5736 


5844 


5951 


6059 


6166 


6274 


108 


404 


6381 


6489 


6596 


6704 


6811 


6919 


7026 


7133 


7241 


7348 


107 


405 


7455 


7562 


7669 


7777 


7884 


7991 


8098 


8205 


8312 


8419 


107 


406 


8526 


8633 


8740 


8847 


8954 


9061 


9167 


9274 


9381 


9488 


107 


407 


9594 


9701 


9808 


9914 


..21 


.128 


.234 


.341 


.447 


.554 


107 


408 


610660 


0767 


0873 


0979 


1086 


1192 


1298 


1405 


1511 


1617 


106 


409 
410 


1723 


1829 


1936 


2042 


2148 


2254 


2360 


2466 
3525 


2572 


2678 
3736 


106 
106 


612784 


2890 


2996 


3102 


3207 


3313 


3419 


3630 


411 


3842 


3947 


4053 


4159 


4284 


4370 


4475 


4581 


4686 


4792 


106 


412 


4897 


5003 


5108 


5213 


5319 


5424 


5529 


5634 


5740 


5845 


105 


413 


5950 


6055 


6160 


6265 


6370 


6476 


6581 


6686 


6790 


6895 


105 


414 


7000 


7105 


7210 


7315 


7420 


7525 


7629 


7734 


7839 


7943 


105 


415 


8048 


8153 


8257 


8362 


8466 


8571 


8676 


8780 8884 


8989 


105 


416 


9093 


9198 


9302 


9406 


9511 


9615 


9719 


9824 


9928 


..32 


104 


417 


620136 


0240 


0344 


0448 


0552 


0656 


0760 


0864 


0968 


1072 


104 


418 


1176 


1280 


1384 


1488 


1592 


1695 


1799 


1903 


2007 


2110 


104 


419 
420 


2214 


2318 
3353 


2421 
3456 


2525 
3559 


2628 


2732 


2835 


2939 


3042 


3146 


104 
103 


623249 


3663 


3766 


3869 


3973 


4076 


4179 


421 


4282 


4385 


4488 


4591 


4695 


4798 


4901 


5004 


5107 


5210 


103 


422 


6312 


5415 


5518 


5621 


5724 


5827 


5929 


6032 


6135 


6238 


103 


423 


6340 


6443 


6546 


6648 


6751 


6853 


6956 


7058 


7161 


7263 


103 


424 


7366 


7468 


7571 


7673 


7775 


7878 


7980 


8082 


8185 


8287 


102 


425 


8389 


8491 


8593 


8695 


8797 


8900 


90021 9104 


9206 


9308 


102 


426 


9410 


9512 


9613 


9715 


9817 


9919 


..211 .123': .324 


.326i 102 1 


427 


630428 


0530 


0631 


0733 


0835 


0936 


1038 


11391 1241 


1342 


102 


428 


1444 


1545 


1647 


1748 


1849 


1951 


2052 


2153 


2255 


2356 


101 


429 
430 


2457 


2559 
3569 


2660 
3670 


2761 


2862 


2963 


3064 


3165 

4175 


3266 
4276 


3367 
4376 


101 
100 


633468 


3771 


3872 


3973 


4074 


431 


4477 


4578 


4679 


4779 


4880 


4981 


5081 


5182 


5283 


5383 


100 


432 


5484 


55S4 


5685 


5785 


5886 


5986 


6087 


6187 


6287 


6388 


100 


433 


6488 


6588 


6688 


6789 


6889 


6989 


7089 


7189 


7290 


7390 


100 


434 


7490 


7590 


7690 


7790 


7890 


7990 


8090 


8190 


8290 


8389 


99 


435 


8489 


8589 


8889 


8789 


8888 


8988 


9088 


9188 


9287 


9387 


99 


436 


9486 


9588 


9686 


9785 


9885 


9984 


..84 


.183 


.283 


.382 


99 


437 


640481 


0581 


0680 


0779 


0879 


0978 


1077 


1177 


1276 


1375 


99 


438 


1474 


1573 


1672 


1771 


1871 


1970 


2069 


2168 


2267 


2366 


99 


439 

440 


2465 


2563 


2662 
3650 


2761 
3749 


2860 

3847 


2959 


3058 


3156 


3255 

4242 


3354 

4340 


99 
98 


643453 


3551 


3946 


4044 


4143 


441 


4439 


4537 


4636 


4734 


4832 


4931 


5029 


5127 


5226 


5324 


98 


442 


5422 


5521 


5619 


5717 


5815 


5913 


6011 


6110 


6208 


6306 


98 


443 


6404 


6502 


6600 


6698 


6796 


6894 


6992 


7089 


7187 


7285 


98 


444 


7383 


7481 


7579 


7670 


7774 


7872 


7969 


8067 


8165 


8262 


98 


445 


8360 


8458 


8555 


8653 


8750 


8848 


8945 


9043 


9140 


9237 


97 


446 


9335 


9432 


9530 


9627 


9724 


9821 


9919 


..16 


.113 


.210 


97 


447 


650308 


0405 


0502 


0599 


0696 


0793 


0890 


0987 


1084 


1181 


97 


44S 


1278 


1375 


1472 


1569 


1666 


1762 


1859 


1956 i 2053 


2150 


97 


449 
450 


2246 


2343 
3309 


2440 
3405 


2536 
3502 


2633 
359S 


2730 
3695 


2326 


2923 


3019 


3116 
4080 


97 
96 


653213 


3791 


3888 


3984 


451 


4177 


4273 


4369 


4455 


4562 


4658 


4754 


4850 


4946 


50421 961 


452 


5138 


5235 


5331 


5427 


5523 


5619 


5715 


5810 


5906 


6002 


96 


453 


6098 


6194 


6290 


6386 


6482 


6577 


6673 


6769 


6864 


6960 


96 


454 


7056 


7152 


7247 


7343 


7438 


7534 


7629 


77251 7820 


7916 


96 


455 


8011 


8107 


8202 


8298 


8393 


8488 


8584 


8679 


8774 


8870 


95 


456 


8965 


9060 


9155 


9250 


9346 


9441 


9536 


9631 


9726 


9821 


95 


457 


9916 


..11 


.106 


.201 


.296 


..391 


.486 


.581 


.676 


.771 


95 


458 


660865 


0960 


1055 


1150 


1245 


1.339 


1434 


1529 


1623 


1718 


95 


459 


1813 


1907 


2002 


2096 


2191 


228G 


2380 


247512569 


2663! 95 1 


. N. 


1 1 1 1 2 1 3 ': 4 1 5 1 6 1 7 ! 8 1 9 I D. 1 



A TABLE OF LOGARITHMS TEOISI 1 TO 10,000. 



N. 


1 1 1 2 1 3 1 4 1 5 i 6 [ 7 ! 8 I 9 1 D. 1 


460 


662758 


2852 


2947 


3041,3135 3230, 3324,3418 


3512 


3607 941 


461 


3701 


3795 


3SS9 


39S3 


4U78 


4172 4266 


4360 


4454 


4548 


94 


462 


4642 


4736 


4830 


4924 


5018 


5112 5200 


5299 


5393 


5487 


94 


463 


5581 


5675 


5769 


5862 


5956 


6050 6143 


6237 


6331 


6424 


94 


464 


6518 


6612 


6705 


6799 


6892 


6986 7079 


7173 


7266 


7360 


94 


465 


7453 


7546 


7640 


7733 


7826 


7920 8013 


8106 


8i99 


8293 


93 


466 


8386 


8479 


8572 


8665 


8759 


8S52 8945 


9038 


9131 


9224 


93 


467 


9317 


9410 


9503 


9596 


9689 


9782 9J75 


9967 


..60 


.153 


93 


468 


670241 


0339 


0431 


0524 


0617 


OiiO: 0802 


0895 


0988 


1080 


93 


469 


1173 


1265 


1358 


1451 


1543 


1636. 1728 


1821 


1913 


2005 


93 


470 


67209S 


2190 


2283 


2375 


2467 


2560 2652 


2744 


2836 


2929 


92 


471 


^•021 


3113 


3205 


3297 


3390 


34S2; 3574 


3666 


3758 


3850 


92 


472 


3942 


4034 


4126 


42 IS 


4310 


4402 4i94 


4586 


4677 


4769 


92 


473 


4861 


4953 


5045 


5137 


5228 


5320: 5412 


5503 


5595 


.5687 


92 


474 


5778 


5870 


5962 


6053 


6 145 


62361 6328 


6419 


6511 


6602 


92 


475 


6694 


6785 


6876 


6968 


7059 


7151; 7242 


7333 


7424 


7516 


91 


476 


7607 


7698 


7789 


76 81 


7972 


8063; 8154 


8245 


8336 


8427 


91 


477 


8518 


8609 


8700 


8791 


8SS2 


89731 9064 


9155 


9246 


9337 


91 


478 


9428 


9519 


9610 


9700 


9791 


98821 9973 


..63 


.1.54 


.245 


91 


479 


680336 


0426 


0517 


0607 


0698 


0789; 0879 


0970 


1060 


1151 


91 


480 


681241 


1332 


1422 


1513 


1603 


16931 1784 


1874 


1964 


2055 


90 


481 


2145 


2235 


2326 


2416 


2506 


2596 


2686 


2777 


2867 


2957 


90 


482 


3047 


3137 


3227 


3317 


3407 


3497 


3587 


3677 


3767 


3857 


90 


483 


3947 


4037 


4127 


4217 


4307 


4396 


4486 


4576 


4666 


4756 


90 


484 


4845 


4935 


5025 


5114 


5204 


5294 


5383 


5473 


.5563 


5652 


90 


485 


5742 


5831 


5921 


6010 


6100 


6189! 6279 


6368 


6458 


6547 


89 


486 


6636 


6726 


6815 


6904 


6994 


7083i 7172 


7261 


7351 


7440 


89 


487 


7529 


7618 


7707 


7796 


7886 


7975; 8064 


8153 


8242 


8331 


89 


488 


8420 


8509 


8598 


8687 


8776 


8865^ 8953 


9042 


9131 


9220 


89 


489 


9309 


9398 


94S6 


9575 


9664 


97 53i 9841 


9930 


..19 


.107 


89 


490 


690196 


0285 


0373 


0462 


0550 


0639; 0728 


0816 


0905 


0993 


89 


491 


1081 


1170 


125S 


1347 


1435 


1524 1612 


1700 


1789 


1877 


88 


492 


1965 


2053 


2142 


2230 


2318 


2406 ! 2494 


2583 


2671 


2759 


88 


493 


2847 


2935 


3023 


3111 


3199 


3287: 3375 


3463 


3551 


3639 


88 


494 


3727 


3815 


3903 


3991 


4078 


4166; 4254 


4342 


4430 


4517 


88 


495 


4605 


4693 


4781 


4368 


4956 


5044; 5131 


5219 


5307 


5394 


88 


496 


5482 


5569 


5657 


5744 


5832 


5919; 6007 


6094 


6182 


6269 


87 


497 


6356 


6444 


6531 


6618 


6706 


67931 6880 


6968 


7055 


7142 


87 


498 


7229 


7317 


7404 


7491 


7578 


7665: 7752 


7839 


7926 


8014 


87 


499 


8101 


8188 


8275 


8362 


8449 


85351 8622 


8709 


8796 


8883 


87 


500 


698970 


9057 


9144 


9231 


9317 


9404; 9491 


9578 


9664 


9751 


87 


501 


9838 


9924 


..11 


..98 


.184 


.271j .358 


.444 


.531 


.617 


87 


502 


700704 


0790 


0877 


0963 


1050 


11361 1222 


1309 


1395 


1482 


86 


503 


1568 


1654 


1741 


1827 


1913 


1999; 2086 


2172 


2258 


2344 


86 


504 


2431 


2517 


2603 


2689 


2775 


286 1: 2947 


3033 


3119 


3205 


86 


505 


3291 


3377 


3463 


3549 


3635 


3721: 3S07 


3895 


3979 


4065 


86 


506 


4151 


4236 


4322 


4408 


4494 


4579 4665 


4751 


4837 


4922 


86 


507 


5008 


5094 


5179 


5265 


5350 


5436 5522 


5607 


5693 


5778 


86 


508 


5864 


5949 


6035 


6120 


6206 


6291 6376 


6462 


6547 


6632 


85 


509 
510 


6718 


6803 
7655 


6888 
7740 


6974 

7826 


7059 
7911 


7144j2229 
7996! 8081 


7315 

8166 


7400 
8251 


7485 
8336 


85 
85 


707570 


511 


8421 


8506 


8591 


8676 


8781 


8846; 8931 


9015 


9100 


9185 


85 


512 


9270 


9355 


9440 


9524 


9609 


9694. 9779 


9S63 


9948 


..33 


85 


513 


710117 


0202 


0287 


0371 


0456 


05401 0625 


0710 


0794 


0879 


85 


514 


0963 


1048 


1132 


1217 


1301 


1385) 1470 


1554 


1639 


1723 


84 


515 


1807 


1892 


1976 


2060 


2144 


2229 2313 


2397 


24^1 


2566 


84 


516 


2650 


2734 


2818 


2902 


2986 


3070 3154 


3238 


3323 


3407 


84 


517 


3491 


3575 


3650 


3742 


3S26 


3910; 3994 


4078 


4162 


4246 


84 


518 


4330 


4414 


4497 


4581 


4665 


47491 4833 


4916 


5000 


5084 


84 


519 


5167' 5251 


5335! 5418 


5502 


55861 5669 


5753' 58361 5920 


84 


JL 


1 1 1 1 2 1 3 I 4 1 5 1 6 1 7 1 8 1 9 1 D. 1 





A TABLE OF LOGARITHMS FROM I 


TO 10,000 




9 


TT" 


|l|2|3|4|6|6|7|8|9|D. 1 


520 


716003 


6087. 6170 


6254 

7088 


6337 


6421 


6504 


6588 


6671 


6754 


83 


521 


6838 


6921 


7004 


7171 


7254 


7338 


7421 


7504 


7587 


83 


522 


7671 


7754 


7837 


7920 


8003 


8086 


8169 


8253 


8336 


8419 


83 


523 


8502 


8585 


8668 


8751 


8834 


8917 


9000 


9083 


9165 


9248 


83 


524 


9331 


9414 


9497 


9580 


9663 


9745 


9828 


9911 


9994 


..77 


83 


525 


720159 


0242 


0325 


0407 


0490 


0573 


0655 


0738 


0821 


0903 


83 


526 


0986 


1068 


1151 


1233 


1316 


1398 


1481 


1563 


1646 


1728 


82 


527 


1811 


1893 


1975 


2058 


2140 


2222 


2305 


2387 


2469 


2652 


82 


528 


2634 


2716 


2798 


2881 


2963 


3045 


3127 


3209 


3291 


3374 


82 


529 
530 


3456 
724276 


3538 
4358 


3620 

4440 


3702 

4522 


3784 
4604 


3866 
4685 


3948 
4767 


4030 

4849 


4112 
4931 


4194 


82 
82 


5013 


531 


5095 


5176 


5258 


5340 


5422 


5503 


5585 


5667 


5748 


5830 


82 


532 


5912 


5993 


6075 


6156 


6238 


6320 


6401 


6483 


6564 


6646 


82 


533 


6727 


6809 


6890 


6972 


7053 


7134 


7216 


7297 


7379 


7460 


81 


534 


7541 


7623 


7704 


7785 


7866 


7948 


8029 


8110 


8191 


8273 


81 


535 


8354 


8435 


8516 


8597 


8678 


8759 


8841 


8922 


9003 


9084 


81 


536 


9165 


9246 


9327 


9408 


9489 


9570 


9651 


9732 


9813 


9893 


81 


537 


9974 


..55 


.136 


.217 


.298 


.378 


.459 


•540 


.621 


.702 


81 


538 


730782 


0863 


0944 


1024 


1105 


1186 


1266 


1347 


1428 


1608 


81 


539 


1589 


1669 


1750 


1830 


1911 


1991 


2072 


2152 


2233 


2313 


81 


540 


732394 


2474 


2555 


2635 


2715 


2796 


2876 


2966 


3037 


3117 


80 


541 


3197 


3278 


3358 


3438 


3518 


3598 


3679 


3769 


3839 


3919 


80 


542 


3999 


4079 


4160 


4240 


4320 


4400 


4480 


4560 


4640 


4720 


80 


543 


4800 


4880 


4960 


5040 


5120 


5200 


5279 


5359 


6439 


5619 


80 


544 


5599 


5679 


5759 


5838 


5918 


5998 


6078 


6157 


6237 


6317 


80 


545 


6397 


6476 


6556 


6635 


6715 


6795 


6874 


6954 


7034 


7113 


80 


546 


7193 


7272 


7352 


7431 


7511 


7590 


7670 


7749 


7829 


7908 


79 


547 


7987 


8067 


8146 


8225 


8305 


8384 


8463 


8543 


8622 


8701 


79 


548 


8781 


8860 


8939 


9018 


9097 


9177 


9256 


9335 


9414 


9493 


79 


549 
550 


9572 
740363 


9651 
0442 


9731 
0521 


9810 
0600 


9889 
0078 


9968 
0757 


..47 
0836 


.126 


.206 


.284 


79 
79 


0915 


0994 


1073 


551 


1152 


1230 


1309 


1388 


1467 


1546 


1624 


1703 


1782 


1860 


79 


552 


1939 


2018 


2096 


2175 


2254 


2332 


2411 


2489 


2668 


2646 


79 


553 


2725 


2804 


2882 


2961 


3039 


3118 


3196 


3275 


3363 


3431 


78 


554 


3510 


3588 


3667 


3745 


3S23 


3902 


3980 


4058 


4136 


4216 


78 


555 


4293 


4371 


4449 


4528 


4606 


4684 


4762 


4840 


4919 


4997 


78 


556 


. 5075 


5153 


5231 


5309 


5387 


5465 


5543 


5621 


5699 


6777 


78 


557 


5855 


5933 


6011 


6089 


6167 


6245 


6323 


6401 


6479 


6656 


78 


558 


6634 


6712 


6790 


6868 


6945 


7023 


7101 


7179 


7256 


7334 


78 


559 

560 


7412 


7489 
8266 


7567 
8343 


7645 
8421 


7722 
8498 


7800 
8570 


7878 
8653 


7955 


8033 

8808 


8110 

8886 


78 
77 


748188 


8731 


561 


8963 


9040 


9118 


9195 


9272 


9350 


9427 


9504 


9582 


9659 


77 


562 


9736 


9814 


9891 


9968 


..45 


.123 


.200 


.277 


.364 


.431 


77 


563 


750508 


0586 


0663 


0740 


0817 


0894 


0971 


1048 


1126 


1202 


77 


564 


1279 


1356 


1433 


1510 


1587 


1664 


1741 


1818 


1896 


1972 


77 


565 


2048 


2125 


2202 


2279 


2356 


2433 


2509 


2686 


2663 


2740 


77 


566 


2816 


2893 


2970 


3047 


3123 


3200 


3277 


3363 


3430 


3506 


77 


567 


3583 


3660 


3736 


3813 


3889 


3966 


4042 


4119 


4195 


4272 


77 


568 


4348 


4425 


4501 


4578 


4654 


4730 


4807 


4883 


4960 


5036 


76 


569 
570 


5112 


5189 
5951 


5265 
6027 


5341 
6103 


5417 
6180 


5494 
6256 


5570 
6332 


6646 
6408 


5722 
6484 


5799 
6560 


76 
76 


765875 


571 


6636 


6712 


6788 


6864 


6940 


7016 


7092 


7168 


7244 


7320 


76 


572 


7396 


7472 


7548 


7624 


7700 


7775 


7851 


7927 


8003 


8079 


76 


573 


8155 


8230 


8306 


8382 


8458 


8533 


8609 


8685 


8761 


8836 


76 


574 


8912 


8988 


9063 


9139 


9214 


9290 


9366 


9441 


9517 


9592 


76 


575 


9668 


9743 


9819 


9894 


9970 


..45 


.121 


.196 


.272 


.347 


75 


576 


760422 


0498 


0573 


0649 


0724 


0799 


0875 


0950 


1025 


1101 


75 


577 


1176 


1251 


1326 


1402 


1477 


1552 


1627 


1702 


1778 


1853 


75 


578 


1928 


2003 


2078 


2153 


2228 


2303 


2378 


2453 


2529 


2604 


75 


579 


2679 


2754 


2829 


2904' 2978 


3053 


3128 


3203 


3278 


3353 


75 


N. 


|ll2l3|4|5lfi!7i8l9|D. 1 












B 















10 



A TAELE OF LOGARITHMS FIi03I 1 TO 10,000. 



1 ^' 


1 ilf2|3|4|5|6|7|8|9|D. 


1580 


763428 


350S 


5 3578, 3653, 3727, 3802, 3877 


39521 40271 410] 


i 75 


581 


4176 


4261 


4326 44O0 


4475 


4550 4624 


469£ 


) 4774148481 75 


682 


4923 


4998 


5072 5147 


5221 


5296 5370 


544c 


552C 


5594 


^ 75 


583 


6669 


5742 


5818 5892 


5966 


60411 6115 


619( 


> 626"^ 


[ 6338 


74 


584 


6413 


648? 


6562 6636 


6710 


67851 6859 


693£ 


7007 


' 7082 


74 


585 


7156 


7230 


7304 7379 


7453 


7527! "^601 


767£ 


774S 


7823 


74 


686 


7898 


7972 


8046! 8120 


8194 


8268: 8342 


8416 


849C 


8564 


74 


587 


8638 


8712 


87861 8860 


8934 


9008 i 9082 


9156 


|9230 


9303 


74 


588 


9377 


9451 


9525| 9599 


9673 


9746i 9820 


19894 


996S 


..42 


74 


689 
590 


770115 
770852 


0189 


0263 j 0336 
09991 1073 


|0410 
1 1146 


0484! 0557 
1220; 1293 


0631 
1367 


! 0705 
1 1440 


0778 
; 1514 


74 
74 


0926 


591 


1687 


1661 


173"^ 


y 1808J 1881 


1955; 2028 


2102 


12175 


,2248 


73 


692 


2322 


2395 


2468 


] 2542 


2615 


2688: 2762 


2835 


12908 


i 2981 


73 


693 


3055 


3128 


320] 


3274 


3348 


342113494 


3567 


i 3640 


|3713 


73 


694 


3786 


3860 


3932 


1 4006 


4079 


4152 4225 


4298 


; 4371 


'4444 


73 


595 


4517 


4590 


46631 4736 


4809 4882! 4955 


6028 


|5100 


|5173 


73 


596 


5246 


5319 


5392! 5465 


5533! 56101 56831 5756 


5829 


5902 


73 


697 


6974 


6047 


612016193 


6265| 6338 6411 6483 


6556 


6629 


73 


598 


6701 


6774 


68461 6919 


69921 7064i 7137 7209 


! 7282 


7354 


73 


599 


7427 


7499 


75721 7644 


7717i 7789! 7862 7934 


8006 


8079 


72 


600 


778151 


8224 


8296i 83681' 8441 1 85131 85851 8G58 


8730 


8802 


72 


601 


8874 


8947 


90191 90911 91631 92361 9308| 9380 


9452 


9524 


72 


602 


9596 


9669 


974l!9S13 9885! 9957! .•29! .101 


.173 


.245 


72 


l603 


780317 


0389 


0481! 0533 


0605 0677| 0749! 0821 


0893 


0965 


72 


604 


1037 


1109 


1181 1253 


1324 13961 1468! 1640 


1612 


1684 


72 


605 


1755 


1827 


1899 1971 


20421 21l4i 2186 2258 


2329 


2401 


72 


606 


2473 


2544 


2616^ 2688 


2759! 2831; 2902] 2974 


3046 


3117 


72 


607 


3189 


3260 


33321 3103 


3475 3546, 36iS| 3689 


3761 


3832 


71 


608 


3904 


3975 


4046 4118 


4189 4261) 4332! 4403 


4475 


4546 


71 


609 


4617 


4689 


476^^1 4S3i 


49021 4974' 5045! 5116 


5187 


5259 


71 


610 


? 85330 j 


6401 


54721 6543 


56l5j 5686! 5757J 5828 


5899 


5970 


71 


611 


6041 


6112 


6183, 6254 


6325] 6396! 6467 6538 


6609 


6680 


71 


612 


6751 


6822 


6893 


69641 


7035 7106! 7177| 7248 


7319 


7390 


71 


613 


7460 


7531 


7602 


7673 


7744! 7815 


78851 7956 


8027 


8098 


71 


614 


8168 


8239 


8310 


8381 


8451 -8522 


8593' 8663 


8734 


8804 


71 


615 


8875 


8946 


3016 


9087 


9167 9228 


9299i 9369 


9440 


9510 


71 


616 


9581 


9651 


9722 


9792 


9863 9933 


...4] ..74 


.144 


.215 


70 


617 


790285 


0356 


0426 


0496 


0567 0637 


0707] 0778 


0848 


0918 


70 


618 


0988 


1059 


1129 


1199 


12691 1340 


1410! 1480 


1550 


1620 


70 


619 
620 


1691 


1761 


1831 
2532 


19011 1971 2041 
26021 2672| 2742 


2II1I 2181 

2812 2S82 


2252 
2952 


2322 


70 
70 


792392 


2462 


3022] 


621 


3092 


3162 


3231 


3301 3371 3441 


3511 3581 


3651 


3721 


70 


022 


3790 


3860 


3930 


4000 4070 4139 


4209 4279 


4349 


4418 


70 


623 


4488 


4558 


4627 


4697 4767i 4836 


4906, 4976 


5045! 


5115 


70 


624 


6185 


5254 


5324 


5393 54631 5532 


6602! 56721 


5741! 


5811 


70 


625 


5880 


5949 


6019 


6088 6158! 6227 


6297 6366| 


6436! 


6505 


69 


626 


6574 


6644 


6713 


6782 6852! 6921 


6990 7060| 


7129 


7198 


69 


627 


7268 


7337 


7406 


7475, 75451 7614 


7683 7752] 


7821! 


7890 


69 


628 


7960 


8029 


8098 


8167 


8236] 8305 


8374 


84431 


8513 


8582 


69 


639 
630 1 


8651 


8720 


8789 


8358 


&927i 8996 
96161 9685 


9065 


9134 
9823 


9203 


9272 
9961 


69 
69 


799341 


9409 


9478 


9547 


9754 


9892 


631 


800029 


0098 


0167 


0236 


0305! 0373 


0442 


0511 


0680 


0648 


69 


632 


0717 


0786 


0854 


0923 


09921 1061 


112& 


1198 


1266 


1335 


69 


633 


1404 


1472 


1541 


1609 1678J 1747 


1815 


1884 


1952 


2021 


69 


634 


2089 


2168 


2226 


2295 2363: 2432 


2500 


2568 


2637 


2705 


69 


636 


2774 2842 


2910 


2979 3047 3116 


3184 


32521 


3321 


3389 


68 


636 


34571 3525 


3594 


3862] 37301 3798 


3867 3935 


4003 


4071 


68 


637 


4139 4208 


4276 


4344 4412.' 4480 


4548 4616 


4685 


4763 


68 


638 


4821 4889 


4957 


5025 5093; 5161 


5229 5297J 


5365 


5433 


68 


639 


5501 5569 


5637 


5705 57731 5841 


59081 59761 


6044 


6112 68 1 


JM 


|l|2|3|4|5|6|7|8!9|D. f 



A TABLE OF LOGARITHMS FROM 1 TO 10,000. 



11 



N. 





l|2|3|4|5l6|7|8|9|D. 1 


640 


806180 


6248 


63161 6384 


6451 


6519 6587 


6655 67231 


6790 68 


B41 


6858 


6926 


6994 


7061 


7129 


7197 7264 


7332 


7400 


7467 68 


642 


7535 


7603 


7670 


7738 


7806 


7873 7941 


8008 


8076 


8143 68 


643 


8211 


8279 


8346 


8414 


8481 


8549 


8616 


8684 


8751 


8818 67 


644 


8886 


8953 


9021 


9088 


9156 9223 


9290 


9358 


9425 


9492 67 


645 


9580 


9627 


9094 


9762 


9829 9896 


9964 


..31 


..98 


.165 


67 


646 


810233 


0300 


0367 


0434 


0501 0569 


0636 


0703 


0770 


0837 


67 


647 


0904 


0971 


1039 1106 


1173 1240 


1307 


1374 


1441 


1508 


67 


648 


1575 


1642 


17091 1776 


1843 


1910 


1977 


2044 


2111 


2178 


67 


649 
650 


2245 


2312 
2980 


2379 
3047 


2445 
3114 


2512 
3181 


2579 
3247 


2646 
3314 


2713 
3381 


2780 
3448 


2847 
3514 


67 
67 


812913 


651 


3581 


3648 


3714 


3781 


3S48 


3914 


3981 


4048 


4114 


4181 


67 


652 


4248 


4314 


4381 


4447 


4514 


4581 


4647 


4714 


4780 


4847 


67 


653 


4913 


4980 


5046 


5113 


5179 


5246 


5312 


5378 


5445 


.5511 


66 


654 


5578 


5644 


5711 


5777 


5843 


5910 


5976 


6042 


6109 


6175 


66 


655 


6241 


6308 


6374 


6440 


6506 


6573 


6639 


6705 


6771 


6838 


66 


656 


6904 


6970 


7036 


7102 


7169 


7235 


7301 


7367 


7433 


7499 


66 


657 


7565 


7631 


7698 


7764 


7830 


7896 


7962 


8028 


8094 


8160 


66 


658 


8226 


8292 


8358 


8424 


8490 


8556 


8622 


8688 


8754 


8820 


66 


659 


8885 


8951 


9017 


9083 


9149 


9215 


9281 


9346 


9412 


9478 


66 


660 


819544 


9610 


9676 


9741 


9807 


9873 


9939 


...4 


..70 


.136 


66 


661 


820201 


0267 


0338 


0399 


0464 


0530 


0595 


0661 


0727 


0792 


66 


662 


0858 


0924 


0989 


1055 


1120 


1186 


1251 


1317 


1382 


1448 


66 


663 


1514 


1579 


1645 


1710 


1775 


1841 


1906 


1972 


2037 


2103 


65 


664 


2168 


2233 


2299 


2364 


2430 


2495 


2560 


2626 


2691 


2756 


65 


665 


2822 


2887 


2952 


3018! 3083 


3148 


3213 


3279 


3344 


3409 


65 


666 


3474 


3539 


3605 


3670 


3735 


3800 


3865 


3930 


3996 


4061 


65 


667 


4126 


4191 


4256 


4321 


4386 


4451 


4516 


4581 


4646 


4711 


65 


668 


4776 


4841 


4906 


4971 


5036 


5101 


5166 


5231 


5296 


5361 


65 


669 


5426 


5491 


5556 


5621 


5686 


5751 


5815 


5880 


5945 


6010 


65 


670 


826075 


6140 


6204 


6269 


6334 


6399 


6464 


6528 


6593 


6658 


65 


671 


6723 


6787 


6852 


6917 


6981 


7046 


7111 


7175 


7240 


7305 


65 


672 


7369 


7434 


7499 


7563 


7628 


7692 


7757 


7821 


7886 


7951 


65 


G73 


8015 


8080 


8144 


8209 


8273 


8338 


8402 


8467 


8531 


8595 


64 


674 


8660 


8724 


8789 


8853 


8918 


8982 


9046 


9111 


9175 


9239 


64 


675 


9304 


9368 


9432 


9497 


9561 


9625 


9690 


9754 


9818 


9882 


64 


676 


9947 


..11 


..75 


.139 


.204 


.288 


.332 


•396 


.460 


.525 


64 


677 


830589 


0653 


0717 


0781 


0845 


0909 


0973 


1037 


1102 


1166 


64 


678 


1230 


1294 


1358 


1422 


1486 


1550 


1614 


1678 


1742 


1806 


m 


679 
680 


1870 


1934 
2573 


1998 
2637 


2062 
2700 


2126 
2764 


2189 

2828 


2253 
2892 


2317 
2958 


2381 
3020 


2445 
3083 


64 
64 


832509 


681 


3147 


3211 


3275 


3338 


3402 


3466 


3530 


3593 


3657 


3721 


64 


682 


3784 


3848 


3912 


3975 


4039 


4103 


4166 


4230 


4294 


4357 


64 


683 


4421 


4484 


4548 


4611 


4675 


4739 


4802 


4866 


4929 


4993 


64 


684 


5056 


5120 


5183 


5247 


5310 


5373 


5437 


5500 


5564 


5627 


63 


685 


5691 


5754 


5817 


5881 


5944 


6007 


6071 


6134 


6197 


6261 


63 


686 


6324 


6387 


6451 


6514 


6577 


6641 


6704 


6767 


6830 


6894 


63 


687 


6957 


7020 


7083 


7146 


7210 


7273 


7336 


7399 


7462 


7525 


63 


688 


7588 


7652 


7715 


7778 


7841 


7904 


7967 


803C 


8093 


81.56 


63 


689 


8219 


8282 


8345 


8408 


8471 


8534 


8597 


8660 


8723 


8786 


63 


690 


838849 


8912 


8975 


9038 


9101 


9164 


9227 


9289 


9352 


9415 


63 


691 


9478 


9541 


9604 


9667 


9729 


9792 


9855 


9918 


9981 


..4:^ 


63 


692 


840106 


0169 


0232 


0294 


0357 


0420 


0482 


0.545 


0608 


0671 


63 


693 


0733 


0796 


0859 


0921 


0984 


1046 


1109 


1172 


1234 


T297 


63 


694 


1359 


1422 


1485 


1547 


1610 


1672 


1735 


1797 


1860 


1922 


63 


695 


1985 


2047 


2110 


2172 


2235 


2297 


2360 


2422 


2484 


2547 


62 


696 


2609 


2672 


2734 


2796 


2859 


2921 


2983 


3046 


3108 


3170 


62 


697 


3233 


3295 


3357 


3420 


3482 


3544 


3606 


3669 


.3731 


3793 


^62 


698 


3855 


3918 


3980 


4042 


4104 


4166 


4229 


4291 


4353 


4415 


<-62 


699 


4477 


4539 


4601 


4664 


4726 


4788 


4850 


4912 


4974 


5036 


62 


t N. 


I |I|2|3|4|5|6|7|8|9|D. 1 



12 


A TABLE OF lOGARITHSIS FKOM 1 


TO 1 


o,ooc 


, 




N. 1 ! 1 1 2 1 3 1 4 I 5 1 6 1 7 1 8 1 9 1 D. 1 


700 


845098 


5160 


5222 


5284 


5346 


5408 1 5470 


5532 


5594 


5656i 62 1 


701 


5718 


5780 


5842 


5904 


5966 


6028 


6090 


6151 


6213 


6275 


62 


702 


6337 


6399 


6461 


6523 


6585 


6646 


6708 


6770 


6832 


6894 


62 


703 


6955 


7017 


7079 


7141 


7202 


7264 


7320 


7388 


7449 


7511 


62 


704 


7573 


7634 


7696 


7758 


7819 


7881 


7943 


8004 


8066 


8128 


62 


705 


8189 


8251 


8312 


8374 


8435 


8497 


8559 


8620 


8682 


8743 


62 


706 


8805 


8866 


8928 


8989 


9051 


9112 


9174 


9235 


9297 


9358 


61 


707 


9419 


9481 


9542 


9604 


9665 


9726 


9788 


9849 


9911 


9972 


61 


708 


850033 


0095 


0156 


0217 


0279 


0340 


0401 


0462 


0524 


0585 


61 


709 
710 


0646 

851258 


0707 
1320 


0769 


0830 


0891 


0952 


1014 
1625 


1075 


1136 
1747 


1197 
1809 


61 
61 


1381 


1442 


1503 


1564 


1686 


711 


1870 


1931 


1992 


2053 


2114 


2175 


2236 


2297 


2358 


2419 


61 


712 


2480 


2541 


2602 


2663 


2724 


2785 


2846 


2907 


2968 


3029 


61 


713 


3090 


3150 


3211 


3272 


3333 


3394 


3455 


35 1 6 


3577 


,3637 


61 


714 


3698 


3759 


3820 


3881 


3941 


4002 


4063 


4124 


4185 


4245 


61 


715 


4306 


4367 


4428 


4488 


4549 


4610 


4670 


4731 


4792 


4852 


61 


716 


4913 


4974 


5034 


5095 


5156 


5216 


5277 


5337 


5398 


5459 


61 


717 


5519 


5580 


5640 


5701 


5761 


5822 


5882 


5943 


6003 


6064 


61 


718 


6124 


6185 


6245 


6306 


6366 


6427 


6487 


6548 


6608 


6668 


60 


719 
720 


6729 
857332 


6789 


6850 


6910 
7513 


6970 


7031 
7634 


7091 
7694 


7152 


7212 
7815 


7272 


60 
60 


7393 


7453 


7574 


7755 


7875 


721 


7935 


7995 


8056 


8116 


8176 


8236 


8297 


8357 


8417 


8477 


60 


722 


8537 


8597 


8657 


8718 


8778 


S838 


8898 


8958 


9018 


9078 


60 


723 


9138 


9198 


9258 


9318 


9379 


9439 


9499 


9559 


9619 


9679 


60 


724 9739 


9799 


9859 


9918 


9978 


..38 


..98 


.158 


.218 


.278 


60 


725 


860338 


0398 


0458 


0518 


0578 


0637 


0697 


0757 


0817 


0877 


60 


726 


0937 


0996 


1056 


1116 


1176 


1236 


1295 


1355 


1415 


1475 


60 


727 


1534 


1594 


1654 


1714 


1773 


1833 


1893 


1952 


2012 


2072} 601 


728 


2131 


2191 


2251 


2310 


2370 


2430 


2489 


2549 


2608 


2668 


60 


729 
'730 


2728 


2787 


2847 


2906 
3501 


2966 


3025 
3620 


3085 


3144 
3739 


3204 
3799 


3263 

3358 


60 

59 


863323 


3382 


3442 


3561 


3080 


731 


3917 


3977 


4036 


4096 


4155 


4214 


4274 


4333 


4392 


4452 


59 


732 


4511 


4570 


4630 


4689 


4748 


4808 


4867 


4926 


4985 


5045 


59 


733 


5104 


5163 


5222 


5282 


5341 


5400 


5459 


5519 


5578 


5637 


69 


734 


5696 


5755 


5814 


5874 


5933 


5992 


6051 


6110 


6169 


6223 


59 


735 


6287 


6346 


6405 


6465 


6524 


6583 


6642 


6701 


6760 


6819 


59 


736 


6878 


6937 


6996 


7055 


7114 


7173 


7232 


7291 


7350 


7409 


59 


737 


7467 


7526 


7585 


7644 


7703 


7762 


7821 


7880 


7939 


7998 


59 


738 


8056 


8115 


8174 


8233 


8292 


8350 


8409 


8468 


8527 


8586 


59 


739 
740 


8644 


8703 
9290 


8762 


8821 


8879 
9466 


8938 
9525 


8997 


9056 


9114 


9173 
9760 


59 
59 


869232 


9349 


9408 


9584 


9642 


9701 


741 


9818 


9877 


9935 


9994 


..53 


• 111 


.170 


.228 


.287 


.345 


59 


742 


870404 


0462 


0521 


0579 


0638 


0696 


0755 


0813 


0872 


0930 


58 


743 


0989 


1047 


1106 


1164 


1223 


1281 


1339 


1398 


1456 


1515 


58 


744 


1573 


1631 


1690 


1748 


1806 


1865 


1923 


1981 


2040 


2098 


58 


745 


2156 


2215 


2273 


2331 


2389 


2448 


2506 


2564 


2622 


2681 


58 


746 


2739 


2797 


2855 


2913 


2972 


3030 


3088 


3146 


3204 


3262 


58 


747 


3321 


3379 


3437 


3495 


3553 


3611 


3669 


3727 


3785 


3844 


58 


748 


3902 


3960 


4018 


4076 


4134 


4192 


4250 


4308 


4366 


4424 


58 


749 
750 


4482 


4540 


4598 


4656 


4714 
5293 


4772 
5351 


4830 
5409 


4888 
5466 


4945 
5524 


5003 

5582 


58 
58 


875061 


5119 


5177 


5235 


751 


5640 


5698 


5756 


5813 


5871 


5929 


5987 


6045 


6102 


6160 


58 


752 


6218 


6276 


6333 


6391 


6449 


6507 


6564 


6622 


6680 


6737 


58 


753 


6795 


6853 


6910 


6968 


7026 


7083 


7141 


7199 


7256 


7314 


58 


754 


7371 


7429 


7487 


7544 


7602 


7659 


7717 


7774 


7832 


7889 


58 


755 


7947 


8004 


8062 


8119 


8177 


8234 


8292 


8349 


8407 


8464 


57 


756 


8522 


8579 


8637 


8694 


8752 


8809 


8866 


8924 


8981 


9039 


57 


757 


9096 


9153 


9211 


9268 


9325 


9383 


9440 


9497 


9555 


9612 


67 


758 


9669 


9726 


9784 


9841 


9898 


9956 


..13 


..70 


.127 


.185 


67 


759 


880242 


0299103561 


0413 


0471 


0528 


05851 


0642 


0699 


0756 


57 


N. 1 |l|2|3|4|5|6|7i8|9!D. 1 





A TABLE OF LOGAEITHMS FROM 1 


TO IC 


),000 




13 


N. 


1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 ! D. 1 


760 


880814.0871, 


0928 0985 


1042 


1099 


1156 


1213 


1271 


1328 


67 


761 


1385 


1442 


1499 


1556 


1613 


1670 


1727 


1784 


1841 


1898 


57 


762 


1955 


2012 


2069 


2126 


2183 


2240 


2297 


2354 


2411 


2468 


57 


763 


2525 


2581 


2638 


2695 


2752 


2809 


2866 


2923 


2980 


3037 


57 


764 


3093 


3150 


3207 


3264 


3321 


3377 


3434 


3491 


3548 


3605 


67 


765 


3661 


3718 


3775 


3832 


3888 


3945 


4002 


4059 


4116 


4172 


57 


766 


4229 


4285 


4342 


4399 


4455 


4512 


4569 


4625 


4682 


4739 


57 


767 


4795 


4852 


4909 


4965 


5022 


5078 


5135 


5192 


5248 


6305 


57 


768 


5361 


5418 


5474 


5531 


5587 


5644- 


5700 


5757 


5813 


6870 


57 


769 
770 


5926 


5983 


6039 


6096 


6152 
6716 


6209 


6265 


6321 


6378 


6434 


56 
66 


886491 ! 


6547 


6604 


6660 


6773 


6829 


6885 


6942 


6998 


771 


70541 


7111 


7167 


7223 


7280 


7336 


7392 


7449 


7506 


7561 


66 


772 


7617 


7674 


7730 


7786 


7842 


7898 


7955 


8011 


8067 


8123 


66 


773 


8179 


8236 


8292 


8348 


8404 


8460 


8516 


8573 


8629 


8686 


56 


774 


8741 


8797 


8853 


8909 


8965 


9021 


9077 


9134 


9190 
9750 


9246 


66 


775 


9302 


9358 


9414 


9470 


9526 


9582 


9638 


9694 


9806 


66 


776 


98621 


9918 


9974 


..30 


..86 


.141 


.197 


.253 


.309 


.365 


56 


777 


890421 


0477 


0533 


0.589 


0645 


0700 


0756 


0812 


0868 


0924 


66 


778 


0980 


1035 


1091 


1147 


1203 


1259 


1314 


1370 


1426 


1482 


66 


779 
780 


1537 
892095 


1593 


1649 
2206 


1705 
2262 


1760 
2317 


1816 
2373 


1872 
2429 


1928 


1983 


2039 


56 
66 


2150 


2484 


2540 


2595 


781 


2651 


2707 


2762 


2818 


2873 


2929 


2985 


3040 


3096 


3161 


56 


782 


3207 


3262 


3318 


3373 


3429 


3484 


3540 


3595 


3651 


3706 


56 


783 


3762 


3817 


3873 


3928 


3984 


4039 


4094 


4150 


4205 


4261 


66 


784 


4316 


4371 


4427 


4482 


4538 


4593 


4648 


4704 


4759 


4814 


55 


785 


4870 


4925 


4980 


5036 


5091 


5146 


6201 


6257 


5312 


6367 


66 


786 


5423 


5478 


5533 


5588 


6644 


5699 


5754 


.5809 


5864 


5920 


66 


787 


6975 


6030 


6085 


6140 


6195 


6251 


6306 


6361 


6416 


6471 


66 


788 


6526 


6581 


6636 


6692 


6747 


6802 


6857 


6912 


6967 


7022 


66 


789 
790 


7077 
897627 


7132 


7187 


7242 


7297 


7352 


7407 


7462 


7517 


7572 


65 
66 


7682 


7737 


7792 


7847 


7992 


7957 


8012 


8067 


8122 


791 


8176 


8231 


8286 


8341 


8396 


8451 


8606 


8561 


8615 


8670 


56 


792 


8725 


8780 


8835 


8890 


8944 


8999 


9054 


9109 


9164 


9218 


66 


793 


9273 


9328 


9383 


9437 


9492 


9547 


9602 


9656 


9711 


9766 


66 


794 


98211 


9875 


9930 


9985 


..39 


..94 


.149 


.203 


.258 


.312 


65 


795 


900367] 


0422 


0476 


0531 


0586 


0640 


0695 


0749 


0804 


0859 


56 


T96 


0913i 


0968 


1022 


1077 


1131 


1186 


1240 


1295 


1349 


1404 


65 


797 


1458 


1513 


1567 


1622 


1676 


1731 


1785 


1840 


1894 


1948 


64 


798 


2003 


2057 


2112 


2166 


2221 


2275 


2329 


2384 


2438 


2492 


54 


799 
800 


2547 


2601 


2655 


2710 


2764 
3307 


2818 


2873 


2927 
3470 


2981 
3524 


3036 
3678 


54 
64 


903090 


3144 


3199 


3253 


3361 


3416 


801 


3633 


3687 


3741 


3795 


3849 


3904 


3958 


4012 


4066 


4120 


54 


802 


4174 


4229 


4283 


4337 


4391 


4445 


4499 


4653 


4607 


4661 


54 


803 


4716 


4770 


4824 


4878 


4932 


4986 


5040 


5094 


6148 


6202 


54 


804 


5256 


5310 


5364 


.5418 


5472 


5526 


5580 


6634 


6688 


6742 


54 


805 


5796 


5850 


5904 


5958 


6012 


6066 


6119 


6173 


6227 


6281 


64 


806 


6335 


6389 


6443 


6497 


6551 


6604 


6658 


6712 


6766 


6820 


54 


807 


6874 


6927 


6981 


7035 


7089 


7143 


7196 


7250 


7304 


7368 


64 


806 


7411 


7465 


7519 


7573 


7626 


7680 


7734 


7787 


7841 


7895 


64 


809 
810 


7949 
908485 


8002 
8539 


8056 
8592 


8110 


8163 


8217 


8270 


8324 


8378 
8914 


8431 
8967 


64 
54 


8646 


8699 


8753 


8807 


8860 


811 


9021 


9074 


9128 


9181 


9235 


9289 


9342 


9396 


9449 


9603 


64 


812 


9556 


9610 


9663 


9716 


9770 


9823 


9877 


9930 


9984 


..37 


53 


813 


910091 


0144 


0197 


0251 


0304 


0358 


0411 


0464 


0518 


0571 


63 


814 


0624 


0678 


0731 


0784 


0838 


0891 


0944 


0998 


1051 


1104 


63 


815 


1158 


1211 


1264 


1317 


1371 


1424 


1477 


1 630 


1.584 


16.37 


63 


816 


1690 


1743 


1797 


1850 


1903 


1956 


2009 


2063 


2116 


2169 


63 


81Y 


2222 


2275 


2328 


2381 


2435 


2488 


2541 


2694 


2647 


2700 


63 


818 


2753 


2806 


2859 


2913 


2966 


3019 


3072 


3125 


3178 


3231 


63 


819 


3284 


3337 


3390 


3443 


3496 


3549 


13602 


3655 


3708 


3761 


63 


N. 


i ll|2|3|4!5|6l7i8|9|D. 1 



14 



A TABLE OF LOGARITHMS FBOM 1 TO 10,000. 



"n. 


1 1 ' 2 ' 3 ! 4' 5 ! 6 I 7 ; 8 i 9 D. | 


'820 


9 138 14 3S67 


3920 


3973 4026 


4079 4132 41S4 4237 


4290 


53 


821 


4343 


4396 


4449 


4502 


4555 


4608 


4660 


4713 


4766 


4819 


53 


822 


4S72 


4925 


4977 


5030 


50S3 


5136 


51S9 


5241 


5294 


5347 


53 


823 


5400 


5453 


5505 


5558 


5611 


5664 


5716 


5769 


5822 


5375 


53 


824 


5927 


59S0 


6033 


6085 


6138 


6191 


6243 


6296 


6349 


6401 


53 


825 


6454 


6507 


6559 


6612 


6664 


6717 


6770 


6822 


6875 


6927 


53 


826 


6980 


7033 


7085 


7138 


7190 


7243 


7295 


7348 


7400 


7453 


53 


827 


7506 


755S 


7611 


7663 


7716 


776S 


7320 


7873 


7925 


7978 


52 


828 


8030 


S0S3 


8135 


S13S 


8240 


8293 


8345 


8397 


8450 


8502 


52 


829 


8555 


S607 


8659 


S 7 i 2 


8764 


SS16 


8869 


S921 


8973 


9026 


52 


830 


919078 


9130 


91 S3 


9235 


92S7 


9340 


9392 


9444 


9496 


9549 


52 


831 


96011 


9653 


9706 


975S 


9S10 


9S62 


9914 


9967 


..19 


..71 


52 


S32 


920123 


0176 


022^ 


0230 


0332 


03S4 


0436 


0489 


0541 


0593 


52 


833 


0645 


0697 


0749 


OSOl 


OS 53 


0906 


0958 


1010 


1062 


1114 


52 


834 


1168 


121S 


1270 


1322 


1374 


1426 


147S 


1530 


1582 


1634 


52 


835 


16S6 


173S 


1790 


1S42 


1S94 


1946 


1993 


2050 


2102 


21.54 


52 


836 


2206 


2258 


2310 


2362 


2414 


2466 


2518 


2570 


2622 


2674 


52 


837 


2725 


2777 


2.^29 


2^81 


2933 


2985 


3037 


3089 


3140 


3192 


52 


838 


3244 


3296 


3348 


3399 


3451 


3503 


3555 


3607 


3658 


3710 


52 


839 


3762 


3S14 


3S65 


3917 


3969 


4021 


4072 


4124 


4176 


4228 


52 


840 


924279 


4331 


43S3 


4.434 


44S'^ 


45 33 


45 S 9 


4641 


4693 


4744 


52 


841 


4796 


4348 


4S99 


4951 


5003 


5054 


5108 


5157 


5209 


5261 


52 


842 


5312 


5364 


5415 


5467 


5518 


5570 


5621 


5673 


5725 


5776 


52 


843 


5828 


'5879 


5931 


59S2 


6034 


6085 


6137 


6188 


6240 


6291 


51 


844 


6342 


6394 


6-U5 


6497 


654S 


6600 


6651 


6702 


6754 


6805 


51 


845 


6857 


690S 


6959 


7011 


7062 


7114 


7165 


7216 


7268 


7319 


51 


846 


7370 


7422 


7473 


7524 


7578 


7627 


7678 


7730 


7781 


7832 


51 


847 


7383 


7935 


79S5 


S037 


8088 


8140 


8191 


S242 


8293 


8345 


51 


848 


8396 


8447 


8498 


S549 


8601 


8652 


8703 


8754 


8805 


8S57 


51 


849 


8908 


8959 


9010 


9061 


9112 


9163 9215 


9266 


9317 


9368 


51 


850 


929419 


9470 


9521 


9572 


9623 


9674 


9725 


9776 


9S27 


9S79 


51 


851 


9930 


9981 


.,32 


..83 


.134 


.185 


.236 


.287 


.338 


.389 


51 


852 


930440 


0491 


0542 


0592 


0643 


0694 


0745 


0796 


0847 


0893 


51 


853 


0949 


1000 


1051 


1102 


1153 


1204 


1254 


1305 


1356 


1407 


51 


854 


1458 


1509 


1560 


1610 


1661 


1712 


1763 


1814 


1865 


1915 


51 


855 


1966 


2017 


2068 


2118 


2169 


2220 


2271 


2322 


2372 


2423 


51 


856 


2474 


2524 


2575 


2626 


2877 


2727 


2778 


2829 


2879 


2930 


51 


857 


2981 


3031 


30 S 2 


3133 


3183 


3234 


3285 


3335 


33S6 


3437 


51 


858 


3487 


353S 


35S9 


3639 


3690 


3740 


3791 


3841 


3392 


3943 


51 


859 


3993 


4044 


4094 


4145 


4195 


4246 


4296 


4347 


4397 


4443 


51 


860 


93449S 


4549 


4599 


4650 


4700 


4751 


4S01 


4S52 


4902 


4953 


50 


861 


5003 


5054 


5104 


5154 


5205 


5255 


5306 


5356 


5406 


5457 


50 


862 


5507 


5558 


5603 


5653 


5709 


5759 


5S09 


5S60 


5910 


5960 


50 


863 


6011 


6081 


6111 


6162 


6212 


6262 


6313 


6363 


6413 


6463 


50 


864 


6514 


6564 


6614 


6665 


6715 


6765 


68 15 


6865 


6916 


6966 


50 


865 


7016 


7066 


7117 


7167 


7217 


7267 


7317 


7367 


7418 


7468 


50 


866 


7518 


7568 


76 IS 


7663 


7718 


7769 


7819 


7869 


7919 


7969 


50 


867 


8019 


8069 


8119 


8169 


8219 


8269 


8320 


8370 


S420 


8470 


50 


868 


8520 


8570 


8620 


8670 


8720 


8770 


8S20 


8870 


8920 


8970 


50 


869 


9020 


9070 


9120 


9170 


9220 


9270 


9320 


9369 


9419 


9469 


50 


870 


939519 


9569 


9619 


9669 


9719 


9769 


9S19 


9S69 


9918 


9968 


50 


871 


940018 


006S 


Oil* 


016S 


021S 


0267 


0317 


0367 


0417 


0467 


50 


872 


0516 


0566 


0616 


0666 


0716 


0765 


OS 15 


0865 


0915 


0964 


50 


873 


1014 


1064 


1114 


1163 


1213 


1263 


1313 


1362 


1412 


1462 


50 


874 


1511 


1561 


1611 


1660 


1710 


1760 


1S09 


1S59 


1909 


1958 


50 


875 


200S 


205S 


2107 


2157 


2207 


2256 


2306 


2355 


2405 


24.55 


50 


876 


250-i 


2554 


2603 


2653 


2702 


2752 


2801 


285 1 


2901 


2950 


50 


-877 


3000 


3049 


3099 


3148 


3198 


3247 


3297 


3346 


3396 


3445 


49 


878 


3495 


3544 


3593 


3643 


3692 


3742 


3791 


3S41 


3S90 


3939 


49 


879 


39S9 


4038^ 4088 


4137 


4186 


4236 


4235 


4335 


43S4 4433' 49 J 


N. 


i 1 1 1 2 1 3 1 4 i 5 


6 


7 


8 


9_ 


^ 



A TABLE OF LOGARITHMS FRO^l 1 TO 10,000. 



15 



N. 1 |l|2|3|4|5|6|7|8|9| 


D.( 


880 


944483 


4532 


4581 46311 


4680 


4729 


4779 


4828 


4877 


4927 49 


SHI 


4976 


5025 


5074 


5124 


5173 


5222 


5272 


5321 


5370 


5419 49 


882 


5469 


5518 


5567 


5616 


5665 


5715 


5764 


5813 


5862 


5912 


49 


883 


5961 


6010 


6059 


6108 


6157 


6207 


6256 


6305 


6354 


6403 


49 


884 


6452 


6501 


6551 


6600 


6649 


6698 


6747 


6796 


6845 


6894 


49 


885 


6943 


6992 


7041 


7090 


7140 


7189 


7238 


7287 


7336 


V38b 


49 


886 


7434 


7483 


7532 


7581 


7630 


7679 


7728 


7777 


7826 


7875 


49 


887 


7924 


7973 


8022 


8070 


8119 


8168 


8217 


8266 


8315 


8364 


49 


888 


8413 


8462 


8511 


8560 


8609 


8657 


8706 


8755 


8804 


8853 


49 


889 
890 


8902 


8951 
9439 


8999 

9488 


9048 
9536 


9097 
9585 


9146 
9634 


9195 
9683 


9244 
9731 


9292 
9780 


9341 
9829 


49 
49 


949390 


891 


9878 


9926 


9975 


..24 


..73 


.121 


.170 


.219 


.267 


.316 


49 


892 


950365 


0414 


0462 


0511 


0560 


0608 


0657 


0706 


0754 


0803 


49 


893 


0851 


0900 


0949 


0997 


1046 


1095 


1143 


1192 


1240 


1289 


49 


894 


1338 


1386 


1435 


1483 


1532 


1580 


1629 


1677 


1V26 


1775 


49 


895 


1823 


1872 


1920 


1969 


2017 


2066 


2114 


2163 


2211 


2260 


48 


896 


2308 


2356 


2405 


2453 


2502 


2550 


2599 


2647 


2696 


2744 


48 


897 


2792 


2841 


2889 


2938 


2986 


3034 


3083 


3131 


3180 


3228 


48 


898 


3276 


3325 


3373 


3421 


3470 


3518 


3566 


3615 


3663 


3711 


48 


899 
900 


3760 


3808 
4291 


3856 
4339 


3905 
4387 


3953 
U35 


4001 
4484 


4049 
4532 


4098 
4580 


4146 
4628 


4194 
4677 


48 
48 


954243 


901 


'4725 


4773 


4821 


4869 


4918 


4966 


5014 


5062 


5110 


5158 


48 


902 


5207 


5255 


5303 


5.351 


5399 


5447 


5495 


5543 


5592 


5640 


48 


903 


5688 


5736 


5784 


.5832 


5880 


5928 


5976 


6024 


6072 


6120 


48 


904 


6168 


6216 


6285 


6313 


6361 


6409 


6457 


6505 


6553 


6601 


48 


905 


6649 


6697 


6745 


6793 


6840 


6888 


6936 


6984 


7032 


7080 


48 


906 


712S 


7176 


7224 


7272 


7320 


7368 


7416 


7464 


7512 


7559 


48 


907 


7607 


7655 


7703 


7751 


7799 


7847 


7894 


7942 


7990 


8038 


48 


908 


8086 


8134 


8181 


8229 


8277 


8325 


8373 


8421 


8468 


8516 


48 


909 
910 


8564 


8612 
9089 


8659 
9137 


8707 
9185 


8755 
9232 


8803 
9280 


8850 
9328 


8898 
9375 


8946 
9423 


8994 
9471 


48 
48 


959041 


911 


9618 


9566 


9614 


9661 


9709 


9757 


9804 


9852 


9900 


9947 


48 


912 


9995 


..42 


..90 


.138 


.185 


.233 


.280 


.328 


.376 


.423 


48 


913 


960471 


0518 


0566 


0613 


0661 


0709 


0756 


0804 


0851 


0899 


48 


914 


0946 


0994 


1041 


1089 


1136 


1184 


1231 


1279 


1326 


1374 


47 


915 


1421 


1469 


1516 


1563 


1611 


1658 


1706 


1753 


1801 


1848 


47 


916 


1895 


1943 


1990 


2038 


2085 


2132 


2180 


2227 


2275 


2322 


47 


917 


2369 


2417 


2464 


2511 


2559 


2606 


2653 


2701 


2748 


2795 


47 


918 


2843 


2890 


2937 


2985 


3032 


3079 


3126 


3174 


3221 


3268 


47 


919 
920 


3316 
963788 


3363 

3835 


3410 

3882 


3457 
3929 


3504 
3977 


3552 


3599 


3646 
4118 


3693 
4165 


3741 
4212 


47 
47 


4024 


4071 


921 


4260 


4307 


4354 


4401 


4448 


4495 


4542 


4590 


4637 


4684 


47 


922 


4731 


4778 


4825 


4872 


4919 


4966 


5013 


.5061 


5108 


5155 


47 


923 


5202 


5249 


5296 


5343 


5390 


5437 


5484 


5531 


5578 


5625 


47 


924 


5672 


5719 


5766 


5813 


.5860 


5907 


5954 


6001 


6048 


6095 


47 


925 


6142 


6189 


6236 


6283 


6329 


6376 


6423 


6470 


6517 


6.564 


47 


926 


6611 


6658 


6705 


6752 


6799 


6845 


6892 


6939 


6986 


7033 


47 


927 


7080 


7127 


7173 


7220 


7267 


7314 


7361 


7408 


7454 


7501 


47 


928 


7548 


7595 


7642 


7688 


7735 


7782 


7829 


7875 


7922 


7969 


47 


929 
930 


8016 


8062 
8.530 


8109 
8576 


8156 
8623 


8203 
8670 


8249 
8716 


8296 
8763 


8343 

8810 


8390 
8856 


8436 
8903 


47 
47 


968483 


931 


8950 


8996 


9043 


9090 


9136 


9183 


9229 


9276 


9323 


9369 


47 


932 


9416 


9463 


9509 


9556 


9602 


9649 


9695 


9742 


9789 


9835 


47 


933 


9882 


9928 


9975 


..21 


..68 


AU 


.161 


.207 


.2.54 


.300 


47 


934 


970347 


0393 


0440 


0486 


0533 


0579 


0626 


0672 


0719 


0765 


46 


935 


0812 


0858 


0904 


0951 


0997 


1044 


1090 


1137 


1183 


1229 


46 


936 


1276 


1322 


1369 


1415 


1461 


1508 


1.554 


1601 


1647 


1693 


46 


937 


1740 


1786 


1832 


1879 


1925 


1971 


2018 


2064 


2110 


2157 


46 


938 


2203 


2249 


2295 


2342 


2388 


2434! 2481 


2.527 


2573 


2619 


46 


939 


26661 2712' 2758 


2804 


2851 


2897' 2943 


2989 


3035 


3082' '46 1 


N. 1 |l|2|3|4l5|6|7|8|9|D. 1 



16 



A TAELE OF LOGARITHMS FBOM 1 TO 10.000. 



N. 


|li2i3i4'5!6;7!8!9|D. j 


940 


97312S 


317-i 


3220 


3C66 


3313 


3359 


3405 


3451' 3497 


3543 


46 


941 


3590 


3636 


36S2 


3728 


3774 


3820 


3866 


3913 


3959 


4005 


46 


942 


4051 


4097 


4143 


4189 


4235 


4281 


4327 


4374 


4120 


4466 


46 


943 


4512 


4558 


4604 


4650 


4696 


4742 


4788 


4834 


4880 


4926 


46 


944 


4972 


5018 


5064 


5110 


5156 


5202 


5248 


5294 


5340 


5386 


46 


945 


5432 


5478 


5524 


5570 


5616 


5662 


5707 


5753 


5799 


5845 


46 


946 


6891 


5937 


5983 


6029 


6075 


6121 


6167 


6212 


6258 


6304 


45 


947 


6350 


6396 


6442 


64S8 


6533 


6579 


6625 


6671 


6717 


6763 


46 


948 


6808 


6854 


6900 


6948 


6992 


7037 


7033 


7129 


7175 


7220 


46 


949 


7266 


7312 


7358 


7403 


7-U9 


7495 


7541 


7586 


7632 


7678 


46 


950 


977724 


7769 


7815 


7861 


7906 


7952 


7998 


8043 


3089 


8135 


46 


951 


8181 


8226 


8272 


8317 


8363 


S409 


3454 


8500 


8546 


8591 


46 


953 


8637 


8683 


S728 


8774 


8819 


8865 


8911 


8956 


9002 


9047 


46 


953 


9093 


9138 


9184 


9230 


9275 


9321 


9366 


9412 


9457 


9503 


46 


954 


9548 


9594 


9639 


9685 


9730 


9776 


9821 


9867 


9912 


9958 


46 


955 


980003 


0049 


0094 


0140 


0185 


0231 


0276 


0322 


0367 


0412 


45 


956 


0458 


0503 


0549 


0594 


0640 


0685 


0730 


0776 


0821 


0367 


45 


957 


0912 


0957 


1003 


1048 


1093 


1139 


1184 


1229 


1275 


1320 


45 


958 


1366 


1411 


1456 


1501 


1547 


1592 


1637 


1633 


1728 


1773 


45 


959 
960 


1819 


1864 
2316 


1909 
2362 


1954 
2407 


2000 
2452 


2045 
2497 


2090 
2543 


2135 
2588 


2181 
2633 


2226 

2678 


45 
45 


982271 


961 


2723 


2769 


2814 


2859 


2904 


2949 


2994 


3040 


3085 


3130 


45 


962 


3175 


3220 


3265 


3310 


3356 


3401 


3446 


3491 


3536 


3581 


45 


963 


3626 


3671 


3716 


3762 


3807 


3852 


3897 


3942 


3987 


4032 


45 


964 


4077 


4122 


4167 


4212 


4257 


4302 


4347 


4392 


4437 


44S2 


45 


965 


4527 


4572 


4617 


4662 


4707 


4752 


4797 


4842 


4887 


4932 


45 


966 


4977 


5022 


5067 


5112 


5157 


5202 


5247 


5292 


5337 


5382 


45 


967 


5426 


5471 


5516 


5561 


5606 


5651 


5696 


5741 


5786 


5330 


45 


968 


5875 


5920 


5985 


6010 


6055 


6100 


6144 


6189 


6234 


6279 


45 


969 


6324 


6339 


6413 


645S 


6503 


654S 


6593 


6637 


66S2 


6727 


45 


970 


986772 


6817 


6861 


6906 


6951 


6996 


7040 


7035 


7130 


7175 


45 


971 


7219 


7264 


7309 


7353 


7398 


7443 


7438 


7532 


7577 


7622 


45 


972 


7666 


7711 


7756 


7S00 


7845 


7890 


7934 


7979 


8024 


8068 


45 


973 


8113 


8157 


S202 


8247 


8291 


8336 


8381 


8425 


8470 


8514 


45 


974 


8559 


8604 


8648 


8693 


8737 


■8782 


3826 


8871 


8916 


8960 


45 


975 


9005 


9049 


9094 


9138 


9183 


9227 


9272 


9316 


9361 


9405 


45 


976 


9450 


9494 


9539 


9583 


9828 


9672 


9717 


9761 


9806 


9850 


-44 


977 


9895 


9939 


99S3 


..28 


..72 


.117 


.161 


.206 


.250 


.294 


44 


978 


990339 


0333 


0428 


0472 


0516 


0561 


0605 


0650 


0694 


0733 


44 


979 


0783 


0827 


0871 


0915 


0960 


1004 


1049 


1093 


1137 


1182 


44 


9S0 


991226 


1270 


1315 


1359 


1403 


1443 


1492 


1536 


1580 


1625 


44 


981 


1669 


1713 


1758 


1802 


1846 


1890 


1935 


1979 


2023 


2067 


44 


982 


2111 


2156 


2200 


2244 


2288 


2333 


2377 


2421 


2465 


2509 


44 


983 


2554 


2593 


2642 


2636 


2730 


2774 


2819 


2863 


2907 


2951 


44 


984 


2995 


3039 


3083 


3127 


3172 


3216 


3260 


3304 


3348 


3392 


44 


985 


3436 


3480 


3524 


3568 


3613 


3657 


3701 


3745 


3789 


3333 


44 


986 


3877 


3921 


3965 


4009 


4053 


4097 


4141 


4185 


4229 


4273 


44 


987 


4317 


-4361 


4405 


4449 


4493 


4537 


4581 


4625 


4669 


4713 


44 


988 


4757 


4301 


4S45 


4889 


4933 


4977 


5021 


5065 


5108 


5152 


44 


989 


5196 


5240 


5284 


5328 


5372 


5416 


5460 


5504 


5547 


5591 


44 


990 


995635 


5679 


5723 


5767 


5811 


5854 


5898 


5942 


5986 


6030 


44 


991 


6074 


6117 


6161 


6205 


6249 


6293 


6337 


6380 


6424 


6468 


44 


992 


6512 


6555 


6599 


6643 


6687 


6731 


6774 


6818 


6862 


6906 


44 


993 


6949 


6993 


7037 


7080 


7124 


7168 


7212 


7255 


7299 


7343 


44 


994 


73S6 


7430 


7474 


7517 


7561 


7605 


7648 


7692 


7736 


7779 


44 


995 


7823 


7867 


7910 


7954 


7998 


8041 


8085 


8129 


8172 


8216 


44 


996 


8259 


8303 


8347 


8390 


8434 


8477 


8521 


8564 


8608 


8652 


44 


997 


8695 


8739 


8782 


S826 


8869 


8913 


8956 


9000 


9043 


9087 


44 


998 


9131 


9174 


9218 


9261 


9305 


9348 


9392 


9435 


9479 


9522 


44 


999 


9565 


9809 


9652 


960F. 


9739 


9783 


9826 


98 70! 9913 


9957 


43 


N. 


1 |l|2|3i4|5i6i7|8!9|D. I 



A TABLE 



OF 



LOGARITHMIC 
SINES AND TANGENTS, 



FOR EVERY 



DEGREE AND MINUTE 



OP THE QUADRANT. 



N.B. The minutes in the left-hand column of each page, 
increasing downwards, belong to the degrees at the top ; and 
those increasing upwards, in the right-hand column, belong to 
the degrees below. 



^18 


( 


Degree.) a tab] 


LE or LOG 


ARITHMIC 




M. 


1 Sine 1 D. 


C -aiue 1 D. 


Tang. 


D 


Cotan;^. 1 1 





0.000000 




10.000000 




0.000000 




l/liiiUli; 


60 


1 


6.463726 


501717 


000000 


00 


6.463726 


501717 


13.536274 


59 


2 


764756 


293485 


000000 


00 


764756 


293483 


235244 


58 


3 


940847 


208231 


000000 


00 


940847 


208231 


059153 


57 


4 


7.065786 


161517 


000000 


00 


7.065786 


161517 


12.934214 


56 


5 


162696 


131968 


000000 


00 


162696 


131969 


837304 


55 


6 


241877 


111575 


9.999999 


01 


241878 


111578 


758122 


54 


7 


308824 


96653 


999999 


01 


308825 


99653 


691175 


53 


8 


366816 


85254 


999999 


01 


366817 


85254 


633183 


52 


9 


417968 


76263 


999999 


01 


417970 


76263 


582030 


51 


10 
11 


463725 


68988 


999998 


01 
01 


463727 


68988 


538273 


50 

49 


7.505118 


62981 


9.999998 


7.505120 


62981 


12.494880 


12 


542906 


57936 


999997 


01 


542909 


57933 


457091 


48 


13 


577668 


53841 


999997 


01 


577673 


53642 


422328 


47 


14 


609853 


49938 


999996 


01 


609857 


49939 


390143 


46 


15 


639816 


46714 


999996 


01 


639820 


46715 


360180 


45 


16 


667845 


43881 


999995 


01 


667849 


43882 


332151 


44 


17 


694173 


41372 


999995 


01 


6941 78 


41373 


305821 


43 


18 


718997 


39135 


999994 


01 


719003 


39136 


280997 


42 


19 


742477 


37127 


999993 


01 


742484 


37128 


257516 


41 


20 
21 


764754 
7.785943 


35315 


999993 
9.999992 


01 
01 


764761 


35136 


235239 


40 
39 


33672 


7.785951 


33673 


12.214049 


23 


806146 


32175 


999991 


01 


806155 


32176 


193845 


38 


23 


825451 


30805 


999990 


01 


825460 


30806 


174540 


37 


24 


843934 


29547 


999989 


02 


843944 


29549 


156056 


36 


25 


861662 


28388 


999988 


02 


861674 


28390 


138326 


35 


26 


878695 


27317 


999988 


02 


878708 


27318 


121292 


34 


27 


895085 


26323 


999987 


02 


895099 


26325 


104901 


33 


28 


910879 


25399 


999986 


02 


910894 


25401 


089106 


32 


29 


926119 


24538 


999985 


02 


926134 


24540 


073866 


31 


30 
31 


940842 


23733 


999983 


02 
02 


940858 


23735 


059142 


30 
29 


7.955082 


22980 


9.999982 


7.955100 


22981 


13.044900 


32 


968870 


22273 


999981 


02 


968889 


22275 


031111 


28 


33 


982233 


21608 


999980 


02 


982253 


21610 


017747 


27 


34 


995198 


20981 


999979 


02 


995219 


20983 


004781 


26 


35 


8.007787 


20390 


999977 


02 


8.007809 


20392 


11.992191 


25 


36 


020021 


19831 


999976 


02 


020045 


18883 


979955 


34 


37 


031919 


19302 


999975 


02 


031945 


19305 


968055 


33 


38 


043501 


18801 


999973 


03 


043527 


18803 


956473 


32 


39 


054781 


18325 


999972 


02 


054809 


18327 


945191 


21 


40 
41 


065776 


17873 
17441 


999971 


02 

03 


065806 
8.076531 


17874 
17444 


934194 


20 

19 


8.076500 


9.999969 


11.923469 


42 


086965 


17031 


999968 


02 


086997 


17034 


913003 


18 


43 


097183 


16639 


999966 


02 


097317 


16642 


902783 


17 


44 


107167 


16265 


999964 


03 


107202 


16238 


892797 


16 


45 


116926 


15908 


999963 


03 


118963 


15910 


883037 


15 


46 


126471 


15566 


999961 


03 


126510 


15568 


873490 


14 


47 


135810 


15238 


999959 


03 


135851 


15241 


864149 


13 


48 


144953 


14924 


999958 


03 


144996 


14:J27 


855004 


13 


49 


153907 


14622 


999956 


03 


153953 


14627 


846048 


11 


50 
51* 


162681 
8.171280 


14333 
14054 


999954 


03 
03 


163727 


14336 


837273 


10 
9 


9.9y9952 


8.171328 


14057 


11.828672 


52 


179713 


137S6 


999950 


03 


179763 


13790 


830237 


8 


53 


187985 


13529 


999948 


03 


188036 


13532 


811964 


7 


54 


196102 


13280 


999946 


03 


196156 


13284 


80384^1 


6 


55 


204070 


13041 


999944 


3 


204126 


13044 


795874 


5 


56 


211895 


12810 


999942 


4 


211953 


13814 


788047 


4 


57 


219581 


12587 


999940 


04 


219641 


12590 


780359 


3 


58 


227134 


12372 


999938 


04 


227195 


13376 


772805 


2 


59 


234557 


12164 


999936 


04 


234621 


12168 


765379 


1 


60 


241855 


11963 


999934 


04 


241931 


11967 


758079 





~ 


Cosine j 


Sine 1 


Colang. 




Tang. 1 M. | 



8'J De-reos. 





SINES A^■D TANGENTS. (1 Degiec.) 


19 


M. 


Sine 


D. 


1 Cosine | D. 


Tang. 


D. 


Cotang. 1 "1 


"T 


8.241855 


11963 


9.999934 


04 


8.241921 


11967 


11.758079 


60 


1 


249033 


11768 


999932 


04 


249102 


11772 


■ 750898 


59 


2 


256094 


11580 


999929 


04 


258165 


11584 


743835 


58 


3 


263042 


11398 


999927 


04 


263115 


11402 


736885 


57 


4 


269881 


11221 


999925 


04 


269956 


11225 


730044 


56 


5 


276614 


11050 


999922 


04 


276691 


11054 


723309 


55 


6 


283243 


10883 


999920 


04 


283323 


10887 


716677 


54 


7 


289773 


10721 


999918 


04 


289856 


10726 


710144 


53 


8 


296207 


10565 


999915 


04 


296292 


10570 


703708 


52 


9 


302546 


10413 


999913 


04 


302634 


10418 


697366 


51 


10 
11 


308794 
8.314954 


10266 


999910 
9.999907 


04 

04 


308884 
8.315046 


10270 
10126 


691116 


50 
49 


10122 


11.684954 


12 


321027 


9982 


999905 


04 


321122 


9987 


678878 


AS 


13 


327016 


9847 


999902 


04 


327114 


9851 


672886 


47 


14 


332924 


9714 


999899 


05 


333025 


9719 


686975 


46 


15 


333753 


9586 


999897 


05 


338S56 


9590 


661144 


45 


16 


344504 


9460 


999894 


05 


344610 


9465 


655390 


44 


17 


350181 


9338 


999S91 


05 


350289 


9343 


649711 


43 


18 


355783 


9219 


999888 


05 


355895 


9224 


644105 


42 


19 


361315 


9103 


999885 


05 


361430 


9108 


638570 


41 


20 
21 


366777 


8990 


999882 
9.999879 


05 
05 


366895 


8995 


633105 


40 
39 


8.372171 


8880 


8.372292 


8885 


11.627708 


22 


377499 


8772 


999876 


05 


377622 


8777 


622378 


38 


23 


382762 


8637 


999873 


05 


382889 


8672 


617111 


37 


24 


387962 


8564 


999870 


05 


388092 


8570 


611908 


36 


25 


393101 


8464 


999867 


05 


393234 


8470 


606766 


35 


26 


398179 


8366 


999864 


05 


398315 


8371 


601685 


34 


27 


403199 


8271 


999861 


05 


403338 


8276 


596662 


33 


28 


408161 


8177 


999858 


05 


408304 


8182 


591696 


32 


29 


413068 


8086 


999854 


05 


413213 


8091 


586787 


31 


30 
31 


417919 


7996 


999851 


06 
06 


418068 


8002 


581932 


30 

29 


8.422717 


7909 


9.999848 


8.422869 


7914 


11.577131 


32 


427462 


7823 


999844 


06 


427618 


7830 


572382 


28 


33 


432156 


7740 


999841 


06 


432315 


7745 


567685 


27 


34 


436800 


7657 


999838 


06 


436962 


7663 


563038 


26 


35 


441394 


7577 


999S34 


06 


441560 


7583 


558440 


25 


36 


445941 


7499 


999831 


06 


446110 


7505 


553890 


24 


37 


450440 


7422 


999827 


06 


450613 


7428 


549387 


23 


38 


454893 


7346 


999823 


06 


455070 


7352 


544930 


22 


39 


459301 


7273 


999820 


06 


459481 


7279 


540519 


21 


40 
41 


463665 


7200 


999816 
9.999812 


06 
06 


463849 


7206 


536151 
11.531828 


20 
19 


8.467985 


7129 


8.468172 


7135 


42 


472263 


7060 


999809 


08 


472454 


7066 


527546 


18 


43 


476498 


6991 


999805 


08 


476693 


6998 


523307 


17 


44 


480693 


6924 


999801 


06 


480892 


6931 


519108 


16 


45 


4848-18 


6859 


999797 


07 


485ft50 


6865 


514950 


15 


46 


488963 


6794 


999793 


07 


489170 


6801 


510830 


14 


47 


493040 


6731 


999790 


07 


493250 


6738 


506750 


13 


48 


497078 


6669 


999786 


07 


497293 


6676 


502707 


12 


49 


501080 


6608 


999782 


07 


.501298 


0615 


498702 


11 


50 

51 


505045 


6548 


999778 


07 

07 


505267 
8.509200 


6555 


494733 


10 
9 


8.508974 


6489 


9.999774 


6496 


11.490800 


52 


512867 


6431 


999769 


07 


513098 


6439 


486902 


8 


53 


516726 


6375 


999765 


07 


516961 


6382 


483039 


7 


54 


520551 


6319 


999761 


07 


520790 


6326 


479210 


6 


55 


524343 


6264 


999757 


07 


524586 


6272 


475414 


5 


56 


528102 


6211 


999753 


07 


528349 


6218 


471651 


4 


57 


531828 


6158 


999748 


07 


532080 


6165 


467920 


3 


58 


535523 


6106 


. 999744 


07 


535779 


6113 


464221 


2 


59 


539180 


6055 


999740 


07 


5394i7 


6062 


460553 


1 


60 


542819 


6004 


999735 


07 


54303/1 


6012 


45691G 





-i 


Cosine 




Sine 1 


Cotung. 




Tuns- 1 m. j 



US Degrees. 



20 


(2 Degrees.) a 


TABLE OF LOGARITHMIC 




11 


i Sine 


». 


Closine | D. 


Tang. 


1 D. 


1 rotan?. 1 1 


T 


8.542819 


6004 


9.999735 


07 


8.543084 


6012 


11.456916 


60 


1 


546422 


5955 


999731 


07 


546691 


5962 


453309 


59 


2 


549995 


5906 


999726 


07 


.550268 


5914 


449732 


58 


3 


553539 


5858 


999722 


08 


553817 


5866 


446183 


57 


4 


557054 


5811 


999717 


08 


557336 


5819 


442664 


56 


5 


560540 


5765 


999713 


08 


560828 


5773 


439172 


55 


6 


563999 


5719 


999708 


08 


564291 


5727 


435709 


54 


7 


567431 


5674 


999704 


08 


567727 


5682 


432273 


53 


8 


570836 


5630 


999699 


08 


571137 


5638 


428863 


52 


9 


574214 


5587 


999694 


08 


574520 


5595 


425480 


51 


10 
11 


577566 

8.580892 


5544 


999689 


08 
OS 


577877 


5552 


422123 


50 
49 


5502 


9.999685 


8.581208 


6510 


11.418792 


12 


584193 


5460 


999680 


08 


584514 


5468 


415486 


48 


13 


587469 


5419 


999675 


08 


587795 


5427 


412205 


47 


14 


590721 


5379 


999670 


08 


591051 


5387 


408949 


46 


15 


593948 


5339 


999665 


08 


694283 


6347 


405717 


45 


16 


597152 


5300 


999660 


08 


597492 


5308 


402508 


44 


17 


600332 


5261 


999655 


08 


600677 


5270 


399323 


43 


18 


603489 


5223 


999650 


08 


603839 


5232 


396161 


42 


19 


606323 


5186 


999645 


09 


606978 


5194 


393022 


41 


20 

21 


609734 
8.612823 


5149 


999640 
9.999035 


09 
09 


610094 
8.613189 


5158 


389906 


40 
39 


5112 


5131 


11.386811 


22 


615891 


5076 


999629 


09 


616262 


5085 


383738 


38 


23 


618937 


5041 


999624 


09 


619313 


5050 


380687 


37 


24 


621962 


5006 


999619 


09 


622343 


5015 


377657 


36 


25 


624965 


4972 


999614 


09 


625352 


4981 


374648 


35 


26 


627948 


4938 


999608 


09 


628340 


4947 


371660 


34 


27 


630911 


4904 


999603 


09 


631308 


4913 


368692 


33 


28 


633854 


4871 


999597 


09 


634256 


4880 


365744 


32 


29 


636776 


4839 


999592 


09 


637184 


4848 


362816 


31 


30 
31 


639680 
8.642563 


4803 


999586 
9.999581 


09 
09 


640093 


4816 


359907 


30 

29 


4775 


8.642982 


4784 


11.357018 


32 


645428 


4743 


999575 


09 


645853 


4753 


354*147 


28 


33 


648274 


4712 


999570 


09 


648704 


4722 


351296 


27 


34 


651102 


4682 


999564 


09 


651537 


4691 


348463 


26 


35 


653911 


4652 


999558 


10 


654352 


4661 


345648 


25 


36 


656702 


4622 


999553 


10 


657149 


4631 


342851 


24 


37 


659475 


4592 


999547 


10 


659928 


4602 


340072 


23 


38 


662230 


4563 


999541 


10 


662689 


4573 


337311 


22 


39 


664968 


4535 


999535 


10 


665433 


4544 


334567 


21 


40 
41 


667689 
8.670393 


4506 
4479 


999529 


10 
10 


688160 


4526 


331840 


20 
19 


9.999524 


8.670870 


4488 


11.329130 


42 


673080 


4451 


999518 


10 


673663 


4461 


326437 


18 


43 


675751 


4424 


999512 


10 


676239 


4434 


323761 


17 


44 


678405 


4397 


999506 


10 


678900 


4417 


321100 


16 


45 


681043 


4370 


999500 


10 


681544 


4380 


318456 


15 


46 


683665 


4344 


999493 


10 


684172 


4354 


315828 


14 


47 


686272 


4318 


999487 


10 


686784 


4328 


313216 


13 


48 


688863 


4292 


999481 


10 


689381 


4303 


310619 


12 


49 


691438 


4267 


999476 


10 


691963 


4277 


308037 


11 


50 
51 


693998 
8.696543 


4242 


999469 
9.999463 


10 

11 


694529 
8.697081 


4252 


305471 


10 
9 


4217 


4228 


11.302919 


52 


699073 


4192 


999456 


11 


699617 


4203 


300383 


8 


53 


701589 


4168 


999450 


11 


702139 


4179 


297861 


7 


54 


704090 


4144 


999443 


11 


704646 


4155 


295354 


6 


55 


706577 


4121 


999437 


11 


707140 


4132 


292860 


5 


56 


709049 


4097 


999431 


11 


709618 


4108 


290382 


4 


57 


711507 


4074 


999424 


11 


712083 


4085 


287917 


3 


58 


713952 


4051 


999418 


11 


714534 


4062 


285465 


2 


59 


716383 


4029 


999411 


11 


716972 


4040 


283028 


1 


60 


718800 


4006 


999404 


11 


719396 


4017 


280604 01 


, 


Cosine 


1 


Sme 1 


Cotang. 1 


1 


Tang. |M. 1 



87 Degrees. 





SINES AND TANGENTS. (3 Degrees.) 




21 ' 


nn 


Siae 1 


D. i 


Cosine 1 D | 


Cansr 1 


i. 1 


ro-Hiu'. 1 1 





8.718800 


4006 1 


9.999404 


11 


8.719396 


4017 


11.280604 


"60" 


1 


721204 


3984 


999398 


11 


721806 


3995 


278194 


59 


2 


723595 


3962 


999391 


11 


724204 


3974 


275796 


58 


3 


725972 


3941 


999384 


11 


726588 


3952 


273412 


57 


4 


728337 


3919 


999378 


11 


728959 


3930 


271041 


56 


5 


730688 


3898 


999371 


11 


731317 


3909 


268683 


55 


6 


733027 


3877 


999364 


12 


733663 


3889 


266337 


54 


7 


735354 


3857 


999357 


12 


735996 


3868 


264004 


53 


s 


737667 


3836 


999350 


12 


738317 


3848 


261683 


,52 


9 


739969 


3816 


999343 


12 


740626 


3827 


259374 


51 


10 
11 


742259 
8.744536 


3796 


999336 
9.999329 


12 
12 


742922 


3807 


257078 


50 
49 


3776 


8.745207 


3787 


11.254793 


12 


746802 


3756 


999322 


12 


747479 


3768 


252521 


48 


13 


749055 


3737 


999315 


12 


749740 


3749 


250260 


47 


14 


751297 


3717 


999308 


12 


751989 


3729 


248011 


46 


15 


753528 


3698 


999301 


12 


754227 


3710 


245773 


45 


16 


755747 


3679 


999294 


12 


756453 


3692 


243547 


44 


17 


757955 


3661 


999286 


12 


758668 


3673 


241332 


43 


18 


760151 


3642 


999279 


12 


760872 


3655 


239128 


42 


19 


762337 


3624 


999272 


12 


763065 


3636 


236935 


41 


20 
21 


764511 


3606 


999265 
9.999257 


12 
12 


765246 


3618 


234754 


40 
39 


8.766675 


3588 


8.767417 


3600 


11.232583 


22 


768828 


3570 


999250 


13 


769578 


3583 


230422 


38 


23 


770970 


3553 


999242 


13 


771727 


3565 


228273 


37 


24 


773101 


3535 


999235 


13 


773866 


3548 


226134 


36 


25 


775223 


3518 


999227 


13 


775995 


3531 


224005 


35 


26 


777333 


3501 


999220 


13 


778114 


3514 


221886 


34 


27 


779434 


3484 


999212 


13 


780222 


3497 


219778 


33 


28 


781524 


3467 


999205 


13 


782320 


3480 


217680 


32 


29 


783605 


3451 


999197 


13 


784408 


3464 


215592 


31 


30 
31 


785675 


3431 


999189 
9.999181 


13 
13 


786486 
8.788554 


3447 
3431 


213514 


30 

29 


8.787736 


3418 


11.211446 


32 


789787 


3402 


999174 


13 


790613 


3414 


209387 


28 


33 


791828 


3386 


999166 


13 


792662 


3399 


207338 


27 


34 


793859 


3370 


999158 


13 


794701 


3383 


205299 


26 


35 


795881 


3354 


999150 


13 


796731 


3368 


203269 


25 


36 


797894 


3339 


999142 


13 


798752 


3352 


201248 


24 


37 


799897 


3323 


999134 


13 


800763 


3337 


199237 


23 


38 


801892 


3308 


999126 


13 


802765 


3322 


197235 


22 


39 


803876 


3293 


999118 


13 


804758 


3307 


195242 


21 


40 
41 


805852 
8.807819 


3278 


999110 
9.999102 


13 
13 


806742 
8.808717 


3292 


193258 


20 
19 


3263 


3278 


11.191283 


42 


809777 


3249 


999094 


14 


810683 


3262 


189317 


18 


43 


811726 


3234 


999086 


14 


812641 


3248 


187359 


17 


44 


813667 


3219 


999077 


14 


814589 


3233 


185411 


16 


45 


815599 


3205 


999069 


14 


816529 


3219 


183471 


15 


46 


817522 


3191 


999061 


14 


818461 


3205 


181539 


14 


47 


819436 


3177 


999053 


14 


820384 


3191 


179616 


13 


48 


821343 


3163 


999044 


14 


822298 


3177 


177702 


12 


49 


823240 


3149 


999036 


14 


824205 


3163 


175795 


11 


50 
51 


825130 
8.827011 


3135 


999027 
9.999019 


14 

14 


82^03 


3150 


173897 


10 
9 


3122 


8.827992 


3136 


11.172008 


52 


828884 


3108 


999010 


14 


829874 


3123 


170126 


8 


53 


830749 


3095 


999002 


14 


831748 


3110 


168252 


7 


54 


832607 


3082 


998993 


14 


8.33613 


3096 


166387 


6 


55 


834456 


3069 


998984 


14 


835471 


3083 


164529 


5 


56 


836297 


3056 


998976 


14 


837321 


3070 


162679 


4 


57 


838130 


3043 


998967 


15 


839163 


3057 


160837 


3 


58 


839956 


3030 


998958 


15 


840998 


3045 


159002 


2 


59 


841774 


3017 


998950 


15 


842825 


3032 


157175 


1 


60 


843585 


3000 


998941 


15 


844644 


3019 


155356 





~ 


Cosine 


1 


1 «*■- 1 


1 Cotang. 


1 


Tang. j M. | 



86 Degrees. 



(4 Degrees.) a table of logarithmic 



M.| 


Sine 


D. 1 


Cosine 1 D. | 


Tan?. 1 


D- 1 


Cotang. 1 ] 





8.843585 


3005 


9.998941 


15 


8.844644 


3019 


11.155356 


60 


1 


845387 


2992 


998932 


15 


846455 


3007 


153545 


59 


2 


847183 


2980 


998923 


15 


848260 


2995 


151740 


58 


3 


848971 


2967 


998914 


15 


850057 


2982 


149943 


57 


4 


850751 


2955 


998905 


15 


851846 


2970 


148154 


56 


5 


852525 


^943 


998896 


15 


853628 


2958 


146372 


55 


6 


854291 


2931 


998887 


16 


855403 


2946 


144597 


54 


7 


856049 


2919 


998878 


15 


857171 


2935 


142829 


53 


8 


857801 


2907 


998869 


15 


858932 


2923 


141068 


52 


9 


85954(5 


2896 


998860 


15 


860686 


2911 


139314 


51 


10 
11 


861283 


2884 
" 2873 


998851 


15 

15 


862433 


2900 

2888 


137567 
11.135827 


50 

49 


8.863014 


9.998841 


8.864173 


12 


864738 


2861 


998832 


15 


865906 


2877 


134094 


48 


13 


866455 


2850 


Q98823 


16 


867632 


2868 


132368 


47 


14 


868165 


2839 


998813 


16 


869351 


2854 


130649 


46 


15 


869868 


2828 


998804 


16 


871064 


2843 


128936 


45 


16 


871565 


2817 


99S795 


16 


872770 


2832 


127230 


44 


17 


873255 


2806 


998785 


16 


874469 


2821 


125531 


43 


18 


874938 


2795 


998776 


16 


876162 


2811 


123838 


42 


19 


876615 


2786 


998766 


16 


877849 


2800 


122151 


41 


20 
21 


878285 


2773 


998757 
9.998747 


16 
16 


879529 


2789 


120471 


40 
39 


8.879949 


2763 


8.881202 


2779 


11.118798 


22 


881607 


2752 


998738 


16 


882869 


2768 


117131 


38 


23 


883258 


2742 


998728 


16 


884530 


2758 


115470 


37 


24 


884903 


2731 


998718 


16 


886185 


2747 


113815" 


36 


25 


886542 


2721 


998708 


16 


887833 


2737 


112167 


35 


26 


888174 


2711 


998699 


16 


889476 


2727 


110524 


34 


27 


889801 


2700 


998689 


16 


891112 


2717 


108888 


33 


28 


891421 


2690 


998679 


16 


892742 


2707 


107258 


32 


29 


893035 


2680 


998669 


17 


894366 


2697 


105634 


31 


30 
31 


894643 

8.896246 


2670 


S98659 
9.998649 


17 
17 


895984 


2687 


104016 


30 
29 


2660 


8.897596 


2677 


11.102404 


32 


897842 


2651 


998639 


17 


899203 


2667 


100797 


28 


33 


899432 


2641 


998629 


17 


900803 


2658 


099197 


27 


34 


901017 


2631 


998619 


17 


902398 


2648 


097602 


26 


35 


902596 


2622 


998609 


17 


903987 


2638 


096013 


25 


36 


904169 


2612 


998599 


17 


905570 


2629 


094430 


24 


37 


905736 


2603 


998589 


17 


907147 


2620 


092853 


23 


38 


907297 


2593 


998578 


17 


908719 


2610 


091281 


22 


39 


908853 


2584 


998568 


17 


910285 


2601 


039715 


21 


40 
41 


910404 


2575 
2566 


998558 


17 

17 


911846 


2592 


088154 


20 
19 


8.911949 


9.998548 


8.913401 


2583 


11.086599 


42 


913488 


2556 


998537 


17 


914951 


2574 


085049 


18 


43 


915022 


2547 


998527 


17 


916495 


2585 


083505 


17 


44 


916550 


2538 


998516 


18 


918034 


2556 ■ 


081966 


16 


45 


918073 


2529 


998506 


18 


919568 


2547 


080432 


15 


46 


919591 


2520 


998495 


18 


921096 


2538 


078904 


14 


47 


921103 


2512 


998485 


18 


922619 


2530 


077381 


13 


48 


922610 


2503 


998474 


18 


924136 


2521 


075864 


12 


49 


924112 


2494 


998464 


18 


925649 


2512 


074351 


11 


50 
51 


925609 


2486 


9^453 


18 
18 


927156 


2503 


072844 


10 
9 


8.927100 


2477 


9.998442 


8.928658 


2495 


11.071342 


52 


928587 


2469 


998431 


18 


930155 


2486 


069845 


8 


53 


930068 


2460 


998421 


18 


931647 


2478 


068353 


7 


54 


931544 


2452 


998410 


18 


933134 


2470 


066866 


6 


55 


933015 


2443 


998399 


18 


934616 


2461 


065384 


5 


56 


934481 


2435 


998388 


18 


936093 


2453 


063907 


4 


57 


935942 


2427 


998377 


18 


937565 


2445 


062435 


3 


58 


937398 


2419 


998366 


18 


939032 


2437 


060968 


2 


59 


938850 


2411 


998355 


18 


940494 


2430 


059506 


1 


60 


940296 


2403 


998344 


18 


941952 


2421 


058048 





C 


Cosine 


1 


1 Sine j 


1 Cotang. 




j Tang. 


Twr 



85 Degrees. 





SINES AND TANGENTS. (5 DegTeCS. 


) 


23 


T 


Sine 1 D. 


Cosiii« 1 D. 


•rv.„!f. 


1 D. 


CoMU's:. 1 1 





8.940296 


24i>3 


9 . 998344 


19 


8.941952 


2421 


11.058048 


60 


1 


941738 


2394 


998333 


19 


943404 


2413 


056596 


59 


2 


943174 


2387 


998322 


19 


944852 


2405 


055148 


58 


3 


941606 


2379 


998311 


19 


946295 


2397 


053705 


57 


4 


946034 


2371 


998300 


19 


947734 


2390 


052266 


56 


5 


947456 


2363 


998239 


19 


949168 


2382 


050832 


55 


6 


948874 


2355 


998277 


19 


950597 


2374 


049403 


54 


7 


950287 


2348 


998236 


19 


952021 


2366 


047979 


53 


8 


951696 


2340 


998255 


19 


953441 


2360 


046559 


52 


9 


953100 


2332 


998243 


19 


954856 


2351 


045144 


51 


10 
11 


954499 

8.955894 


2325 


998232 
9.998220 


19 
19 


956267 


2344 


043733 


50 

49 


2317 


8.957674 


2337 


11.042326 


12 


957284 


2310 


998209 


19 


959075 


2329 


040925 


48 


13 


958670 


2302 


998197 


19 


960473 


2323 


039527 


47 


14 


960052 


2295 


998186 


19 


961866 


2314 


038134 


46 


15 


961429 


2288 


99S174 


19 


963255 


2307 


036745 


45 


16 


962801 


2280 


998163 


19 


964639 


2300 


035361 


44 


17 


964170 


2273 


998151 


19 


968019 


2293 


033981 


43 


18 


965534 


2266 


998139 


20 


967394 


2286 


032606 


42 


19 


966893 


2259 


998128 


20 


968766 


2279 


031234 


41 


20 
21 


968249 
8.969600 


2252 


998116 
9.998104 


20 

20 


970133 
8.971496 


2271 


029867 


40 
39 


2244 


2265 


11.028504 


32 


970947 


2238 


998092 


20 


972855 


2257 


027145 


38 


23 


972289 


2231 


998080 


20 


974209 


2251 


025791 


37 


24 


973628 


2224 


998068 


20 


975560 


2244 


024440 


36 


25 


974962 


2217 


998056 


20 


976906 


2237 


023094 


35 


26 


976293 


2210 


99S044 


20 


978248 


2230 


021752 


34 


27 


977619 


2203 


998032 


20 


979586 


2223 


020414 


33 


28 


978941 


2197 


998020 


20 


980921 


2217 


019079 


32 


29 


980259 


2190 


998008 


20 


982251 


2210 


017749 


31 


30 

31 


98 1573 

8.982S83 


2183 


997996 


20 

20 


983577 

8.984899 


2204 


016423 


30 

29 


2177 


9.997984 


2197 


11.015101 


32 


984189 


2170 


997972 


20 


986217 


2191 


013783 


28 


33 


985491 


2163 


997959 


20 


987532 


2184 


012468 


27 


34 


986789 


2157 


997947 


20 


988842 


2178 


011158 


26 


35 


988083 


2150 


997935 


21 


990149 


2171 


009851 


25 


36 


989374 


2144 


997922 


21 


991451 


2165 


008549 


24 


37 


990660 


2138 


997910 


21 


992750 


2158 


007250 


23 


38 


991943 


2131 


997897 


21 


994045 


2152 


005955 


22 


39 


993222 


2125 


997885 


21 


995337 


2146 


004663 


21 


40 
41 


994497 
8.995768 


2119 


997872 
9.997860 


21 
21 


996624 
8.997908 


2140 


003376 


20 
19 


2112 


2134 


11.002092 


42 


997036 


2106 


997847 


21 


999188 


2127 


000812 


18 


43 


998299 


2100 


997835 


21 


9.000465 


2121 


10.999535 


17 


44 


999560 


2094 


997822 


21 


001738 


2115 


998262 


16 


45 


9.000816 


2087 


997809 


21 


003007 


2109 


996993 


15 


46 


002069 


2082 


997797 


21 


004272 


2103 


995728 


14 


47 


003318 


2076 


997784 


21 


005534 


2097 


994466 


13 


48 


004563 


2070 


997771 


21 


006792 


2091 


993208 


12 


49 


005805 


2064 


997758 


21 


008047 


2085 


991953 


11 


50 
51 


007044 
9.008278 


2058 


997745 
9.997732 


21 

21 


009298 
9.010546 


2080 


990702 



9 


2052 


2074 


10.989454 


52 


009510 


2046 


997719 


21 


011790 


2068 


988210 


8 


53 


010737 


2040 


997706 


21 


013031 


2062 


986969 


7 


54 


011962 


2034 


997693 


22 


014268 


2056 


985732 


6 


55 


013182 


2029 


997680 


22 


015502 


2051 


984498 


5 


56 


014400 


2023 


997667 


22 


016732 


2045 


983268 


4 


57 


015613 


2017 


997654 


22 


017^59 


2040 


982041 


3 


58 


016824 


2012 


997641 


22 


019183 


2033 


980817 


2 


59 


018031 


2006 


997628 


22 


020403 


2028 


979597 


1 


60 


019235 


2000 


997614 


22 


021620 


2023 


978380 





„^_ 


C isine | | 


Sine 1 ] 


Cotang. 




Tang. |M. 1 



84 Degrees. 



M 


(6 Degrees.) a 


TABLE OF LOGAEITHMIC 




M. 


s-.^ 


D. 


! ( ..Mi-.e i D. 


Tang. 1 


D. 1 


Cotaiig. j 1 


~T 


9.019235 


2000 


9.997614 


22 


9.021620 


2023 


10.978380 


60 


1 


020435 


1995 


997601 


22 


022834 


2017 


977166 


59 


2 


021632 


1989 


997588 


22 


024044 


2011 


975956 


58 


3 


022825 


1984 


997574 


22 


025251 


2006 


974749 


57 


4 


024016 


1978 


997561 


22 


026455 


2000 


973545 


56 


5 


025203 


1973 


997547 


22 


027655 


1995 


972345 


55 


6 


026386 


1967 


997534 


23 


028S52 


1990 


971148 


54 


7 


027567 


1962 


997520 


23 


030046 


1985 


969954 


53 


8 


028744 


1957 


997507 


23 


031237 


1979 


968763 


52 


9 


029918 


1951 


097493 


23 


032425 


1974 


967575 


51 


10 


031089 


1947 


997480 


23 


033609 


1969 


966391 


50 


U 


9.032257 


1941 


9.997466 


23 


9.034791 


1964 


10.965209 


49 


12 


033421 


1936 


997452 


23 


035969 


1958 


964031 


48 


13 


0345S2 


1930 


997439 


23 


037144 


1953 


962856 


47 


14 


035741 


1925 


997425 


23 


038316 


1948 


961684 


46 


15 


036896 


1920 


997411 


23 


039485 


1943 


960515 


45 


16 


038048 


1915 


997397 


23 


040651 


1938 


959349 


44 


17 


039197 


1910 


997383 


23 


041813 


1933 


9.58187 


43 


18 


040342 


1905 


997369 


23 


042973 


1928 


957027 


42 


19 


041485 


1899 


997355 


23 


044130 


1923 


955870 


41 


20 

21 


042625 


1894 
1889 


997341 
9.997327 


23 

24 


045284 
9.046434 


1918 


954716 


40 
39 


9.043762 


1913 


10.953566 


22 


044895 


1884 


997313 


24 


047582 


1908 


9.52418 


38 


23 


046026 


1879 


997299 


24 


048727 


1903 


951273 


37 


24 


047154 


1875 


997285 


24 


049869 


1898 


950131 


36 


25 


048279 


1870 


997271 


24 


051008 


1893 


943992 


35 


26 


049400 


1865 


997257 


24 


052144 


1889 


947856 


34 


27 


050519 


1860 


997242 


24 


053277 


1884 


946723 


33 


28 


051635 


1855 


997228 


24 


054407 


1879 


945593 


32 


29 


052749 


1850 


997214 


24 


055535 


1874 


944465 


31 


30 

31 


053859 
054966 


1845 
1841 


997199 


24 
24 


056659 
9.057781 


1870 


943341 


30 

29 


9.997185 


1865 


10.942219 


32 


056071 


1836 


997170 


24 


058900 


1869 


941100 


28 


33 


057172 


1831 


997156 


24 


060016 


1855 


939984 


27 


34 


058271 


1827 


997141 


24 


061130 


1851 


93SS70 


26 


35 


059367 


1822 


997127 


24 


062240 


1846 


937760 


25 


36 


060460 


1817 


997112 


24 


06334-8 


1842 


936652 


24 


37 


081551 


1813 


99709S 


24 


064453 


1837 


935547 


23 


38 


062639 


1803 


997083 


25 


065556 


1833 


934444 


22 


39 


063724 


1804 


997068 


25 


066655 


1828 


933345 


21 


40 
41 


064S06 


1799 
1794 


997053 


25 
25 


067752 
9.068846 


1824 
1819 


932248 


20 
19 


9.0658S5 


9.997039 


10.931154 


42 


066962 


1790 


997024 


25 


069938 


1815 


930062 


18 


43 


068036 


1786 


997009 


25 


071027 


1810 


928973 


17 


44 


069107 


1781 


996994 


25 


072113 


1806 


927887 


16 


45 


070176 


1777 


996979 


25 


073197 


1802 


926803 


15 


46 


071242 


1772 


996964 


25 


074278 


1797 


925722 


14 


47 


072306 


1768 


996949 


25 


075356 


1793 


924644 


13 


48 


073366 


1763 


996934 


25 


076432 


1789 


923568 


12 


49 


074424 


1759 


996919 


25 


077505 


1784 


922495 


11 


50 
51 


075480 
9.076533 


1755 
1750 


996904 


25 

25 


078576 
9.079644 


1780 
1776 


921424 


10 
9 


9.996889 


10.920356 


52 


077583 


1746 


996874 


25 


080710 


1772 


919290 


8 


,53 


078631 


1742 


996858 


,25 


081773 


1767 


918227 


7 


64 


079676 


1738 


996843 


',25 


082S83 


1763 


917167 


6 


55 


080719 


1733 


996828 


25 


083S91 


1759 


916109 


5 


56 


081759 


1729 


996812 


;26 


084947 


1755 


915053 


4 


57 


082797 


1725 


996797 


'26 


086000 


1751 


914000 


3 


58 


0S3S32 


1721 


996782 


26 


087050 


1747 


912950 


2 


59 


0S4S64 
085894 


1717 


996766 


,26 


08S09S 


1743 


911902 


1 


60 


1713 


996751 


|26 


089144 


i 1738 


910856 







Cosine 




Sine 1 


1 Civam. 


1 


Tang. |M.| 



i3 Degrees. 





SI^-ES AND TANGENTS. 


(7 Degrees.) 




25 


_Mj_ 


Sine I D. I 


Cosine | D. | 


Tang. 1 D. | 


Cotang. 1 1 





9.085894 


1713 


9.9967511 


26] 


9.089144 1738 j 


LO. 910856 


60 


1 


086922 


1709 


996735! 


26 


090187 1734 | 


909813 


59 


2 


087947 


1704 


996720! 


26 


091228 


1730 


908772 


58 


3 


088970 


1700 


9967041 


26 


092266 


1727 


907734 


57 


4 


089990 


1696 


996688 


26 


093302 


1722 


906698 


56 


5 


091008 


1692 


996673 


26 


094336 


1719 


905664 


55 


6 


092024 


1688 


996657 


26 


095367 


1715 


904633! 


54 


7 


093037 


1684 


996641 


26 


096395 


1711 


903605 


53 


8 


094047 


1680 


996625 


26 


097422 


1707 


902578 


52 


9 


095056 


1676 


996610 


26 


098446 


1703 


901554 


51 


10 


096062 


1673 


996594 


26 


099468 


1699 


900532 


50 


11 


9.097065 


1668 


9.996578 


27 


9.100487 


1695 


10.899513 


49 


12 


098066 


1665 


996562 


27 


101504 


1691 


898496 


48 


13 


099065 


1661 


996546 


27 


102519 


1687 


897481 


47 


14 


100062 


1657 


996530 


27 


103532 


1684 


896468 


46 


15 


101056 


^1653 


996514 


27 


104542 


1680 


895458 


45 


16 


102048 


1649 


996498 


27 


105550 


1676 


894450 


44 


17 


103037 


1645 


996482 


27 


106556 


1672 


893444 


43 


18 


104025 


1641 


996465 


27 


107559 


1669 


892441 


42 


19 


105010 


1638 


996449 


27 


108560 


1665 


891440 


41 


20 
21 


105992 


1634 


996433 


27 
27 


109559 


1661 


890441 


40 
39 


9.106973 


1630 


9.996417 


9.110556 


1658 


10.889444 


22 


107951 


1627 


996400 


27 


111551 


1654 


888449 


38 


23 


108927 


1623 


996384 


27 


112543 


1650 


887457 


37 


24 


109901 


1619 


996368 


27 


113533 


1646 


886467 


36 


25 


110873 


1616 


996351 


27 


114521 


1643 


885479 


35 


26 


111842 


1612 


996335 


27 


115507 


1639 


884493 


34 


27 


112809 


1608 


996318 


27 


116491 


1636 


883509 


33 


28 


X13774 


1605 


996302 


28 


117472 


1632 


882528 


32 


29 


114737 


1601 


996285 


28 


118452 


1629 


881548 


31 


30 
31 


115698 


1597 


996269 
9.996252 


28 
28 


119429 


1625 


880571 


30 
29 


9.11^656 


1594 


9.120404 


1622 


10.879596 


32 


117613 


1590 


996235 


28 


121377 


1618 


878623 


28 


33 


118567 


1587 


996219 


28 


122348 


1615 


877652 


27 


34 


119519 


1583 


996202 


28 


123317 


1611 


876683 


26 


35 


120469 


1580 


996185 


28 


124284 


1607 


875716 


25 


36 


121417 


1576 


996168 


28 


125249 


1604 


874751 


24 


37 


122362 


1573 


996151 


28 


126211 


1601 


873789 


23 


38 


123306 


1569 


996134 


28 


127172 


1597 


872828 


22 


39 


124248 


1566 


996117 


28 


128130 


1594 


871870 


21 


40 
41 


125187 


1562 


996100 


28 
29 


129087 


1591 


870913 


20 


9.126125 


1559 


9.996083 


9.130041 


1587 


10.869959 


19 


42 


127060 


1556 


996066 


29 


130994 


1584 


869006 


18 


43 


127993 


1552 


996049 


29 


131944 


1581 


868056 


17 


44 


128925 


1549 


996032 


29 


132893 


1577 


867107 


16 


45 


129854 


1545 


996015 


29 


133839 


1574 


866161 


15 


46 


130781 


1542 


995998 


29 


134784 


1571 


865216 


14 


47 


131706 


1539 


995980 


29 


135726 


1567 


864274 


13 


48 


132630 


1535 


995963 


29 


136667 


1564 


863333 


12 


49 


133551 


1532 


995946 


29 


137605 


1561 


862395 


11 


50 
51 


134470 
9.135387 


1529 


995928 


29 
29 


138542 


1558 
1555 


861458 


10 


1525 


9.995911 


9.139476 


10.860524 


9 


52 


136303 


1522 


995894 


29 


140409 


1551 


859591 


8 


53 


137216 


1519 


995876 


29 


141340 


1548 


858660 


7 


54 


138128 


1516 


995859 


29 


142269 


1545 


857731 


6 


55 


139037 


1512 


995841 


29 


143196 


1542 


856804 


5 


56 


139944 


1509 


995823 


29 


144121 


1539 


855879 


4 


57 


14085(] 


1506 


995806 


29 


145044 


1535 


854956 


3 


58 


141754 


t 1503 


995788 


29 


145966 


1532 


854034 


2 


59 


14265J 


1500 


995771 


29 


146885 


1529 


853115 


1 


60 


14355£ 


1 1496 


995753 


29 


147803 


1 1526 


852197 





= 


1 Cosine 1 


1 Sine 1 


1 r,',,n.. J 


1 Tang. 1 M! 








82 


Deg 


rees. 









26 


( 


8 Degrees.) a 


TAJ3LE OF LOGARITHMIC 






1 Sine 


1 D. 


1 Cosrne | D, 


1 Ta;lg. 


1 I). 


1 C^taii^. j 


1 


9.14355. 


5 1496 


9.995753 


30 


j 9.147803 


1526 


10.852197; 60 


1 


14445J 


J 1493 


995735 


30 


I 148718 


1523 


851282 59 


2 


14534{ 


) 1490 


995717 


30 


i 149632 


1620 


850368 58 


3 


14624C 


J 1487 


995699 


30 


I 150544 


1517 


849456; 57 


4 


14713( 


5 1484 


995681 


30 


' 151454 


1514 


1 848546! 56 


5 


148026 


5 1481 


995664 


30 


! 152363 


1511 


847637; 55 


6 


14891c 


) 1478 


995646 


30 


153269 


1508 


846731154 


7 


14980S 


1475 


995628 


30 


154174 


1505 


845826 53 


8 


150686 


1472 


995610 


30 


155077 


1502 


844923' 52 


9 


! 15156S 


1469 


995591 


30 


155978 


1499 


844022; 21 


10 
11 


152451 
9 153330 


1466 
1 1463 


995573 
,' 9.995555 


30 
30 


I 156877 
i 9.157775 


1496 


843123 


50 


1493 


10.842225149 


12 


154208 


1 1460 


' 995537 


30 


158671 


1490 


841329 48 


13 


155083 


i 1457 


995519 


30 


159565 


1487 


840435 47 


14 


155957 


1454 


995501 


31 


160457 


1484 


8395431 46 


15 


156830 


1451 


995482 


31 


161347 


1481 


838653 


45 


16 


157700 


1448 


995464 


31 


163236 


1479 


837764 


44 


17 


158569 


1445 


995446 


31 


163123 


1476 


836877 


43 


18 


159435 


1442 


995427 


31 


164008 


1473 


835992 


42 


19 


1G0301 


1439 


995409 


31 


164892 


1470 


8351081 41 I 


20 
21 


161164 
9.162025 


1436 
1433 


995390 


31 
31 


165774 
9.166654 


1467 


834226 


40 


9.995372 


1464 


10.833346 


39 


22 


162885 


1430 


995353 


31 


167532 


1461 


832468J 38 


23 


163743 


1427 


995334 


31 


168409 


1458 


83159l| 37 


24 


164600 


1424 


995316 


31 


169284 


1455 


8307161 36 


25 


165454 


1422 


995297 


31 


170157 


14.53 


6298431 35 


26 


166307 


1419 


995278 


31 


171029 


1450 


828971 


34 


27 


167159 


1416 


995260 


31 


171899 


1447 


828101 


33 


28 


168008 


1413 


995241 


32 


172767 


1444 


827233 


32 


29 


168856 


1410 


995222 


32 


173634 


1442 


826366 


31 


30 
31 


169702 
9.170547 


1407 


995203 


32 
32 


174499 


1439 
1436 


825501 


30 

29 


1405 


9.995184 


9.175362 


10.824638 


32 


171389 


1402 


995165 


32 


176224 


1433 


823776 


28 


33 


172230 


1399 


995146; 


32 


177084 


1431 


822916 27 


34 


173070 


1396 


995127! 


32 


177942 


1428 


822058; 26 


35 


173908 


1394 


995108! 


32 


178799 


1425 


8212011 25 


36 


174744 


1391 


995089; 


32 


179655 


1423 


820345; 24 


37 


175578 


1388 


995070 


32 


180508 


1420 


8194921 23 


38 


176411 


1386 


995051 


32 


181360 


1417 


818640 22 


39 


177242 


1383 


995032 


32 


182211 


1415 


817789 


21 


40 
41 


178072 


1380 


995013 
9.994993 


32 
32 


183059 


1412 


816941 


20 
19 


9.178900 


1377 


9.183907 


1409 


10.816093 


42 


179726 


1374 


994974 


32 


184752 


1407 


815248 


18 


43 


180551 


1372 


9949551 


32 


185597 


1404 


8144^3 


17 


44 


181374 


1369 


994935! 


32 


186439 


1402 


813561 


16 


45 


182196 


1366 


994916! 


33 


187280 


1399 


8127201 15 


46 


183016 


1364 


9948961 


33 


188120 


1396 


811880 14 


47 


183834 


1361 


994877 


33 


188958 


1393 


811042 13 


48 


184651 


1359 


9948571 


33 


189794 


1391 


810206; 12 


49 


185466 


1356 


9948381 


33 


190629 


1389 


809371! 11 


50 
51 


186280 


1353 


9948181 
9.994798! 


33 
33 


191462 
9.192294 


13S6 
1384 


808538 


10 


9.187092 


1351 1 


10.807706 


9 


52 


187903 


1348 


9947791 


33 


193124 


1381 


8068761 8 


53 


188712 


1346 


994759; 


33 


193953 


1379 


806047] 7 


54 


189519 


1343 


994739 


33 


194780 


1376 


8052201 6 


55 


190325 


1341 


994719 


33 


195606 


1374 


S04394J 5 


56 


191130 


1338 i 


994700i 


33 


196430 


1371 


803570! 4 


57 


191933 


1336 ' 


9946801 


33 


197253 


1369 


8027471 3 


58 


192734 


1.333 j 


994660' 


33 


198074 


1366 


8019261 2 


69 


193534 


1330 


994640 1 


33 


198894 


1364 


801106 1 


60 


194332 


1328 


994620; 


33 1 


199713 


1361 


8002871 


^ 


Cosine ] 


i 


.>^me 1 1 


Cotaus. 1 


I 


Tang. 1 M. 



81 DeffJiics. 





SINES AND TAIN'GENTS 


. (9 De 


grees.j 




27 


nrr 


Sine 1 


D. 1 


Cosiue i D. 1 


Tang. 1 


D- I 


Cotang. 1 1 





9.194332 


1328 


9.994620 


33 


9.199713 


1361 


10.800287 


60 


1 


195139 


1326 


994600 


33 


200529 


1359 


799471 


59 


2 


195925 


1323 


994580 


33 


201345 


1356 


798655 


68 


3 


196719 


1321 


994560 


34 


202159 


1354 


797841 


57 


4 


197511 


1318 


994540 


34 


202971 


1352 


797029 


56 


5 


198302 


1316 


994519 


34 


203782 


1349 


796218 


55 


6 


199091 


1313 


994499 


34 


204592 


1347 


795408 


54 


7 


199879 


1311 


994479 


34 


205400 


1345 


794600 


53 


8 


200666 


1308 


994459 


34 


206207 


1342 


793793 


52 


9 


201451 


1306 


994438 


34 


207013 


1340 


792987 


51 


10 
11 


202234 


1304 
1301 


994418 


34 
34 


207817 


1338 


792183 
10.791381 


50 
49 


9.203017 


9.994397 


9.208619 


1335 


12 


203797 


1299 


994377 


34 


209420 


1333 


790580 


48 


13 


204577 


1296 


994357 


34 


210220 


1331 


789780 


47 


14 


205354 


1294 


994336 


34 


211018 


1328 


788982 


46 


15 


206131 


1292 


994316 


34 


211815 


1326 


788185 


45 


16 


206906 


1289 


994295 


84 


212611 


1324 


787389 


44 


17 


207679 


1287 


994274 


35 


213405 


1521 


786595 


43 


18 


208452 


1285 


994254 


35 


214198 


1319 


785802 


42 


19 


209222 


1282 


994233 


35 


214989 


1317 


'?85011 


41 


20 
21 


209992 
9.210760 


1280 


994212 


35 

35 


215780 
9.216568 


1315 


784220 


40 
39 


1278 


9.994191 


1312 


10.783432 


22 


211526 


1275 


994171 


35 


217356 


1310 


782644 


38 


23 


212291 


1273 


994150 


35 


218142 


1308 


781858 


37 


24 


213055 


1271 


994129 


35 


218926 


1305 


781074 


36 


25 


213818 


1268 


994108 


35 


219710 


1303 


780290 


35 


26 


214579 


1266 


994087 


35 


220492 


1301 


779508 


34 


27 


215338 


1264 


994066 


35 


221272 


1299 


778728 


33 


28 


216097 


1261 


994045 


35 


222052 


1297 


777948 


32 


29 


216854 


1259 


994024 


35 


222830 


1294 


777170 


31 


30 
31 


217609 


1257 


994003 


35 
35 


223606 


1292 


776394 


30 
29 


9.218363 


1255 


9.993981 


9.224382 


1290 


10.775618 


32 


219116 


1253 


993960 


35 


225156 


1288 


774844 


28 


33 


219868 


1250 


993939 


35 


225929 


1286 


774071 


27 


34 


220618 


1248 


993918 


35 


226700 


1284 


773300 


26 


35 


221867 


1246 


993896 


36 


227471 


1881 


772529 


25 


36 


222115 


1244 


993875 


36 


228239 


1279 


771761 


24 


37 


222861 


1242 


993854 


36 


229007 


1277 


770993 


23 


38 


223606 


1239 


993832 


36 


229773 


1275 


770227 


22 


39 


224349 


1237 


993811 


36 


230539 


1273 


769461 


21 


40 
41 


225092 


1235 


993789 
9.993768 


36 
36 


231302 


1271 


768698 


20 
19 


9.225833 


1233 


9.232065 


1269 


10.767935 


42 


226573 


1231 


993746 


36 


232826 


1267 


767174 


18 


43 


227311 


1228 


993725 


36 


233586 


1265 


766414 


17 


44 


228048 


1226 


993703 


36 


234345 


1262 


765655 


16 


45 


228784 


1224 


993681 


36 


235103 


1260 


'/.64897 


15 


46 


229518 


1222 


993660 


36 


235869 


1258 


764141 


14 


47 


230252 


1220 


993638 


36 


236614 


1256 


763386 


13 


48 


230984 


1218 


993616 


36 


237368 


1254 


762632 


12 


49 


231714 


1216 


993594 


37 


238120 


1252 


761880 


11 


50 
51 


232444 
9.233172 


1214 


993572 


37 
37 


238872 
9.239622 


1250 


761128 


10 
9 


1212 


9.993550 


1248 


10.7603.78 


52 


2.33899 


1209 


993528 


37 


240371 


1246 


759629 


8 


53 


234625 


1207 


993506 


37 


241118 


1244 


758882 


7 


54 


235349 


1205 


993484 


37 


241865 


1242 


758135 


6 


55 


236073 


1203 


993462 


37 


242610 


1240 


757390 


5 


56 


236795 


1201 


993440 


37 


243354 


1238 


756646 


4 


57 


237515 


1199 


993418 


37 


244097 


1236 


755903 


3 


58 


238235 


1197 


993396 


37 


244839 


1234 


7.55161 


2 


59 


238953 


1195 


993374 


37 


245579 


1232 


754421 


1 


60 


239670 


1193 


993351 


37 


246319 


1230 


753681 







Cosine 


1 


1 Sine 1 


1 Cotang. 




1 Tang. jM.j 



80 Degrees. 



28 


(10 Degrees.) a 


TABLE OF LOGARITHMIC 




]m! 


I .Sine 1 D. 


1 Cosine | D. 


i Tang. 


1 D. 


1 Cotang. 


1 


"o 


9.23967C 


) 1193 


9.99336] 


37 


9.24631S 


1230 


10.753681 


60 


1 


240386 


1191 


99332S 


37 


24705*/ 


1228 


752943 


59 


2 


241101 


1189 


99330? 


37 


247794 


1226 


752206 


58 


3 


241814 


1187 


993285 


37 


24853C 


1224 


75147G 


57 


4 


242526 


1185 


993262 


37 


249264 


1222 


750736 


56 


5 


243237 


1183 


993240 


37 


249998 


1220 


750002 


55 


6 


243947 


1181 


993217 


38 


25073C 


1218 


749270 


54 


7 


244656 


1179 


993195 


38 


251461 


1217 


748539 


53 


8 


245363 


1177 


993172 


38 


252191 


1215 


747809 


52 


9 


246069 


1175 


993149 


38 


252920 


1213 


747080 


51 


10 
11 


246775 

9.247478 


1173 
1171 


993127 


38 
38 


253648 


1211 


746352 


50 
49 


9.993104 


9.254374 


1209 


10.745626 


12 


248181 


1169 


993081 


38 


255100 


1207 


744900 


48 


13 


248883 


1167 


993059 


38 


255824 


1205 


744176 


47 


14 


249583 


1165 


993036 


38 


256547 


1203 


743453 


46 


15 


250282 


1163 


993013 


38 


257269 


1201 


742731 


45 


16 


250980 


1161 


992990 


38 


257990 


1200 


742010 


44 


17 


251677 


1159 


992967 


38 


258710 


1198 


741290 


43 


18 


252373 


1158 


992944 


38 


259429 


1196 


740571 


42 


19 


253067 


1156 


992921 


38 


260146 


1194 


739854 


41 


20 

21 


253761 


1154 


992898 


38 
38 


260863 


1192 


739137 


40 
39 


9.254453 


1152 


9.992875 


9.261578 


1190 


10.738422 


22 


255144 


1150 


' 992852 


38 


262292 


1189 


737708 


38 


23 


255834 


1148 


992829 


39 


263005 


1187 


736995 


37 


24 


256523 


1146 


992806 


39 


263717 


1185 


736283 


36 


25 


257211 


1144 


992783 


39 


264428 


1183 


735572 


35 


26 


257898 


1142 


992759 


39 


265138 


1181 


734862 


34 


27 


258583 


1141 


992736 


39 


265847 


1179 


734153 


33 


28 


259268 


1139 


992713 


39 


266555 


1178 


733445 


S2 


29 


259951 


1137 


992690 


39 


267261 


1176 


732739 


31 


30 
31 


260633 


1135 
1133 


992666 
9.992643 


39 

39 


267967 


1174 


732033 


30 

29 


9.261314 


9.268671 


1172 


10.731329 


32 


261994 


1131 


992619 


39 


269375 


1170 


730625 


28 


33 


262673 


1130 


992596 


39 


270077 


1169 


729923 


27 


34 


263351 


1128 


992572 


39 


270779 


1167 


729221 


26 


35 


264027 


1126 


992549 


39 


271479 


1165 


728521 


25 


36 


264703 


1124 


992525 


39 


272178 


1164 


727822 


24 


37 


265377 


1122 


992501 


39 


272876 


1162 


727124 


23 


38 


266051 


112'a 


992478 


40 


273573 


1160 


726427 


22 


39 


266723 


1119 


992454 


40 


274269 


1158 


725731 


21 


40 


267395 


1117 


992430 


40 
40 


274964 


1157 


725036 


20 

19 


.41 
42 

'43 


9.268065 


1115 


9.992406 


9.275658 


1155 


10.724342 


268734 


1113 


992382 


40 


276351 


1153 


723649 


18 


269402 


1111 


992359 


40 


277043 


1151 


722957 


17 


44 


270069 


1110 


992335 


40 


277734 


1150 


722266 


16 


45 


270735 


1108 


992311 


40 


278424 


1148 


721576 


15 


46 


271400 


1106 


992287 


40 


279113 


1147 


720887 


14 


47 


272064 


1105 


992263 


40 


279801 


1145 


720199 


13 


48 


272726 


1103 


992239 


40 


280488 


1143 


719512 


12 


49 


273388 


1101 


992214 


40 


281174 


1141 


718826 


11 


50 
51 


274049 
9.274708 


1099 


992190 


40 
40 


281858 
9.282542 


1140 


718142 


10 
9 


1098 


9.992166 


1138 


10.717458 


52 


275367 


1096 


992142 


40 


283225 


1136 


716775 


8 


53 


276024 


1094 


992117 


41 


283907 


1135 


716093 


7 


54 


276681 


1092 


992093 


41 


284588 


1133 


715412 


6 


55 


277337 


1091 


992069 


41 


285268 


1131 


714732 


5 


56 


277991 


1089 


992044 


41 


285947 


1130 


714053 


4 


57 


278644 


1087 


992020 


41 


286624 


1128 


713376 


3 


58 


279297 


1086 


991996 


41 


287301 


1126 


712699 


2 


59 


279948 


1084 


991971 


41 


287977 


1125 


712023 


1 


60 


280599 


1082 


9919471 


41 


288652 


1123 


711348 0| 


. 1 


Cosine | | 


Sine 1 1 


Cotang. 1 


1 


Tang. 1 M. j 



79 Degrees. 





SINES AND TANGENTS 


. (11 Degrees. 


) 


29 


M. 


1 Sine 


1 D. 


1 Cosirre | 1>. 


1 Tang;. 


1 D- 


1 ^ot..i. 1 -] 


T 


9.280599 


1082 


9.991947 


41 


9.288652 


1123 


10.711348 


1 60 


1 


281248 


1081 


991922 


41 


289326 


1122 


710674 


59 


2 


281897 


1079 


991897 


41 


289999 


1120 


710001 


58 


3 


282544 


1077 


991873 


41 


290671 


1118 


709329 


57 


4 


283190 


1076 


991848 


41 


291342 


1117 


708658 


56 


5 


283836 


1074 


991823 


41 


292013 


1115 


707987 


55 


6 


284480 


1072 


991799 


41 


292682 


1114 


707318 


54 


7 


285124 


1071 


991774 


42 


293350 


1112 


706650 


53 


8 


285766 


1069 


991749 


42 


294017 


1111 


705983 


52 


9 


286408 


1067 


991724 


42 


294684 


1109 


705316 


51 


10 
11 


287048 
9.287687 


1066 


991699 
9.991674 


42 

42 


295349 


1107 


704651 


50 
49 


1064 


9.296013 


1106 


10.703987 


12 


288326 


1063 


991649 


42 


296677 


1104 


703323 


48 


13 


288964 


1061 


991624 


42 


297339 


1103 


702661 


47 


14 


289600 


1059 


991599 


42 


298001 


1101 


701999 


46 


15 


290236 


1058 


991574 


42 


298662 


1100 


701338 


45 


16 


290870 


1056 


991549 


42 


299322 


1098 


700678 


44 


17 


291504 


1054 


991524 


42 


299960 


1096 


700020 


43 


18 


292137 


1053 


991498 


42 


300638 


1095 


699362 


42 


19 


292768 


1051 


991473 


42 


301295 


1093 


698705 


41 


20 


293399 


1050 


991448 


42 


301961 


1092 


698049 


40 


21 


9.294029 


1048 


9.991422 


42 


9.302607 


1090 


10.697393 


39 


22 


294658 


1046 


991397 


42 


303261 


1089 


696739 


38 


23 


29528G 


1045 


991372 


43 


303914 


1087 


696086 


37 


24 


295913 


1043 


991346 


43 


304567 


1086 


695433 


36 


25 


296539 


1042 


991321 


43 


305218 


1084 


694782 


35 


26 


297164 


1040 


991295 


43 


305869 


1083 


694131 


34 


27 


297788 


1039 


991270 


43 


306519 


1081 


693481 


33 


28 


298412 


1037 


991244 


43 


307168 


1080 


692832 


32 


29 


299034 


1036 


991218 


43 


307815 


1078 


692185 


31 


30 


299655 


1034 


991193 


43 


308463 


1077 


691537 


30 


31 


9.300276 


1032 


9.991167 


43 


9.309109 


1075 


10.690891 


29 


32 


300895 


1031 


991141 


43 


309754 


1074 


690246 


28 


33 


301514 


1029 


991115 


43 


310398 


1073 


689602 


27 


34 


302132 


1028 


991090 


43 


311042 


1071 


688958 


26 


35 


302748 


1026 


991064 


43 


311685 


1070 


638315 


25 


36 


303364 


1025 


991033 


43 


31232?" 


1038 


687673 


24 


37 


303979 


1023 


991012 


43 


312967 


1067 


687033 


23 


:38 


304593 


1022 


990986 


43 


313608 


1005 


686392 


22 


39 


305207 


1020 


990960 


43 


314247 


1064 


685753 


2i 


40 


305819 


1019 


990934 


44 


314885 


1062 


685il5 


20 


41 


9.306430 


1017 


9.990908 


44 


9.315523 


1061 


10.68MW 


19 


42 


307041 


1016 


990882 


44 


316159 


1060 


683841 


18 


43 


307650 


1014 


990855 


44 


316795 


1058 


683205 


i7 


44 


308259 


1013 


990829 


44 


317430 


1057 


682570 


16 


45 


308867 


1011 


9908031 


44 


318064 


1055 


681936 


15 


46 


309474 


1010 


990777 


44 


318697i 


1054 


681303 


14 


47 


310080 


1008 


990750 


44 


3193291 


1053 


680671 


13 


48 


310685 


1007 


990724 


44 


31996l! 


1051 


680039 


12 


49 


311289 


1005 


990697 


44 


3205921 


1050 


679408 


11 


50 
51 


311893 
9.312495 


1004 


990671 44 1 
9.990644 44 i 


321222: 
9.3218511 


1048 


678778 


10 
9 


1003 


1047 


10.678149 


52 


313097 


1001 


990618 441 


322479 


1045 


677521 


8 


53 


313698 


1000 


990591 44 i 


323106 


1044 


676894 


7 


54 


314297 


998 


990565 44 1 


323733 


1043 


6762671 6 


55 


314897 


997 


990538 44 


324358 


1041 


675642 5 


56 


315495 


996 


990511 45 


324983 


1040 


675017 4 


57 


316092 


994 


990485 45 


325607 


1039 


674393 3 


58 


316689 


993 


990458 45 


326231 


1037 


673769 2 


59 


317284 


991 


990431 45 


326853 


1036 ! 


673147 1 


60 


317879 


990 


990404 


45 


327475 


1035 


672525 


1 



Cosine 



Tang. 



78 Degrees. 



30 


(12 Degrees.) a 


TABLE OF LOGARlTHillC 




T| 


Siii? 


D. 


Cosine | D. 


1 Tang. 


D. 


<-olai!f. I 1 





9.317879 


990 


9.990404 


45 


9.327474 


1035 


10.672526 60 1 


1 


318473 


988 


990378 


45 


328095 


1033 


671905 


59 


2 


319066 


987 


990351 


45 


328715 


1032 


671285 


58 


3 


319658 


986 


990324 


45 


329334 


1030 


670666 


57 


4 


320249 


984 


990297 


45 


329953 


1029 


670047 


66 


5 


320840 


983 


990270 


45 


330570 


1028 


669430 


55 


6 


321430 


982 


990243 


45 


331187 


1026 


668813 


54 


7 


322019 


980 


990215 


45 


331803 


1025 


668197 


63 


8 


322607 


979 


990188 


45 


332418 


1024 


667582 


62 


9 


323194 


977 


990161 


45 


333033 


1023 


666967 


51 


10 
11 


323780 


976 
975 


990134 
9.990107 


45 
46 


333646 


1021 


666354 


50 

49 


9.324366 


9.334259 


1020 


10.665741 


13 


324950 


973 


990079 


46 


334871 


1019 


665129 


48 


13 


325534 


972 


990052 


46 


335482 


1017 


664518 


47 


14 


326117 


970 


990025 


46 


336093 


1016 


663907 


46 


15 


326700 


969 


989997 


46 


336702 


1015 


663298 


45 


16 


327281 


968 


989970 


46 


33731 1 


1013 


662689 


44 


17 


327862 


966 


989942 


46 


337919 


1012 


662081 


43 


18 


328442 


965 


989915 


46 


338527 


1011 


661473 


42 


19 


329021 


964 


989887 


46 


339133 


1010 


660867 


4i 


20 
21 


329599 


962 


989860 


46 
46 


339739 
9.340344 


1008 
1007 


660261 
10.659656 


40 
39 


9.330176 


961 


9.989832 


22 


330753 


960 


989S04 


46 


340948 


1006 


659052 


38 


23 


331329 


958 


989777 


46 


341552 


1004 


658448 


37 


24 


331903 


957 


989749 


47 


342155 


1003 


657845 


36 


25 


332478 


956 


989721 


47 


342757 


1002 


657243 


35 


26 


333051 


954 


989693 


47 


343358 


1000 


656642 


34 


27 


333624 


953 


989665 


47 


343958 


999 


656042 


33 


28 


334195 


952 


989637 


47 


344558 


998 


655442 


32 


29 


334766 


950 


989609 


47 


345157 


997 


654843 


31 


30 
31 


335337 


949 


989582 
9.989553 


47 
47 


345755 
9.346353 


996 
994 


654245 


30 

29 


9.335906 


948 


10.653647 


32 


336475 


946 


989525 


47 


346949 


993 


653051 


28 


33 


337043 


945 


989497 


47 


347545 


992 


652455 


27 


34 


337610 


944 


989469 


47 


348141 


991 


651859 


20 


35 


.338176 


943 


989441 


47 


348735 


990 


661265 


25 


36 


338742 


941 


989413 


47 


349329 


988 


650671 


24 


37 


339306 


940 


989384 


47 


349922 


987 


650078 


23 


38 


339871 


939 


989356 
989328 


47 


350514 


986 


649486 


22 


39 


340434 


937 


47 


351106 


985 


648894 


21 


40 
41 


340996 


936 


989300 
9.989271 


47 
47 


351697 


983 

982 


648303 


20 
19 


^.341558 


935 


9.352287 


10.647713 


42 


342119 


934 


989243 


47 


352876 


981 


647124 


18 


43 


342679 


932 


989214 


47 


353465 


9fc0 


646535 


17 


44 


343'>^9 


931 


989186 


47 


354053 


979 


645947 


16 


45 


343797 


930 


989157 


47 


354640 


977 


645360 


15 


46 


344365 


929 


989128 


48 


355227 


976 


644773 


14 


47 


344912 


927 


989100 


48 


355813 


975 


644187 


13 


48 


345469 


926 


989071 


48 


356398 


974 


643602 


12 


49 


346024 


925 


989042 


48 


356982 


973 


643018 


11 


50 


346579 


924 


989014 


48 


357566 


971 


642434 


10 


51 


9.347134 


922 


9.988985 


48 


9.358149 


970 


10.641851 


9 


52 


347687 


921 


988956 


48 


358731 


969 


641269 


8 


53 


348240 


920 


988927 


48 


359313 


968 


640687 


7 


54 


348792 


919 


988898 


48 


359893 


967 


640107 


6 


55 


349343 


917 


988869 


48 


360474 


966 


639526 


5 


56 


349893 


916 


988840 


48 


361053 


965 


638947 


4 


57 


350443 


915 


988811 


49 


361632 


963 


638368 


3 


58 


350992 


914 


988782 


49 


362210 


962 


637790 


2 


59 


351540 


913 


988753 


49 


362787 


961 


637213 


1 


60 


352088 


1 911 


988724 


49 


363364 


960 


636f;36 







t'OritirT 


1 


1 Sine 1 


1 <■,»:.. 


1 


T..g |M] 



77 Degrees. 





SINES AND TANGENTS. (13 Degrees.) 


31 


IVI 


1 Sine 


1 D. 


} Cosine 1 1). 


1 Ta.., 


1 '^ 


1 C.>,.ar., 1 


^ 


9.352088 


911 


9.988724 


49 


9.363364 


900 


10.636636 


60 


1 


352635 


910 


98S695 
918666 


49 


363940 


959 


636060 


59 


2 


353181 


909 


49 


364515 


958 


635485 


58 


3 


353726 


908 


988636 


49 


365090 


957 


634910 


57 


4 


354271 


907 


988607 


49 


365664 


955 


634336 


56 


5 


354815 


905 


988578 


49 


368237 


954 


633763 


55 


6 


355358 


904 


988548 


49 


366810 


953 


633190 


54 


7 


355901 


903 


988519 


49 


367382 


952 


632618 


53 


8 


356443 


902 


988489 


49 


367953 


951 


633047 


52 


9 


356984 


901 


988460 


49 


363524 


950 


631476 


51 


10 

11 


357524 


899 


988430 
9.988401 


49 
49 


369094 


949 


630906 
10.630337 


50 

49 


9.358064 


898 


9.369663 


948 


12 


358603 


897 


988371 


49 


370232 


946 


629768 


48 


13 


359141 


896 


988342 


49 


370799 


945 


629201 


47 


14 


359678 


895 


988312 


50 


371367 


944 


628333 


46 


15 


360315 


S93 


9882-3 


50 


371933 


943 


628067 


45 


16 


360752 


892 


988252 


50 


372499 


942 


627501 


44 


17 


361287 


891 


988223 


50 


373064 


941 


623936 


43 


18 


361822 


S90 


988193 


50 


373829 


940 


62G371 


42 


19 


36235S 


889 


988163 


50 


374193 


* 939 


625307 


41 


20 

21 


362889 
9.363422 


88S 


988133 
9.988103 


50 
50 


374756 


938 


625344 


40 

39 


887 


9.375319 


937 


10.624681 


22 


363954 


885 


988073 


50 


375881 


935 


624119 


33 


23 


364485 


884 


988043 


50 


376442 


934 


623558 


37 


24 


365016 


8--3 


988013 


50 


377003 


933 


623997 


36 


25 


365546 


882 


987983 


50 


377563 


932 


622437 


35 


26 


366075 


881 


937953 


50 


378122 


931 


621378 


34 


27 


396604 


880 


987922 


50 


378Gs:! 


930 


62131^ 


33 


28 


367131 


879 


987892 


50 


379239 


929 


620 76 1 


32 


29 


367659 


877 


937862 


50 


379797 


928 


620<;03 


31 


30 
31 


368185 
9.368711 


873 
875 


987-332 
9.937801 


51 
51 


3803 H 

9.3S09.U 


927 


619546 


30 

29 


923 


1O.6J909O 


32 


369236 


874 


987771 


51 


381463 


925 


618534 


28 


33 


369761 


873 


987740 


51 


333020 


924 


617980 


27 


34 


370285 


872 


987710 


51 


332575 


923 


617425 


26 


35 


370808 


871 


987679 


51 


383129 


922 


616371 


25 


36 


371330 


870 


987649 


51 


333632 


921 


616318 


24 


37 


371852 


869 


987618 


51 


384234 


920 


615766 


23 


38 


372373 


867 


987588 


51 


334736 


919 


615214 


22 


39 


372894 


866 


987557 


51 


335337 


918 


614363 


21 


40 
41 


373414 


865 


987526 
9.987496 


51 

51 


335333 


917 


61413 2 


20 
19 


9.373933 


864 


9,386433 


915 


10.613562 


42 


,374452 


863 


987485 


51 


3869'!7 


914 


613013 


18 


43 


374970 


862 


987434 


51 


337536 


913 


612164 


17 


44 


3754S7 


861 


987403 


52 


388034 


912 


rii9i3 


16 


45 


376003 


860 


987372 


52 


383331 


911 


611369 


15 


46 


376519 


859 


987341 


52 


389173 


910 


610322 


14 


47 


377035 


858 


997310 


52 


389724 


909 


610276 


13 


48 


377549 


857 


987279 


52 


390270 


908 


609730 


12 


49 


378063 


856 


987248 


52 


390815 


907 


609135 


11 


50 
51 


378577 


854 


987217 


52 
52 


391360 


906 


603640 
10. 603097 


10 
9 


9.379089 


853 


9.987186 


9.391903 


905 


52 


379601 


852 


987155 


52 


392447 


904 


607553 


8 


53 


380113 


851 


987124 


52 


392939 


903 


607011 


7 


54 


380624 


850 


987092 


52 


393531 


902 


606469 


6 


55 


381134! 


849 


987061 


52 


394073 


901 


605927 


5 


56 


381643 


84S 


987030 


52 


394614 


900 


605386 


4 


57 


382152 


847 


986998 


52 


395154 


899 


604846 


3 


58 


382661 


846 


986967 


52 


395694 


898 


6043031 


2 


59 


383168 


845 


986936 


52 


396233 


897 


6037671 


I 


60 


383675 


844 


986904 


52 


396771 


896 


603229' 


«: 


_1 


r :. 1 


1 


s.. , , 


Oniai..- 1 


1 


... |V.| 



76 Degrees. 



32 


(14 Degrees.) a table of logarithmic 




ir\ 


Sine 1 


D. 1 


Cosine | D. 


Tang. 1 


D. 1 


Cotang. 1 \ 





9.383675 


844 ! 


9.986904 


52 


9.396771 


896 


10.603229 


60 


1 


384182 


843 


986873 


53 


397309 
3ar846 


896 


602691 


59; 


2 


384687 


842 


986841 


53 


895 


602154 


58 


3 


385192 


841 


986809 


53 


398.383 


894 


601617 


57 


4 


385697 


840 


986778 


53 


398919 


893 


601081 


56 


5 


386201 


839 


986746 


53 


399455 


892 


600545 


55 


6 


386704 


838 


986714 


53 


399990 


891 


600010 


54 


7 


387207 


837 


986683 


53 


400524 


890 


599476 


53 


8 


387709 


836 


986651 


53 


401058 


889 


598942 


52 


9 


388210 


835 


986619 


53 


401591 


888 


598409 


51 


10 
11 


388711 


834 


986587 
9.986555 


53 
53 


402124 


887 


597876 


50 
49 


9.389211 


833 


9.402656 


886 


10.597344 


12 
13 

14 


389711 


832 


986523 


53 


403187 


885 


596813 


48 


390210 


831 


986491 


53 


403718 


884 


596282 


47 


390708 


830 


986459 


53 


404249 


883 


595751 


46 


il5 


391206 


828 


986427 


53 


404778 


882 


595222 


45 


16 


391703 


827 


986395 


53 


405308 


881 


594692 


44 


17 


392199 


826 


986363 


54 


405836 


880 


594164 


43 


18 


392695 


825 


986331 


54 


406364 


879 


593636 


42 


19 


393191 


824 


986299 


54 


406892 


878 


593108 


41 


20 


393685 
9.394179 


823 


986266 
9.986234 


54 
54 


407419 


877 


592581 


40 
39 


21 


822 


9.407945 


876 


10.592055 


22 


394673 


821 


986202 


54 


408471 


875 


591529 


38 


23 


395166 


820 


986169 


54 


408997 


874 


591003 


37 


24 


395658 


819 


986137 


54 


409521 


874 


590479 


36 


25 


396150 


818 


986104 


54 


410045 


873 


589955 


35 


26 


396641 


817 


986072 


54 


410569 


872 


589431 


34 


27 


397132 


S17 


986039 


54 


411092 


871 


588908 


33 


2S 


397621 


816 


986007 


54 


411615 


870 


588385 


32 


29 


398111 


815 


985974 


54 


412137 


869 


587863 


31 


30 

31 


398600 


, 814 


985942 
9.985909 


54 
55 


412658 


868 


587342 


30 

29 


9.399088 


; 813 


9.413179 


867 


10.586821 


32 


399575 


812 


985876 


55 


413699 


866 


586301 


28 


33 


400062 


811 


985843 


55 


414219 


865 


585781 


27 


34 


400549 


810 


985811 


55 


414738 


864 


585262 


26 


35 


401035 


809 


985778 


55 


415257 


864 


584743 


25 


36 


401520 


808 


985745 


55 


415775 


863 


584225 


24 


37 


402005 


807 


985712 


55 


416293 


862 


683707 


23 


38 


402489 


806 


985679 


55 


416810 


861 


583190 


22 


33 


402972 


805 


985646 


55 


417326 


860 


582674 


21 


40 

41 


403455 


804 


985613 


55 
55 


417842 


859 


582158 


20 
19 


9.403938 


803 


9.985580 


9.418358 


858 


10.581642 


42 


404420 


802 


985547 


55 


418873 


857 


581127 


18 


43 


404901 


801 


985514 


55 


419387 


856 


580613 


17 


44 


405382 


800 


985480 


55 


419901 


855 


580099 


16 


45 


405862 


799 


985447 


55 


420415 


855 


579585 


15 


46 


406341 


1 798 


985414 


56 


420927 


854 


579073 


14 


47 


406820 


1 797 


985380 


56 


421440 


853 


578560 


13 


48 


407299 


! 796 


985347 


56 


421952 


852 


578048 


12 


49 


407777 


795 


985314 


56 


422463 


851 


577537 


11 


50 
51 


408254 


794 


985280 
9.985247 


56 
56 


422974 


850 


577026 


10 
9 


9.408731 


i 794 


9.423484 


849 


10.576516 


52 


40920'} 


''\ 793 


985213 


56 


423993 


848 


576007 


8 


53 


40968S 


,: 792 


985180 


56 


424503 


848 


575497 


7 


54 


41015'; 


^j 791 


985146 


56 


425011 


847 


574989 


6 


55 


41063S 


5' 790 


985113 


56 


425519 


846 


574481 


5 


56 


41110C 


)i 789 


985079 


56 


426027 


845 


,573973 


4 


57 


411571 


y 788 


985045 


56 


428534 


844 


573466 


3 


58 


412055 


I 787 


985011 


56 


427041 


843 


572959 


2 


59 


41252^ 


I 786 


984978 


56 


427547 


84;^ 


572453 


1 


60 


1 41299( 


5 785 


984944 


56 


428052 


842 


571948 






1 Tv^ine 



Sine 



I Tang. 



75 Degrees. 





SINES AND TANGENTS. (15 


Degrees.) 


33 


M, 


] Siue 


1 D- 


1 Cosine 1 D. 


1 Taiiij. 


i D. 


i Cota=. 1 1 


==0 


9.412996 


785 


9.984944 


57 


9.428052 


842 


10.571948 


60 


1 


413467 


784 


984910 


57 


428557 


841 


571443 


59 


2 


413938 


783 


984876 


57 


429062 


840 


570938 


58 


3 


414408 


783 


984842 


57 


429566 


839 


570434 


57 


4 


414878 


782 


984808 


57 


430070 


838 


569930 


56 


5 


415347 


781 


984774 


57 


430573 


838 


569427 


55 


6 


415815 


780 


984740 


57 


431075 


837 


568925 


54 


7 


416283 


779 


984706 


57 


431577 


836 


568423 


53 


8 


416751 


778 


984672 


57 


432079 


835 


567921 


52 


9 


417217 


777 


984637 


57 


432580 


834 


567420 


51 


10 
11 


417684 


776 

775 


984603 
9.984569 


57 
57 


433080 


833 


566920 


50 

49 


9.418150 


9.433580 


832 


10.566420 


12 


418615 


774 


984535 


57 


434080 


832 


565920 


48 


13 


419079 


773 


984500 


57 


434579 


831 


565421 


47 


14 


419544 


773 


984466 


57 


435078 


830 


564922 


46 


15 


420007 


772 


984432 


58 


435576 


829 


564424 


45 


16 


420470 


771 


984397 


58 


436073 


828 


563927 


44 


17 


420933 


770 


984363 


58 


436570 


828 


563430 


43 


18 


421395 


769 


984328 


58 


437067 


827 


562933 


42 


19 


421857 


768 


984294 


58 


437563 


826 


562437 


41 


20 
21 


422318 
9 422778 


767 
767 


984259 


58 
58 


438059 


825 
824 


561941 
10.561446 


40 
39 


9.984224 


9.438554 


22 


423238 


766 


984190 


58 


439048 


823 


560952 


38 


23 


423697 


765 


984155 


58 


439543 


823 


560457 


37 


24 


424156 


764 


984120 


58 


440036 


822 


559964 


36 


25 


424615 


763 


984085 


58 


440529 


821 


559471 


35 


26 


425073 


762 


984050 


58 


441022 


820 


558978 


34 


27 


425530 


761 


984015 


58 


441514 


819 


558486 


33 


28 


425987 


760 


983981 


58 


442006 


819 


557994 


32 


29 


426443 


760 


983946 


58 


442497 


818 


557503 


31 


30 
31 


426899 


759 


983911 
9.983875 


58 
58 


442988 


817 


557012 
10.556521 


30 
29 


9.427354 


758 


9.443479 


816 


32 


427809 


757 


983840 


59 


443968 


816 


556032 


28 


33 


428263 


756 


983805 


59 


444458 


815 


655542 


27 


34 


428717 


755 


983770 


59 


444947 


814 


555053 


26 


35 


429170 


754 


983735 


59 


445435 


813 


554565 


25 


36 


429623 


753 


983700 


59 


445923 


812 


554077 


24 


37 


430075 


752 


983664 


59 


446411 


812 


553589 


23 


38 


430527 


752 


983629 


59 


446898 


811 


553102 


22 


39 


430978 


751 


983594 


59 


447384 


810 


552616 


21 


40 
41 


431429 
9.431879 


750 


983558 
9.983523 


59 
59 


447870 
9.448356 


809 
809 


552130 


20 
19 


749 


10.551644 


42 


432329 


749 


983487 


59 


448841 


808 


551159 


18 


43 


432778 


748 


983452 


59 


449326 


807 


550674 


17 


44 


433226 


747 


983416 


59 


449810 


806 


550190 


16 


45 


433675 


746 


983381 


59 


450294 


806 


549706 


15 


46 


434122 


745 


983345 


59 


450777 


805 


549223 


14 


47 


434569 


744 


983309 


59 


451260 


804 


548740 


13 


48 


435016 


744 


983273 


60 


451743 


803 


648257 


12 


49 


435462 


743 


983238 


60 


452225 


802 


647775 


11 


50 
51 


435908 
9.436353 


742 


983202 


60 
60 


452706 


802 


547294 
10.546813 


10 
9 


741 


9.983166 


9.453187 


801 


52 


436798 


740 


983130 


60 


453668 


800 


546332 


8 


53 


437242 


740 


983094 


60 


454148 


799 


545852 


7 


54 


437686 


739 


983058 


60 


454628 


799 


545372 


6 


55 


438129 


738 


983022 


60 


455107 


798 


544893 


5 


56 


438572 


737 


982986 


60 


455586 


797 


644414 


4 


57 


439014 


736 


982950 


60 


456064 


796 


543936 


3 


58 


439456 


736 


982914 


60 


456542 


796 


643458 


2 


59 


439897 


735 


982878 


60 


457019 


795 


642981 


1 


60 


440338 


734 


982842 


60 


457496 


794 


542504 


1 


Cosine j 


1 


S,„e 1 , 


Cotang. j 


I 


Tap? j ^" 



74 



E 



34 


(16 Degrees.) a 


TABLE or LOGARITHMIC 




T" 


Sine 1 


D. 


Cosine | D. \ 


Ta::2 1 


D. 1 


Cotari? 1 1 





9.440338 


734 


9.982842! 60 | 


9.457496 


794 


10.542504 


60 


1 


440778 


733 


982805| 


60 


457973 


793 


542027 


59 


2 


441218 


732 


982769 


61 


458449 


793 


541551 


58 


3 


441658 


731 


982733 


61 


458925 


792 


541075 


57 


4 


442096 


731 


982696 


61 


459400 


791 


540600 


56 


5 


442535 


730 


982660 


61 


459875 


790 


540125 


55 


6 


442973 


729 


982624 


61 


460a49 


790 


539651 


54 


7 


443410 


728 


982587 


61 


460823 


789 


539177 


53 


8 


443847 


727 


982551 


61 


461297 


788 


538703 


52 


9 


444284 


727 


982514 


61 


461770 


788 


538230 


tl 


10 

11 


444720 


726 


982477 
9.982441 


61 
61 


462242 
9.462714 


787 
786 


537758 i 
10.537286 


50 
49 


9.445155 


725 


12 


445590 


724 


982404 


61 


463186 


785 


536814 


48 


13 


446025 


723 


982367 


61 


463658 


785 


536342 


47 


14 


446459 


723 


982331 


61 


464129 


784 


535871 


46 


15 


446893 


722 


982294 


61 


464599 


783 


535401 


45 


16 


447326 


721 


982257 


61 


465069 


783 


534931 


44 


17 


447759 


720 


982220 


62 


465539 


782 


534461 


43 


18 


448191 


720 


982183 


62 


466008 


781 


533992 


42 


19 


448623 


719 


982146 


62 


466476 


780 


533524 


41 


20 
21 


449054 


718 


982109 


62 
62 


466945 


780 


533055 
10.532587 


40 
39 


9.449485 


717 


9.982072 


9.467413 


779 


22 


449915 


716 


982035 


62 


467880 


778 


532120 


38 


23 


450345 


716 


981998 


62 


468347 


778 


531653 


37 


24 


450775 


715 


981961 


62 


468814 


777 


531186 


36 


25 


451204 


714 


981924 


62 


469280 


776 


530720 


35 


26 


451632 


713 


981886 


62 


469746 


775 


5302.54 


34 


27 


452060 


713 


981849 


62 


470211 


775 


529789 


33 


28 


452488 


712 


981812 


62 


470676 


774 


529324 


32 


29 


452915 


711 


981774 


62 


471141 


773 


528859 


31 


30 
31 


453342 


710 


981737 
9.981699 


62 
63 


471605 
9.472068 


773 


528395 
10.527932 


30 

29 


9.453768 


710 


772 


32 


454194 


709 


981662 


63 


472532 


771 


527468 


28 


S3 


454619 


708 


981625 


63 


472995 


771 


527005 


27 


S4 


455044 


707 


981587 


63 


-473457 


770 


526543 


26 


85 


455469 


707 


981549 


63 


473919 


769 


526081 


25 


36 


455893 


706 


981512 


63 


474381 


769 


525619 


24 


37 


456316 


705 


981474 


63 


474842 


768 


525158 


23 


38 


456739 


704 


981436 


63 


475303 


767 


524697 


22 


39 


457162 


704 


981399 


63 


475763 


767 


524237 


21 


40 


457584 


703 


981361 


63 


476223 


766 


523777 


20 


41 


9.458006 


702 


9.981323 


63 


9.476683 


765 


10.523317 


19 


42 


458427 


701 


981285 


63 


477142 


765 


522858 


18 


43 


458848 


701 


981247 


63 


477601 


764 


522399 


17 


44 


459268 


700 


981209 


63 


478059 


763 


521941 


16 


45 


459688 


699 


981171 


63 


478517 


763 


521483 


15 


46 


460108 


698 


981133 


!64 


478975 


762 


521025 


14 


47 


460527 


698 


981095 


64 


479432 


761 


530568 


13 


48 


460946 


697 


9810.57 


64 


479889 


761 


520111 


12 


49 


461364 


696 


981019 


64 


480345 


760 


519655 


11 


50 

51 


461782 


695 


980981 


64 
64 


480801 


759 


519199 
10.518743 


lio 

9 


9.462199 


695 


9.980942 


9.481257 


759 


52 


462616 


694 


980904 


64 


481712 


758 


518288 


8 


53 


463032 


693 


980866 


64 


482167 


757 


517833 


7 


54 


463448 


693 


980627 


! 64 


482621 


757 


517379 


6 


65 


463864 


692 


9807S9 


i64 


483075 


756 


516925 


5 


56 


464279 


691 


980750 


' 64 


483529 


755 


1 516471 


4 


57 


464694 


690 


9«f;--12 


■ 64 


483982 


755 


i 516018 


3 


5S 


465108 


690 


980673 


:64 


484435 


754 


515565 


2 


59 


465522 


689 


980635 


64 


484887 


7.'3 


515113 


1 


60 


465935 


' 688 


980596 


64 


485339 


753 


^Tr^(^^ 






I Cosine 



I I 



Colans 



I Tang. j M. 



73 Degrees 





SINES AND TANGENTS. (17 Degrees 


.) 


35 


M. 


.,.,. 


D. 


Cosine | D. 


1 Tai.g. 


D. 


Coiang. 







9.465935 


688 


9.980596 


64 


9.485339 


755 


10.514661 


60 


1 


466348 


688 


980558 


64 


485791 


752 


514209 


59 


2 


466761 


687 


980519 


65 


486242 


751 


513758 


58 


3 


467173 


686 


980480 


65 


486693 


751 


513307 


57 


4 


467585 


685 


980442 


65 


487143 


750 


512857 


56 


5 


467996 


685 


980403 


65 


487593 


749 


512407 


55 


6 


468407 


684 


980364 


65 


488043 


749 


511957 


54 


7 


468817 


683 


980325 


65 


488492 


748 


511508 


53 


8 


469227 


683 


980286 


65 


488941 


747 


511069 


52 


9 


469637 


682 


980247 


65 


489390 


747 


510610 


51 


10 
11 


470046 


681 


980208 
9.980169 


65 
65 


489838 
9.490286 


746 


510162 
10.509714 


50 
49 


9.470455 


680 


746 


12 


470863 


680 


980130 


65 


490733 


745 


509267 


48 


13 


471271 


679 


980091 


65 


491180 


744 


508820 


47 


14 


471679 


678 


980052 


65 


491627 


744 


508373 


46 


15 


472086 


678 


980012 


65 


492073 


743 


507927 


45 


16 


472492 


677 


979973 


65 


492519 


743 


507481 


44 


17 


472898 


676 


979934 


66 


492965 


742 


507035 


43 


18 


473304 


676 


979895 


66 


493410 


741 


506590 


42 


19 


473710 


675 


979855 


66 


493854 


740 


506146 


41 


20 

21 


474115 


674 


979816 


66 
66 


494299 
9.494743 


740 


505701 
10.505257 


40 
39 


9.474519 


674 


9.979776 


740 


22 


474923 


673 


979737 


66 


496186 


739 


604814 


38 


23 


475327 


672 


979697 


66 


495630 


738 


504370 


37 


24 


475730 


672 


979658 


66 


496073 


737 


503927 


36 


25 


476133 


671 


979618 


66 


49G515 


737 


503485 


35 


26 


476536 


670 


979579 


66 


496957 


736 


503043 


34 


27 


476938 


669 


979539 


66 


497399 


736 


502601 


33 


28 


477340 


669 


979499 


66 


497841 


735 


5021.59 


32 


29 


477741 


668 


979459 


66 


498282 


734 


501718 


31 


30 
31 


478142 


667 
667 


979420 
9.979380 


66 
66 


498722 


734 
733 


501278 
10.500837 


30 

29 


9.478542 


9.499163 


32 


478942 


666 


979340 


66 


499603 


733 


500397 


28 


33 


479342 


665 


979300 


67 


500042 


732 


499958 


27 


34 


479741 


665 


979260 


67 


500481 


731 


499519 


26 


35 


480140 


664 


979220 


67 


500920 


731 


499080 


25 


36 


480539 


663 


979180 


67 


501359 


730 


498641 


24 


37 


480937 


663 


979140 


67 


501797 


730 


498203 


23 


38 


481334 


662 


979100 


67 


502235 


729 


497755 


22 


39 


481731 


661 


979059 


67 


502672 


728 


497328 


21 


40 
41 


482128 


661 


979019 


67 
67 


503109 


728 


496891 


20 
19 


9.482525 


660 


9.978979 


9.503546 


727 


10.496454 


42 


482921 


659 


978939 


67 


503982 


727 


496018 


18 


43 


48.3316 


659 


978898 


67 


504418 


726 


495582 


17 


44 


483712 


658 


978858 


67 


504854 


725 


495146 


16 


45 


484107 


657 


978317 


67 


•505289 


725 


494711 


15 


46 


484501 


657 


978777 


67 


505724 


724 


494276 


14 


47 


484895 


656 


978736 


67 


506159 


724 


493841 


13 


48 


485289 


655 


978696 


68 


506593 


723 


493407 


12 


49 


485682 


655 


978655 


68 


507027 


722 


492973 


11 


50 
51 


486075 


654 


978615 


68 

68 


507460 
9.507893 


722 
721 


492540 


10 
9 


9.486467 


653 


9.978574 


10.492107 


52 


486860 


653 


978533 


68 


508326 


721 


491674 


8 


53 


487251 


652 


978493 


68 


508759 


720 


491241 


7 


54 


487643 


651 


978452 


68 


509191 


719 


490809 


6 


55 


488034 


651 


978411 


68 


509622 


719 


490378 


5 


56 


488424 


650 


978370 


68 


5100.54 


718 


489946 


4 


57 


488814 


650 


978329 


68 


510485 


718 


489515 


3 


58 


489204 


649 


978288 


68 


510916 


717 


489084 


2 


59 


489593 


648 


978247 


68 


511346 


716 


488654 


1 


60 


489982 


648 


978206 


68 


511776 


716 


488224 t 





n 


Cosine | 


1 


Sine 1 1 


Cotanif. j 




■ia„g. |M.I 



72 Degrees, 



36 


(18 


Degrees.) a 


TABLE or LOGARITHMIC 




M. 1 


Sine j P. \ 


Cosine | D 


Tang. 1 


D 1 


Coiang. I 1 





9.489982 648 


9.978206 68 ( 


9.5U776I 


716 


10.488224 


60 


1 


490371 648 


978165 


68 


512206i 


716 


487794 


59 


2 


490759 647 


978124 


68 


5126.351 


715 


487365 


58 


3 


4911471 646 


978083 


69 


513064 


714 


486936 


57 


4 


491535 646 


978042 


69 


513493 


714 


486507 


56 


5 


491922 645 


978001 


69 


513921 


713 


486079 


55 


6 


4923081 644 


977959 


69 


514349 


713 


485651 


54 


7 


4926951 644 


977918 


69 


514777 


712 


485223 


53 


8 


493081; 643 


977877 


69 


515204 


712 


484796 


52 


9 


493466 642 


977835 


69 


515631 


711 


484369 


51 


10 
11 


493851 1 642 


977794 
9.977752 


69 
69 


516057! 


710 


483943 
10.483516 


50 
49 


9.4942361 641 


9.516484 


710 


12 


494621 641 


977711 


69 


516910) 


709 


483090 


48 


13 


495005 640 


977669 


69 


517335! 


709 


482665 


47 


14 


495388 639 


977628 


69 


5177611 


708 


482239 


46 


15 


495772! 639 


977586 


69 


518185 


708 


481815 


45 


16 


4961541 638 


977544 


70 


518610! 


707 


481390 


44 


17 


496537 


637 


977503 


70 


5190341 


706 


480966 


43 


18 


496919 


637 


977461 


70 


5194581 


706 


480542 


42 


19 


497301 


636 


977419 


70 


519882 


705 


480118 


41 


20 
21 


497682 


636 


977377 
9.977335 


70 
70 


520305 


705 


479695 
10.479272 


40 
39 


9.498064 


635 


9.520728 


704 


22 


498444 


634 


977293 


70 


521151 


703 


478849 


38 


23 


498825 


634 


977251 


70 


521573 


703 


478427 


37 


24 


499204 


633 


977209 


70 


521995 


703 


478005 


36 


25 


499584 


632 


977167 


70 


522417 


702 


477583 


35 


26 


499963 


632 


977125 


70 


522838 


702 


477162 


34 


27 


500342 


631 


977083 


70 


523259 


701 


476741 


33 


28 


500721 


631 


977041 


70 


523680 


701 


476320 


32 


29 


501099 


630 


976999 


70 


524100 


700 


475900 


31 


30 
31 


501476 


629 


976957 


70 
70 


524520 


699 
699 


475480 


30 

29 


9.501854 


629 


9.976914 


9.524939 


10.475061 


32 


502231 


628 


976872 


71 


525359 


698 


474641 


28 


33 


502607 


628 


976830 


71 


525778 


698 


474222 


27 


34 


502984 


627 


976787 


71 


526197 


697 


473803 


26 


35 


603360 


626 


976745 


71 


526615 


697 


473385 


25 


36 


503735 


626 


976702 


71 


527033 


896 


472967 


24 


37 


504110 


625 


976660 


71 


527451 


696 


472549 


23 


38 


504485 


625 


976617 


71 


527868 


695 


472132 


22 


39 


504860 


624 


976574 


71 


528285 


695 


471715 


21 


40 
41 


505234 


623 


976532 


71 
71 


528702 


694 


471298 
0.470881 


20 
19 


9.505608 


623 


9.976489 


9.529119 


693 


42 


505981 


622 


976446 


71 


529535 


693 


470465 


18 


43 


506354 


622 


976404 


71 


529950 


693 


470050 


17 


44 


506727 


621 


976361 


71 


530366 


692 


469634 


16 


45 


507099 


620 


976318 


71 


530781 


691 


469219 


15 


46 


507471 


620 


976275 


71 


531196 


691 


468804 


14 


47 


507843 


619 


976232 


72 


531611 


690 


468389 


13 


48 


508214 


619 


976189 


72 


532025 


690 


467975 


12 


49 


508585 


618 


976146 


72 


532439 


689 


467561 


11 


50 
51 


508956 


618 


976103 


72 
72 


532853 


689 


467147 


10 
9 


9.509326 


617 


9.976060 


9.533266 


688 


10.466734 


52 


509696 


616 


976017 


72 


533679 


688 


466321 


8 


53 


510065 


616 


975974 


72 


534092 


687 


465908 


7 


54 


510434 


615 


975930 


72 


534504 


687 


465496 


6 


55 


510803 


615 


97588? 


72 


534916 


686 


465084 


5 


56 


511172 


614 


975844 


72 


535328 


686 


464672 


4 


57 


511540 


613 


975800 


72 


535739 


685 


464261 


3 


58 


511907 


613 


975757 


72 


536150 


685 


463850 


2 


59 


512275 


612 


975714 


72 


536561 


684 


463439 


1 


60 


512642 


612 


975670 


72 


536972 


684 


463028 





^ 


1 Cosine | 


1 Sine 1 


1 Cotan^. 


1 


1 Tang. ( M. 



71 Degrees. 





SINES a:sd tangents. (19 Degrees 


.) 


37 


nn 


Sine 1 


D. 1 


Cosine 


D. 1 


Tang. 1 


D. 1 


Cotang. 1 





9.512642 


612 


9.975670 


73 


9.536972 


684 


10.463028 


60 


1 


513009 


611 


975627 


73 


537382 


683 


462618 


59 


2 


513375 


611 


975583 


73 


537792 


683 


462208 


58 


3 


513741 


610 


975539 


73 


638202 


682 


461798 


57 


4 


514107 


609 


975496 


73 


538611 


682 


461389 


66 


5 


514472 


609 


975452 


73 


539020 


681 


460980 


56 


6 


514837 


608 


975408 


73 


539429 


681 


460571 


54 


7 


515202 


608 


975365 


73 


539837 


680 


460163 


53 


8 


515566 


607 


975321 


73 


540245 


680 


459755 


52 


9 


515930 


607 


975277 


73 


540653 


679 


459347 


51: 


10 
11 


516294 
9.516657 


606 
605 


976233 


73 
73 


541061 


679 


458939 
10.458532 


50 

49 


9.975189 


9.541468 


678 


12 


517020 


605 


976145 


73 


641875 


678 


458125 


48 


13 


517382 


604 


975101 


73 


542281 


677 


457719 


47 


14 


517745 


604 


975057 


73 


642688 


677 


457312 


46 


15 


518107 


603 


975013 


73 


643094 


676 


456906 


45 


16 


518468 


603 


974969 


74 


543499 


676 


456501 


44 


17 


518829 


602 


974925 


74 


543906 


675 


456096 


43 


18 


519190 


601 


974880 


74 


644310 


675 


455690 42 t 


19 


519551 


601 


974836 


74 


644716 


674 


455285 


41 


20 

21 


519911 


600 


974792 


74 
74 


545119 


674 


454881 
10.464476 


40 
39 


9.520271 


600 


9.974748 


9.546524 


673 


22 


520631 


599 


974703 


74 


545928 


673 


454072 


38 


23 


520990 


599 


974659 


74 


646331 


672 


453669 


37 


24 


621349 


598 


974614 


74 


646735 


672 


453265 


36 


25 


521707 


598 


974670 


74 


647138 


671 


452862 


35 


26 


522066 


597 


974525 


74 


547640 


671 


452460 


34 


27 


522424 


696 


974481 


74 


647943 


670 


452057 


33 


28 


522781 


696 


974436 


74 


548345 


670 


451655 


32 


29 


523138 


595 


974391 


74 


548747 


669 


451253 


31 


30 
31 


523495 


595 


974347 
9.974302 


75 
75 


549149 


669 


450851 
10.450450 


30 

29 


9.523852 


594 


9.549550 


668 


32 


624208 


694 


974257 


75 


549951 


668 


450049 


28 


33 


524564 


593 


974212 


75 


550352 


667 


449648 


27 


34 


524920 


593 


974167 


75 


650752 


687 


449248 


26 


35 


525275 


692 


974122 


75 


551152 


666 


448848 


25 


36 


525630 


591 


974077 


75 


651552 


666 


448448 


24 


37 


525984 


591 


974032 


75 


651952 


665 


448048 


23 


38 


626339 


590 


973987 


76 


552351 


665 


447649 


22 


39 


526693 


590 


973942 


75 


652750 


665 


447250 


21 


40 
41 


527046 


689 


973897 


76 

75 


653149 
9.553548 


664 


446851 


20 
19 


9.527400 


589 


9.973852 


664 


10.446452 


42 


527753 


588 


973807 


76 


653946 


663 


446054 


18 


43 


528105 


588 


973761 


75 


654344 


663 


445656 


17 


44 


528458 


687 


973716 


76 


654741 


662 


445259 


16 


45 


528810 


587 


973671 


76 


555139 


662 


444861 


16 


46 


529161 


586 


973625 


76 


555536 


661 


444464 


14 


47 


529513 


586 


973580 


76 


565933 


661 


444067 


13 


48 


529864 


685 


973535 


76 


556329 


660 


443671 


12 


49 


530215 


586 


973489 


76 


656725 


660 


443275 


11 


50 
51 


530565 


584 


973444 


76 
76 


657121 
9.567517 


659 
659 


442879 


10 
9 


9.530915 


584 


9.973398 


10.442483 


52 


531265 


583 


973352 


76 


667913 


669 


442087 


8 


53 


531614 


582 


973307 


76 


658308 


658 


441692 


7 


54 


531963 


682 


973261 


76 


568702 


658 


441298 


6 


55 


532312 


581 


973215 


76 


659097 


657 


440903 


5 


56 


532661 


581 


973169 


76 


559491 


657 


440509 


4 


57 


53300C 


580 


973124 


76 


569885 


656 


440115 


3 


58 


53335< 


' 680 


973078 


76 


660279 


656 


439721 


2 


59 


53370^ 


1 679 


97303S 


, 77 


560673 


655 


439327 


1 


60 


534055 


I 578 


9729861 77 


561066 


655 


438934 





H 


I Cosine 


1 


1 Sine 1 


1 Cotang. 


1 


1 Tan?. 1 M. j 



70 Degrees. 



38 


(20 Degrees.) a 


TABLE OF LOGARITHMIC 




:I. 


1 Sine 


1 D. 


1 Co-ine | D. 


1 Tang. 


i D 


1 Cola.^. 1 1 


"o" 


9.5340521 578 


9.972986 77 


9.561066 


655 


10.438934 


60 


1 


534399 


577 


972940 77 


561459 


654 


438541 


59 


2 


534745 


677 


972894 77 


561851 


654 


438149 


58 


3 


635092 


577 


972848 77 


662244 


653 


437756 


57 


4 


535438 


676 


972802 77 


562636 


653 


437364 


56 


5 


535783 


576 


972755 


77 


563028 


653 


436972 


55 


6 


536129 


676 


972709 


. 77 


563419 


652 


436581 


54 


7 


536474 


674 


972663 


77 


663811 


652 


436189 


53 


8 


536818 


574 


972617 


77 


664202 


651 


435798 


52 


9 


637163 


573 


972570 


77 


564692 


651 


435408 


51 


10 
11 


637607 
9.637851 


573 


972524 
9.972478 


77 
77 


664983 


650 


435017 
10.434627 


50 

49 


672 


9.665373 


650 


12 


638194 


672 


972431 


78 


665763 


649 


434237 


48 


13 


638538 


571 


972385 


78 


566153 


649 


433847 


47 


14 


538880 


571 


972338 


78 


566542 


649 


433458 


46 


15 


639223 


670 


972291 


78 


566932 


648 


433068 


45 


16 


639565 


670 


972245 


78 


567320 


648 


432680 


44 


17 


639907 


569 


972198 


78 


567709 


647 


432291 


43 


18 


640249 


569 


972151 


78 


668098 


647 


431902 


42 


19 


540690 


668 


972105 


79 


668486 


646 


431514 


41 


20 

21 


540931 


668 


972058 


78 
78 


568873 


646 


431127 


40 
39 


9.641272 


667 


9.972011 


9.569261 


645 


10.430739 


22 


541613 


567 


971964 


78 


569648 


645 


430352 


38 


23 


541953 


566 


971917 


78 


570035 


645 


429965 


37 


24 


642293 


566 


971870 


78 


670422 


644 


429578 


36 


25 


64263'2 


565 


971823 


78 


670809 


644 


429191 


35 


26 


542971 


565 


971776 


78 


671195 


643 


428805 


34 


27 


543310 


664 


971729 


79 


571581 


643 


428419 


33 


28 


643649 


664 


9716S2 


79 


671967 


642 


428033 


32 


29 


643987 


663 


971635 


79 


572352 


642 


427648 


31 


30 
31 


644^25 


663 


971588 
9.971540 


79 

79 


672738 


642 


427262 


30 

29 


9.544663 


662 


9.573123 


641 


10.426877 


32 


545000 


562 


971493 


79 


673507 


641 


425493 


28 


33 


545338 


561 


971446 


79 


573892 


640 


426108 


27 


34 


545674 


561 


971398 


79 


574276 


640 


425724 


26 


35 


546011 


560 


971351 


79 


574660 


639 


425340 


25 


36 


646347 


560 


971303 


79 


575044 


639 


424956 


24 


37 


646683 


569 


971256 


79 


675427 


639 


424573 


23 


38 


547019 


559 


971208 


79 


675810 


638 


424] 90 


22 


39 


547364 


568 


971161 


79 


576193 


638 


423807 


21 


40 
41 


547689 


658 


971113 
9.971066 


79 
80 


576576 


637 


423424 


20 

19 


9.548024 


557 


9.576958 


637 


10.423041 


42 


648369 


557 


971018 


80 


577341 


636 


422659 


18 


43 


548693 


656 


970970 


80 


577723 


636 


422277 


17 


44 


549027 


656 


970922 


80 


578104 


636 


421896 


16 


45 


649360 


665 


970874 


80 


678486 


635 


421514 


15 


46 


649693 


655 


970827 


80 


578867 


635 


421133 


14 


47 


550026 


564 


970779 


80 


679248 


634 


420752 


13 


48 


550359 


654 


970731 


80 


579629 


634 


420371 


12 


49 


550692 


563 


970683 


80 


580009 


634 


419991 


11 


50 
51 


551024 
9.561356 


553 


970635 


80 
80 


580389 


633 


419611 
10.419231 


10 
9 


652 


9.970586 


9.580769 


633 


52 


551687 


652 


970538 


80 


681149 


632 


418851 


8 


53 


662018 


652 


970490 


80 


581528 


632 


418472 


7 


54 


662349 


551 


970442 


80 


681907 


632 


418093 


6 


55 


652680 


551 


970394 


80 


682286 


631 


417714 


5 


56 


553010 


650 


970345 


81 


582665 


631 


417335 


4 


57 


553341 


650 


970297 


81 


583043 


630 


416957 


3 


58 


653670 


549 


970249 


81 


583422 


630 


416578 


2 


59 


564000 


549 


970200 


81 


583800 


629 


416200 


1 


60 


5.54329 


548 


970152 


81 


584177 


629 


415823 







Cosiue 




Sine j 


Cotang. 1 




Tang. 1 M. ( 



€9 Degrees. 





SINES AND TANGENTS 


. (21 Degrees.) 39 


:-l 


Sine 1 


... 1 


(VM.e 1 D. I 


Tn... 1 


D. 1 


< otang. I 


=r= 


} . 554329 


548 


9.970152 


81 


9.584177 


629 


10.415823 60 


1 


554658 


548 


970103 


81 


584555 


629 


415445 59 


2 


554987 


547 


970055 


81 


584932 


628 


415068 58 


3 


555315 


547 


970006 


81 


585309 


628 


414691 57 


4 


555643 


546 


969957 


81 


585686 


627 


4143-14 56 


5 


555971 


546 


969909 


81 


586062 


627 


413938 55 


6 


556299 


545 


969860 


81 


586439 


627 


413561 54 


7 


556626 


545 


969811 


81 


586815 


626 


413185 53 


8 


556953 


544 


969762 


81 


587190 


626 


412810 52 


9 


557280 


544 


969714 


81 


587566 


625 


412434 51 


10 
11 


557606 


543 


969665 


81 

82 


587941 


625 


412059 50 
10.411684 49 


9.557932 


543 


9.969616 


9.588316 


625 


12 


558258 


543 


969567 


82 


588691 


624 


411309 48 


13 


558583 


542 


969518 


82 


589066 


624 


410934 47 


14 


558909 


542 


969469 


82 


589440 


623 


410560 46 


15 


559234 


541 


969420 


82 


589814 


623 


410186 45 


16 


559558 


541 


969370 


82 


590188 


623 


409812 44 


17 


559883 


540 


969321 


82 


590562 


622 


409438 43 


18 


560207 


540 


969272 


82 


590935 


622 


409065 42 


19 


560531 


539 


969223 


82 


591308 


622 


408692 41 


20 
21 


560855 


539 


969173 


82 
82 


691681 
9.592054 


621 
621 


408319 40 


9.561178 


538 


9.969124 


10.407946 39 


22 


561501 


538 


969075 


82 


592426 


620 


407574 38 


23 


561824 


537 


969025 


82 


592798 


620 


407202 37 


24 


562146 


537 


968976 


82 


593170 


619 


406829 36 


25 


562468 


536 


968926 


83 


593542 


619 


406458 35 


26 


562790 


536 


968877 


83 


593914 


618 


406086 34 


27 


563112 


536 


968827 


83 


594285 


618 


405715 33 


28 


563433 


535 


968777 


83 


594656 


618 


405344 32 


29 


563755 


535 


968728 


83 


595027 


617 


404973 31 


30 
31 


564075 


534 


968678 
9.968628 


83 
83 


595398 
9.595768 


617 
617 


404602 30 


9.564396 


534 


10.404232 29 


32 


564716 


533 


968578 


83 


596138 


616 


403862 28 


33 


565036 


533 


968528 


83 


596508 


616 


403492 27 


34 


565356 


532 


968479 


83 


596878 


616 


403122 26 


35 


565676 


532 


968429 


83 


597247 


615 


402753 25 


36 


565995 


531 


968379 


83 


597616 


615 


402384 24 


37 


566314 


531 


9683.29 


83 


597985 


615 


402015 23 


38 


566632 


531 


968278 


83 


598354 


614 


401646 22 


39 


566951 


530 


968228 


84 


598722 


614 


401278 21 


40 
41 


567269 


530 


968178 
9.968128 


84 
84 


599091 


613 


400909 20 
10.400541 19 


9.567587 


529 


9.599459 


613 


42 


567904 


529 


968078 


84 


599827 


613 


400173 18 


43 


568222 


528 


968027 


84 


600194 


612 


399806 17 


44 


56853S 


528 


96797? 


84 


600562 


612 


399438 16 


45 


568856 


528 


967927 


84 


60092S 


611 


399071 15 


46 


569 17S 


, 527 


96787€ 


84 


601296 


611 


398704 14 


47 


56948$ 


527 


967826 


84 


601665 


611 


398338 13 


48 


56980^ 


i 526 


96777£ 


) 84 


60202i 


610 


397971 12 


49 


570 12( 


) 526 


96772f 


» 84 


60239: 


) 610 


397605 11 


50 


57043i 


i 525 


96767^ 


t 84 


60276] 


L 610 


397239 10 


51 


9.57075 


L 525 


9.96762^ 


i 84 


9.60312' 


r 609 


10.396873 9 


52 


57106 


5 524 


96757J 


i 84 


60349J 


J 609 


396507 8 


53 


57138( 


) 524 


96752' 


I 85 


60385f 


i 609 


396142 7 


54 


57169 


3 523 


96747 


I 85 


60422J 


J 608 


395777 6 


55 


57200 


9 523 


96742 


1 85 


60458^ 


3 608 


395412 5 


56 


57232 


3 523 


96737 


3 85 


60495 


3 607 


395047 4 


57 


57263 


6 522 


96731 


3 85 


60531 


7 607 


394683 3 


58 


57295 


522 


96726 


3 85 


60568 


2 607 


394318 2 


59 


57326 


3 521 


96721 


7 85 


60604 


3 606 


393954 1 


J60 


57357 


5 521 


96716 


8 85 


6064K 


3 606 


393590 




I Cosine 


1 


1 Sine 1 


j Cotaiig. 


1 


j Tang. 1 M. 








( 


38 Dt 


.grecs. 







40 


(22 Degrees.) a 


TABLE OF L'OGARITHMIC 




M. 


1 Sine 


1 D. 


1 Cosine | D. 


1 Tang. 


1 D. 


1 Cotang. 


PI 


T 


9.573575 


521 


9.967166 


85 


9.606410 


606 


10.393590 


60 


1 


573888 


520 


967115 


85 


606773 


606 


393227 


59 


2 


574200 


520 


967064 


85 


607137 


605 


392863 


58 


3 


574512 


519 


967013 


85 


607500 


605 


392500 


57 


4 


574824 


519 


966961 


85 


607863 


604 


392137 


56 


5 


575136 


519 


966910 


85 


608225 


604 


391775 


55 


6 


575447 


518 


966859 


85 


608588 


604 


391412 


54 


7 


575758 


518 


966808 


85 


608950 


603 


391050 


53 


8 


576069 


517 


966756 


86 


609312 


603 


390688 


52 


9 


576379 


517 


966705 


86 


609674 


603 


390326 


51 


10 
11 


576689 


516 


966653 


86 
86 


610036 


602 


389964 
10.389603 


50 
49 


9.576999 


516 


9.966602 


9.610397 


602 


12 


577309 


516 


966550 


86 


610759 


602 


389241 


48 


13 


577618 


515 


966499 


86 


611120 


601 


388880 


47 


14 


577927 


515 


966447 


86 


611480 


601 


388520 


46 


15 


578236 


514 


966395 


86 


611841 


601 


388159 


45 


16 


678545 


514 


966344 


86 


612201 


600 


387799 


44 


17 


578853 


513 


966292 


86 


612561 


600 


387439 


43 


18 


579162 


513 


966240 


86 


612921 


600 


387079 


42 


19 


579470 


513 


966188 


86 


613281 


599 


386719 


41 


20 
21 


579777 


512 


966136 
9 966085 


86 

87 


613641 


599 


386359 
10.386000 


40 
39 


9.580085 


512 


9.614000 


598 


22 


580392 


511 


966033 


87 


614359 


598 


385641 


38 


23 


580699 


511 


965981 


87 


614718 


598 


385282 


37 


24 


581005 


511 


965928 


87 


615077 


597 


384923 


36 


25 


581312 


510 


965876 


87 


615435 


597 


384565 


35 


26 


581618 


510 


965824 


87 


615793 


597 


384207 


34 


27 


581924 


509 


965772 


87 


616151 


596 


383849 


33 


28 


582229 


509 


965720 


87 


616509 


596 


383491 


32 


29 


582535 


509 


965668 


87 


616867 


596 


383133 


31 


30 
31 


582840 


508 


965615 


87 
87 


617224 


595 


382776 


30 
29 


9.583145 


508 


9.965563 


9 617582 


595 


10.382418 


32 


583449 


507 


965511 


87 


617939 


595 


382061 


28 


33 


583754 


507 


965458 


87 


618295 


594 


381705 


27 


34 


584058 


506 


965406 


87 


618652 


594 


381348 


26 


35 


584361 


506 


965353 


88 


619008 


594 


380992 


25 


36 


584665 


506 


965301 


88 


619364 


593 


380636 


24 


37 


584968 


505 


965248 


88 


619721 


593 


380279 


23 


38 


585272 


505 


965195 


88 


620076 


593 


379924 


22 


39 


585574 


504 


965143 


88 


620432 


592 


379568 


21 


40 

41 


585877 


504 


965090 
9.965037 


88 
88 


620787 


592 


379213 

10.378858 


20 
19 


9.586179 


503 


9.621142 


592 


42 


586482 


503 


964984 


88 


621497 


591 


378503 


18 


43 


586783 


503 


964931 


88 


621852 


591 


378148 


17 


44 


587085 


502 


964879 


88 


622207 


590 


377793 


16 


45 


587386 


502 


964826 


88 


622561 


590 


377439 


15 


46 


587688 


501 


964773 


88 


622915 


590 


377085 


14 


47 


587989 


501 


964719 


88 


623269 


589 


376731 


13 


48 


588289 


501 


964666 


89 


623623 


589 


376377 


12 


49 


588590 


500 


964613 


89 


623976 


589 


376024 


11 


50 
51 


588890 


500 


964560 
9.964507 


89 
89 


624330 
9.624683 


588 

588 


375670 


10 
9 


9.589190 


499 


10.375317 


52 


589489 


499' 


964454 


89 


625036 


588 


374964 


8 


53 


589789 


499 


964400 


89 


625388 


687 


374612 


7 


54 


590088 


498 


964347 


89 


625741 


587 


374259 


6 


55 


590387 


498 


964294 


89 


626093 


587 


373907 


5 


56 


590686 


497 


964240 


89 


626445 


586 


373555 


4 


57 


590984 


497 


964187 


89 


626797 


586 


373203 


3 


58 


591282 


497 


964133 


89 


627149 


686 


372851 


2 


59 


591580 


496 


964080 


89 


627501 


585 


372499 


1 


60 


591878 


496 


964026 89 


627852 


585 


372148 







Cosine 1 




Sine 1 


Cotang. 1 




1 Tang. 1 M. | 



67 Degress. 





SINES AND TANGENTS. (23 Degrees.) 


41 


M. 


Sine 


D. 


Cosine 1 D. 


Tang. 1 


D. 


Cotang. 1 1 





9.591878 


496 


9.964026 


89 


9.627852 


585 


10.372148 


60: 


1 


592176 


495 


963972 


89 


628203 


585 


371797 


59; 


2 


592473 


495 


963919 


89 


628554 


585 


371446 


58^ 


3 


592770 


495 


963865 


90 


628905 


584 


371095 


57: 


4 


593067 


494 


963811 


90 


629255 


584 


370745 


56 


5 


593363 


494 


963757 


90 


629606 


583 


370394 


55 


6 


593659 


493 


963704 


90 


629956 


583 


370044 


54 


7 


593955 


493 


963650 


90 


630306 


583 


369694 


53 


8 


694251 


493 


963596 


90 


630656 


583 


369344 


62 


9 


594547 


492 


963542 


90 


631005 


582 


368995 


51 


10 
11 


594842 
9.595137 


492 


963488 


90 
90 


631355 


582 


368645 


50 

49: 


491 


9.963434 


9.631704 


582 


10.368296 


12 


595432 


491 


963379 


90 


632053 


581 


367947 


48; 


13 


595727 


491 


963325 


90 


632401 


581 


367599 


47- 


14 


596021 


490 


963271 


90 


632750 


581 


367250 


46 


15 


596315 


490 


963217 


90 


633098 


580 


366902 


45 


16 


596609 


489 


963163 


90 


633447 


580 


366553 


44 


17 


.596903 


489 


963108 


91 


633795 


580 


366205 


43 


18 


597196 


489 


963054 


91 


634143 


579 


365857 


42 


19 


597490 


488 


962999 


91 


634490 


579 


365510 


41 


20 

21 


597783 


488 


962945 


91 
91 


634838 


579 


365162 


40 
39 


9.598075 


487 


9.962890 


9.635185 


578 


10.364815 


22 


598368 


487 


962836 


91 


635532 


578 


364468 


38 


23 


598660 


487 


962781 


91 


635879 


578 


364121 


37 


24 


598952 


486 


962727 


91 


636226 


577 


363774 


36 


25 


599244 


486 


962672 


91 


636572 


577 


363428 


35 


26 


599536 


485 


962617 


91 


636919 


577 


36.3081 


34 


27 


599827 


485 


962562 


91 


637265 


577 


362735 


33 


28 


600118 


485 


962508 


91 


637611 


576 


362389 


32 


29 


600409 


484 


962453 


91 


637956 


576 


362044 


31 


30 
31 


600700 
9.600990 


484 
484 


962398 


92 
92 


638302 
9.638647 


576 


361698 
10.361353 


30 

29 


9.962343 


575 


32 


601280 


483 


962288 


92 


638992 


575 


361008 


28 


33 


601570 


483 


962233 


92 


639337 


575 


360663 


27 


34 


601860 


482 


962178 


92 


639682 


574 


360318 


26 


35 


602150 


482 


962123 


92 


640027 


574 


359973 


25 


36 


602439 


482 


962067 


92 


640371 


574 


359629 


24 


37 


602728 


481 


962012 


92 


640716 


573 


359284 


23 


38 


603017 


481 


961957 


92 


641060 


573 


358940 


22 


39 


603305 


481 


961902 


92 


641404 


573 


358596 


21 


40 
41 


603594 


480 


961846 


92 
92 


641747 


572 


358253 


20 
19 


9.603882 


480 


9.961791 


9.642091 


572 


10.357909 


42 


604170 


479 


961735 


92 


642434 


572 


357566 


18 


43 


604457 


479 


961680 


92 


642777 


572 


357223 


17 


44 


604745 


479 


961624 


93 


643120 


571 


356880 


16 


45 


605032 


478 


961569 


93 


643463 


571 


356537 


15 


46 


605319 


478 


961513 


93 


643806 


571 


356194 


14 


47 


605606 


478 


961458 


93 


644148 


570 


355852 


13 


48 


605892 


477 


961402 


93 


644490 


570 


355510 


12 


49 


606179 


477 


961346 


93 


644832 


570 


355168 


11 


50 
51 


606465 
9.606751 


476 


961290 


93 
93 


645174 


569 


354826 


10 
9 


476 


9.961235 


9.645516 


569 


10.354484 


52 


607036 


476 


961179 


93 


645857 


569 


354143 


8 


53 


607322 


475 


961123 


93 


646199 


569 


353801 


7 


54 


607607 


475 


961067 


93 


646540 


568 


353460 


6 


55 


607892 


474 


961011 


93 


646881 


568 


353119 


5 


56 


608177 


474 


960955 


93 


647222 


568 


352778 


4 


57 


608461 


474 


960899 


93 


647562 


567 


352438 


3 


58 


608745 


473 


960843 


94 


647903 


567 


352097 


2 


59 


609029 


473 


960786 


94 


648243 


567 


351757 


1 


60 


609313 


473 


960730 


94 


648583 


586 


361417 







Cosine 




1 Sine 1 


Cotang, 


1 


1 Tang |>1.| 



Degrees. 

F 



4a 


(2'4 Degrees.) a 


TABLE OF L0GAEITH3UC 




M 


Sine 


1 D. 


i'u^^ine 1 D. 


Tai.g. 


D. 


Corang. | | 





9.609313 


473 


9.960730 


94 


9.648583! 


566 


10.351417 


60 


1 


609597 


472 


960674 


94 


648923' 


566 


351077 


59 


2 


609880 


472 


960618 


94 


649263' 


566 


350737 


58 


3 


610164 


472 


960561 


94 


649602: 


566 


350398 


57 


4 


610447 


471 


960505 


94 


649942! 


565 


350058 


56 


6 


610729 


471 


960448 


94 


650281: 


565 


349719 


55 


6 


611012 


470 


960392 


94 


650620! 


565 


349380 


54 


7 


611294 


470 


960335 


94 


650959: 


564 


349041 


53 


8 


611576 


470 


960279 94 


651297: 


564 


34S703 


52 


9 


611858 


469 


9602221 94 


651636, 


564 


348364 


51 


10 
11 


612140 


469 


960165 
9.960109 


94 
95 


651974! 


563 


348026 
10.347688 


50 
49 


9.612421 


469 


9.652312; 


563 


12 


612702 


468 


960052 


95 


652650; 


563 


347350 


48 


13 


612983 


468 


959995 


95 


6529881 


563 


34 7012 


47 


14 


613264 


467 


959938 


95 


653326! 


562 


. 346674 


46 


15 


613545 


467 


959882 


95 


653663! 


562 


346837 


45 


Ifi 


613825 


467 


959825 


95 


6540001 


.562 


346000 


44 


17 


614105 


466 


9597«8 


95 


654337. 


561 


345663 


43 


18 


614385 


466 


959711 


95 


654674 


561 


345326 


42 


19 


614665 


466 


959654 


95 


65501 1! 


561 


3449 S 9 


41 


20 
21 


614944 
9.615223 


465 
465 


959596 


95 
95 


6553481 


581 


344652 


40 
39 


9.959539 


9.6556S4i 


560 


10.344316 


22 


615502 


465 


959482 


95 


6560201 


560 


343980 


38 


23 


615781 


464 


959425 


95 


656356! 


560 


343644 


37 


24 


616060 


464 


959368 


95 


656692^ 


559 


343308 


36 


25 


616338 


464 


959310 


96 


6570->8' 


559 


342972 


35 


26 


616616 


463 


959253 


96 


657364 


559 


342636 


34 


27 


616894 


463 


959195 96 


657699 


559 


342301 


33 


28 


617172 


462 


959138 96 


65S034 


558 


341966 


32 


:.'9 


617450 


462 


959081 96 


658339 


558 


341631 


31 


30 
31 


617727 
9.618004 


462 


959023 


96 
£6 


658704 


558 


341296 
10.340961 


30 
29 


461 


9.958965 


9.659039 


558 


32 


618281 


461 


958908 


S6 


659373 


557 


340627 


28 


33 


618558 


461 


958850 


96 


659708 


557 


340292 


27 


34 


618834 


460 


958792 


96 


660042 


557 


339953 


26 


35 


619110 


460 


958734 


96 


660376 


557 


339624 


25 


36 


6193S6 


460 


958677 


96 


660710 


556 


339290 


24 


37 


619662 


459 


958619 


96 


661043 


556 


33S957 


23 


38 


619938 


459 


9585611 9 a 


661377 


556 


338623 


22 


39 


620213 


459 


958503! 97 


661710 


555 


338290 


21 


40 
41 


620488 


458 


958445 


97 
,97 


662043 


555 


337957 


20 
19 


9.620763 


• 458 


9.958387 


9.662376 


555 


10.337624 


42 


621038 


457 


95S;329l 97 


662709 


5.54 


337291 


18 


43 


621313 


457 


9582^1' 97 


663042 


554 


336958 


17 


44 


621587 


457 


958215: 97 


663375 


554 


. 336625 


16 


45 


621861 


456 


958154: b7 


663707 


5.54 


336293 


15 


46 


622135 


456 


958096 97 


664039 


553 


335961 


14 


47 


622409 


456 


958038' 97 


664371 


553 


335629 


13 


48 


622682 


455 


957979; 97 


664703 


553 


335297 


12 


49 


622956 


, 455 


957921197 


665035 


553 


334965 


11 


50 
51 


623229 


' 455 


957863! 97 
9.957804, 97 


665366 


552 


334634 
10.334303 


10 
9 


9.623502 


454 


9.665697 


552 


52 


623774 


i 454 


957746 98 


666029 


552 


.333971 


8 


53 


624047 


1 454 


957687 98 


666360 


551 


333640 


7 


54 


624319 


! 453 


957628! 98 


666691 


551 


333309 


6 


55 


624591 


i 453 


957570; 98 


667021 


551 


332979 


5 


56 


624863 


453 


957511 98 


667352 


551 


332648 


4 


57 


625135 


452 


957452 98 


667682 


550 


332318 


3 


58 


625406 


452 


957393J 98 


668013 


550 


331987 


2 


59 


625677 


452 


9573351 98 


668343 


550 


331657 


1 


60 


625948 


1 451 


9572761 98 


668672 


550 


331328 







1 CosiT.f- 




1 Si . , 


r-iHP.2 




1 ^«-- PM 



65 Degrees. 





SINES AND TANGENTS 


(25 Degrees. 


) 


4S 




mA 


Sine 1 


D. 


Cosine | P. 


Taog 1 


D. 


Coiang. 1 I 







9.625948 


451 


9.957276 


981 


9.668673 


550 


10.3313271 


60 




1 


626219 


451 


957217 


98" 


669002 


549 


330998 


59 




2 


626490 


451 


957158 


98 


669332 


549 


330668 


58 




3 


626760 


450 


957099 


98 


669661 


549 


330339 


57 




4 


627030 


450 


957040 


98 


669991 


548 


330009 


56 




5 


627300 


450 


956981 


98 


670320 


548 


329680 


55 




6 


627570 


449 


956921 


99 


670649 


548 


329351 


54 






627840 


449 


956862 


99 


670977 


548 


329023 


53 




8 


628109 


449 


956803 


99 


671306 


547 


328694 


52 




9 


628378 


448 


956744 


99 


671634 


547 


328366 


51 




10 
11 


628647 


448 


956684 
9.956625 


99 
99 


671963 


547 


328037 


50 
49 




9.628916 


447 


9.672291 


547 


10.327709 




12 


629185 


447 


956566 


99 


672619 


546 


327381 


48 




13 


629453 


447 


956506 


99 


672947 


546 


327053 


47 




14 


629721 


446 


956447 


99 


673274 


546 


326726 


46 




15 


629989 


446 


956387 


99 


673602 


546 


326398 


45 




16 


630257 


446 


956327 


99 


673929 


545 


326071 


44 




17 


630524 


446 


956268 


99 


674257 


545 


325743 


43 




18 


630792 


445 


956208 


100 


674584 


545 


325416 


42 




19 


631059 


445 


956148 


100 


674910 


544 


325090 


41 




20 
21 


631326 


445 


956089 


100 
100 


675237 


544 


324763 


40 
39 




9.631593 


444 


9.956029 


9.675564 


544 


10.324436 




'/i'i 


631859 


444 


955969 


100 


675890 


544 


324110 


38 




'ZS 


632125 


444 


955909 


100 


676216 


543 


323784 


37 




24 


632392 


443 


955849 


100 


676543 


543 


323457 


36 




25 


632658 


443 


955789 


100 


676869 


543 


323131 


35 




26 


632923 


443 


955729 


100 


677194 


543 


322806 


34 




27 


633189 


442 


955669 


100 


677520 


542 


322480 


33 




28 


633454 


442 


955609 


100 


677846 


542 


322154 


32 




29 


633719 


442 


955548 


100 


678171 


542 


321829 


31 




30 

31 


633984 


441 


955488 
9.955428 


100 

Tor 


678496 
9.678821 


542 
541 


321504 
ia.321179 


30 
29 




9.634249 


441 




32 


634514 


440 


955368 


101 


679146 


541 


320854 


28 




33 


634778 


440 


955307 


101 


679471 


541 


320529 


27 




34 


635042 


440 


955247 


101 


679795 


541 


320205 


26 




35 


635306 


439 


955186 


101 


680120 


540 


319880 


25 




36 


635570 


439 


955126 


101 


680444 


540 


319556 


24 




37 


635834 


439 


955065 


101 


680768 


540 


319232 


23 




38 


636097 


438 


955005 


101 


681092 


540 


318908 


22 




39 


636360 


438 


954944 


101 


681416 


539 


318584 


21 




40 
41 


636623 


438 
437 


954883 
9.954823 


101 
101 


681740 
9.682063 


539 
539 


318260 


20 
19 




9.636886 


10.317937 




42 


637148 


437 


954762 


101 


682387 


539 


317613 


18 




43 


637411 


437 


95470 J 


101 


682710 


538 


317290 


17 




44 


637673 


437 


954640 


101 


683033 


538 


316967 


16 




45 


637935 


436 


954579 


101 


683356 


538 


316644 


15 




46 


638197 


436 


954518 


102 


683679 


538 


316321 


14 




47 


638458 


436 


954457 


102 


684001 


537 


315999 


13 




48 


638720 


435 


954396 


102 


684324 


537 


315676 


12 




49 


638981 


435 


954335 


102 


684646 


537 


315354 


11 




50 

51 


639242 


435 


954274 
9.954213 


102 
102 


684968 
9.685290 


537 


315032 


10 
9 




9.639503 


434 


536 


10.314710 




52 


639764 


434 


954152 


102 


685612 


536 


314388 


8 




53 


640024 


434 


954090 


102 


685934 


536 


314066 


7 




54 


640284 


433 


954029 


102 


686255 


536 


313745 


6 




55 


640544 


433 


953968 


102 


686577 


535 


313423 


5 




56 


640804 


433 


953906 


102 


686898 


535 


313102 


4 




57 


641064 


432 


953845 


102 


687219 


535 


312781 


3 




58 


641324 


432 


953783 


102 


687540 


535 


31246C 


2 




59 


641584 


432 


953722 


103 


687861 


534 


31213£ 


1 




60 


641842 


431 


953660 


103 


688182 


534 


31181? 









1 Cosine 


1 


1 Sine 1 


Colang 


1 


I Ta«g. 1 M. 





64 Degrees. 



44 



(26 Degrees.) a table of logarithmic 



M. 


1 Sine 


D. 


Cosine j D. 


1 T..... 


I'-D. 


1 Cotang. 1 1 





9.641842 


( 431 


9.953660 


103 


(9.688182! 534 


10.311818 


"60 


1 


642101 


431 


953599 


103 


688502 


534 


311498 


59 


2 


642360 


431 


953537 


103 


688823 


; 534 


311177 


58 


3 


642618 


430 


953475 


103 


' 689143 


i 533 


310857 


57 


4 


642877 


430 


953413 


103 


' 689463 


i 533 


310537 


56 


5 


643135 


430 


953352 


103 


689783 


533 


310217 


55 


6 


643393 


430 


953290 


103 


690103 


1 533 


309897 


54 


7 


643650 


429 


953228 


103 


690423 


533 


309577 


53 


8 


643908 


429 


953166 


103 


690742 


? 532 


309253 


52 


9 


644165 


429 


953104 


103 


691062 


: 532 


308938 


51 


1^ 


644423 


428 


953042 


103 

104 


691381 


532 


308619 
10.308300 


50 
49 


9.644680 


428 


9.952980 


9.691700 


531 


12 


644936 


428 


952918 


104 


692019 


531 


.307981 


48 


13 


645193 


427 


952855 


104 


692338 


531 


307662 


47 


14 


645450 


427 


952793 


104 


692656 


, 531 


307344 


46 


15 


645706 


427 


952731 


104 


692975 


531 


307025 


45 


16 


645962 


426 


952669 


104 


693293 


530 


306707 


44 


17 


646218 


426 


952606 


104 


693612 


530 


306388 


43 


18 


646474 


426 


952544 


104 


693930 


, 530 


306070 


42 


19 


646729 


425 


952481 


104 


694248 


: 530 


305752 


41 


20 

21 


646984 


425 


952419 


104 
104 


694566 


529 


305434 
10.305117 


40 
39 


9.647240 


425 


9.952356 


9.694883 


': 529 


22 


647494 


424 


952294 


104 


695201 


i 529 


304799 


38 


23 


647749 


424 


952231 


104 


695518 


. 529 


304482 


37 


24 


648004 


424 


952168 


105 


695836 


i 529 


304164 


36 


25 


648258 


424 


952106 


105 


696153 


■ 528 


303847 


35 


26 


648512 


423 


952043 


105 


696470 


; 528 


303530 


34 


27 


648766 


423 


951980 


105 


696787 


528 


303213 


33 


28 


649020 


423 


951917 


105 


697103 


528 


302897 


32 


29 


649274 


422 


951854 


105 


697420 


527 


302580 


31 


30 
31 


649527 


422 


951791 


105 
105 


697736 
5:698053 


527 
527 


302264 
10.301947 


30 

29 


9.6497S1 


422 


9.951728 


32 


650034 


422 


951665 


105 


698369 


527 


301631 


28 


33 


650287 


421 


951602 


105 


698685 


526 


301315 


27 


34 


650539 


421 


951539 


105 


699001 


526 


300999 


26 


35 


650792 


421 


951476 


105 


699316 


526 


300684 


25 


36 


651044 


420 


951412 


105 


699632 


526 


300368 


24 


37 


. 651297 


420 


951349 


106 


699947 


526 


300053 


23 


38 


651549 


420 


951286 


106 


700263 


525 


299737 


22 


39 


651800 


419 


951222 


106 


700578 


525 


299422 


21 


40 
41 


652052 


419 
419 


951159 


106 
106 


700893 
9.701208 


525 
524 


299107 
10.298792 


20 
19 


9.652304 


9.951096 


42 


652555 


418 


951032 


106 


701523 


524 


298477 


18 


43 


652806 


418 


950968 


106 


701837 


524 


298163 


17 


44 


653057 


418 


950905 


106 


702152 


524 


297848 


16 


45 


653308 


418 


950841 


106 


702466 


524 


297534 


15 


46 


653558 


417 


950778 


106 


702780 


523 


297220 


14 


47 


653808 


417 


950714 


106 


703095 


523 


296905 


13 


48 


654059 


417 


950650 


106 


703409 


523 


296591 


12 


49 


654309 


416 


950586 


106 


703723 


523 


296277 


11 


50 
51 


654558 


416 


950522 
9.950458 


107 
107 


704036 


522 


295964 
10.295650 


10 
9 


9.654808 


416 


9.704350 


522 


52 


655058 


416 


950394 


107 


704663 


522 


295337 


8 


53 


655307 


415 


950330 


107 


704977 


522 


295023 


7 


54 


655556 


415 


950266 


107 


705290 


522 


294710 


6 


55 


655805 


4:5 


950202 


107 


705603 


521 


294397 


5 


56 


656054 


414 


950138 


107 


705916 


521 


294084 


4 


57 


656302 


414 


950074 


107 


706228 


521 


293772 


3 


58 


656551 


414 


950010 


107 


706541 


521 


293459 


2 


59 


656799 


413 


949945 


107 


706854 


521 


293146 


1 


60^ 


6570471 


413 


949881 


107 


707166 


520 


292834 





' 


Cr^dne 




Sine 1 j 


Ootang. 




Tang. 1 M. J 



63 Degrees. 





SINES AKD TANGENTS. (27 Degrees.) 


45 


M 


Bi.. 


D. 


Cosine | D. 


Tang. 


D. 


1 Cotang. 





9.657047 


413 


9.949881 


107 


9.707166 


520 


10.292834 60 


1 


657295 


413 


949816 


107 


707478 


520 


292522 59 


3 


657542 


412 


949752 


107 


707790 


520 


292210 58 


3 


657790 


412 


949688 


108 


708102 


520 


291898 


57 


4 


658037 


412 


949623 


108 


708414 


519 


291586 


56 


6 


658284 


412 


949558 


108 


708726 


519 


291274 


55 


6 


658531 


411 


949494 


108 


709037 


519 


290963 


54 


7 


658778 


411 


949429 


108 


709349 


519 


290651 


53 


8 


669025 


411 


949364 


108 


709660 


519 


290340 


52 


9 


659271 


410 


949300 


108 


709971 


518 


290029 


51 


10 
11 


659517 


410 


949235 


108 
108 


710282 


518 


289718 


50 

49 


9.659763 


410 


9.94^170 
9^105 


9.710593 


518 


10.289407 


12 


660009 


409 


108 


710904 


518 


289096 


48 


13 


660255 


409 


949040 


108 


711215 


518 


288785 


47 


14 


660501 


409 


948975 


108 


711.525 


517 


288475 


46 


15 


660746 


409 


948910 


108 


711836 


517 


288164 


45 


16 


660991 


408 


948845 


108 


712146 


517 


287854 


44 


17 


661236 


408 


948780 


109 


712456 


517 


287544 


43 


18 


661481 


408 


948715 


109 


712766 


516 


287234 


42 


19 


661726 


407 


948650 


109 


713076 


516 


286924 


41 


20 

21 


661970 


407 


948584 


109 
109 


713386 


516 


286614 


40 
39 


9.662214 


407 


9.948519 


9.713696 


516 


10.286304 


22 


662459 


407 


948454 


109 


714005 


516 


285995 


38 


23 


662703 


406 


948388 


109 


714314 


515 


285686 


37 


24 


662946 


406 


948323 


109 


714624 


515 


285376 


36 


25 


663190 


406 


948257 


109 


714933 


515 


285067 


35 


26 


663433 


405 


948192 


109 


715242 


515 


284758 


34 


27 


663677 


405 


948126 


109 


715551 


514 


284449 


33 


28 


663920 


405 


948060 


109 


715860 


514 


284140 


32 


29 


664163 


405 


947995 


110 


716168 


514 


283832 


31 


30 
31 


664406 


404 
404 


947929 


110 
110 


716477 
9.716785 


514 


283523 


30 
29 


9.664648 


9.947863 


514 


10.283215 


32 


664891 


404 


947797 


110 


717093 


513 


282907 


28 


33 


665133 


403 


947731 


110 


717401 


513 


282599 


27 


34 


665375 


403 


947665 


110 


717709 


513 


282291 


26 


35 


665617 


403 


947600 


110 


718017 


513 


281983 


25 


36 


665859 


402 


947533 


110 


718325 


513 


281675 


24 


37 


666100 


402 


947467 


110 


718633 


512 


281367 


23 


38 


666342 


402 


947401 


110 


718940 


512 


281060 


22 


39 


666583 


402 


947335 


110 


719248 


512 


280752 


21 


40 
41 


666824 


401 


947269 


110 
110 


719555 
9.719862 


512 


280445 


20 
19 


9.667065 


401 


9.947203 


512 


10.280138 


42 


667305 


401 


947136 


111 


720169 


511 


279831 


18 


43 


667546 


401 


947070 


111 


720476 


511 


279524 


17 


44 


66778)5 


400 


947004 


111 


720783 


511 


279217 


16 


45 


668027 


400 


946937 


111 


721089 


511 


278911 


15 


46 


668267 


400 


946871 


111 


721396 


511 


278604 


14 


47 


668506 


399 


946804 


111 


721702 


510 


278298 


13 


48 


668746 


399 


946738 


111 


722009 


■ 510 


277991 


12 


49 


668986 


399 


946671 


111 


722315 


510 


277685 


11 


50 
51 


669225 


399 


946604 


W. 


722621 


510 


277379 


10 
9 


9.669464 


398 


9,946538 


9.722927 


510 


10.277073 


52 


669703 


398 


946471 


Ill 


723232 


509 


276768 


8 


53 


669942 


398 


946404 


111 


723538 


509 


276462 


7 


54 


670181 


397 


946337 


111 


723844 


509 


276156 


6 


55 


670419 


397 


946270 


112 


724149 


.509 


275851 


5 


56 


670658 


397 


946203 


112 


724454 


509 


275546 


4 


57 


670896 


397 


946136 


112 


724759 


508 


275241 


3 


58 


671134 


396 


946069 


112 


725065 


508 


274935 


2 


59 


671372 


396 


946002 


112 


725369 


508 


274631 


1 


60 


671609 


396 


945935 


112 


725674 


508 


274326 





;j 


Cosine 




Sine 1 1 


Cotang. 1 




Tang. jM.l 



62 D^ees. 



46 



(28 Degrees.) a table or logarith3iic 



M 


1 Siie 


1 D. 


1 Cosino 1 D. 


1 Tans. 


! -"■ 


f Co;ai;g. 1 


~o 


9.671609 396 


9.945935 


lis 


. 9.725674 


508 


10.274326160 


1 


671847 395 


945868 


115 


72597S 


508 


274021159 


2 


672084 395 


945800 


112 


726284 


507 


2737161 58 


3 


67232] 


395 


945733 


112 


726588 


507 


273412 57 


4 


67255^ 


395 


945666 


112 


726892 


507 


273108! 56 


5 


67279£ 


394 


945598 


112 


727197 


507 


2728031 55 


6 


673032 


394 


945531 


112 


727501 


507 


2724991 54 


7 


673268 


394 


945464 


113 


727805 


506 


272195' 53 


8 


67350a 


394 


945396 


113 


728109 


506 


2718911 52 


9 


673741 


393 


945328 


113 


728412 


506 


271588151 


10 
11 


673977 
9.674213 


393 


945261 
9.945193 


113 
113 


728716 


506 


271284 


50 


393 


9.729020 
729323 


506 


10.270980 


,49 


12 


674448 


392 


945125 


113 


505 


270677 


148 


13 


674684 


392 


945058 


113 


729626 


505 


270374 


47 


14 


674919 


392 


944990 


113 


729929 


505 


270071 


46 


15 


675155 


392 


944922 


113 


730233 


605 


269767 


45 


26 

17 

18 


675390 


391 


944854 


113 


730535 


505 


269465 


44 


675624 


391 


944786 


113 


730838 


504 


269162 


43 


675859 


391 


944718 


113 


731141 


504 


268859 


42 


19 


676094 


391 


944650 


113 


731444 


504 


268556 


41 


20 
21 


676328 


390 


944582 


114 
114 


731746 


504 


268254 
10.267952 


40 
39 


9.676562 


390 


9.944514 


9.732048 


504 


22 


676796 


390 


944446 


114 


732351 


503 


267649 


38 


23 


677030 


390 


944377 


114 


732653 


503 


267347 


37 


24 


677264 


389 


944309 


114 


732955 


503 


267045 


36 


25 


677498 


389 


944241 


114 


733257 


503 


266743 


35 


26 


677731 


389 


944172 


114 


733558 


503 


266442 


34 


27 


677964 


388 


944104 


114 


733860 


502 


266140 


33 


28 


678197 


388 


944036 


114 


734162 


502 


265838 


32 


29 


678430 


388 


943967 


114 


734463 


502 


265537 


31 


30 
31 


678663 


388 


943899 
9 . 943830 


114 
114 


734764 


502 


265236 


30 
29 


9 678895 


387 


9.735066 


502 


10.264934 


32 


679128 


387 


943761 


114 


■ 735367 


502 


264633 


28 


33 


679360 


387 


943693 


115 


735868 


501 


264332 


27 


34 


679592 


387 


943624 


115 


735969 


501 


264031 


26 


35 


679824 


386 


943555 


115 


736269 


501 


263731 


25 


36 


680056 


386 


943486 


115 


736570 


501 


263430 


24 


37 


680288 


386 


943417 


115 


736871 


501 


263129 


23 


38 


680519 


385 


943348 


115 


737171 


500 


262829 


22 


39 


680750 


385 


943279 


115 


737471 


500 


262529 


21 


40 

41 


680982 
9.681213 


385 


943210 


115 
115 


73V VVl 
9.738071 


500 


262229 


20 

19 


385 


9.943141 


500 


10.261929 


42 


681443 


384 


943072 


115 


738371 


500 


261629 


18 


43 


681674 


384 


943003 


115 


738671 


499 


261329 


17 


44 


681905 


384 


942934 


115 


738971 


499 


261029 


16 


45 


682135 


384 


942864 


115 


739271 


499 


260729 


15 


46 


682365 


383 


942795 


116 


739570 


499 


260430 


14 


47 


682595 


383 


942726 


116 


739870 


499 


260130 


13 


48 


682825 


383 


942656 


116 


740169 


499 


259831 


12 


49 


683055 


383 


942587 


116 


740468 


498 


259532 


11 


50 
51 


683284 
9.683514 


382 


942517 


116 
116 


740767 


498 


259233 


10 
9 


382 


9.942448 


9.741066 


498 


10.258934 


o2 


683743 


382 


942378 


116 


741365 


498 


258635 


8 


53 


683972 


382 


942308 


116 


741664 


498 


258336 


7 


54 


684201 


381 


942239 


116 


741962 


497 


258038 


6 


55 


684430 


381 


942169 


116 


742261 


497 


257739 


5 


56 


684658 


381 


942099 


116 


742559 


497 


257441 


4 


57 


684887 


380 


942029 


116 


742858 


497 


257142 


3 


58 


685115 


380 


941959 


116 


743156 


497 


256844 


2 


59 


685343 


380 


941889 


117 


743454 


497 


256546 


1 


60 


685571 


380 


941819 


117 


743752 


496 


256248 





1 


Cosine 


._.... . 


Sine 1 


Cotang. 


1 


Taiig. 1 M. 1 








61 


Degr 


3.es. 











SINES AND TANGENTS. (29 Degrees.) 


47 


M. 


1 Sine 


D. 


1 Cosine | D. 


Tang. 


1 D. 


1 Cotang. 1 





9.685571 


380 


9.941819 


117 


9.743752 


496 


10.266248 


60 


1 


685799 


379 


941749 


117 


744050 


496 


256950 


59 


2 


686027 


379 


941679 


117 


744348 


496 


255662 


58 


3 


686254 


379 


941609 


117 


744645 


496 


255365 


57 


4 


686482 


379 


941539 


117 


744943 


496 


265067 


66 


5 


686709 


378 


941469 


117 


745240 


496 


254760 


55 


6 


686936 


378 


941398 


117 


745538 


495 


254462 


54 


7 


687163 


378 


941328 


117 


745835 


495 


254165 


53 


8 


687389 


378 


941258 


117 


746132 


495 


253868 


52 


9 


687616 


377 


941187 


117 


746429 


496 


253671 


51 


10 
11 


687843 
9.688069 


377 


941117 
9.941046 


117 
118 


746726 


495 


253274 


60 
49 


377 


9.747023 


494 


10.252977 


12 


688295 


377 


940975 


118 


747319 


494 


262681 


48 


13 


688521 


376 


940905 


118 


747616 


494 


252384 


47 


14 


688747 


376 


940834 


118 


747913 


494 


262087 


46 


15 


688972 


376 


940763 


118 


748209 


494 


251791 


46 


16 


689198 


376 


940693 


118 


748505 


493 


251495 


44 


17 


689423 


375 


940622 


118 


748801 


493 


251199 


43 


18 


689648 


375 


940551 


118 


T49097 


493 


250903 


42 


19 


689873 


375 


940480 


118 


749393 


493 


260607 


41 


20 
21 


690098 


375 


940409 
9.940338 


118 
118 


749689 


493 


250311 


40 
39 


9.690323 


374 


9.749985 


493 


10.250015 


22 


690548 


374 


940267 


118 


750281 


492 


249719 


38 


23 


690772 


374 


940196 


118 


750576 


492 


249424 


37 


24 


690996 


374 


940126 


119 


750872 


492 


249128 


36 


25 


691220 


373 


940054 


119 


751167 


492 


248833 


35 


26 


691444 


373 


939982 


119 


751462 


492 


248638 


34 


27 


691668 


373 


939911 


119 


751757 


492 


248243 


33 


28 


691892 


373 


939840 


119 


752052 


491 


247948 


32 


29 


692115 


372 


939768 


119 


752347 


491 


247653 


31 


30 
31 


692339 


372 


939697 
9.939625 


119 
119 


752642 


491 


247358 


930 


9.692562 


372 


9.752937 


491 


10.247063 


29 


32 


692785 


371 


939554 


119 


753231 


491 


246769 


28 


33 


693008 


371 


939482 


119 


753526 


491 


246474 


27 


34 


693231 


371 


939410 


119 


753820 


490 


246180 


26 


35 


693453 


371 


939339 


119 


754115 


490 


245885 


25 


36 


693676 


370 


939267 


120 


754409 


490 


245591 


24 


37 


693898 


370 


939196 


120 


754703 


490 


245297 


23 


38 


694120 


370 


939123 


120 


754997 


490 


245003 


22 


39 


694342 


370 


939052 


120 


755291 


490 


244709 


21 


40 
41 


694564 
9.694786 


369 
369 


938980 
9.938908 


120 
120 


755685 


489 


244416 


20 
19 


9.755878 


489 


10.244122 


42 


695007 


369 


938836 


120 


766172 


489 


243828 


18 


43 


695229 


369 


938763 


120 


756465 


489 


243535 


17 


44 


695450 


368 


938691 


120 


756759 


489 


243241 


16 


45 


695671 


368 


938619 


120 


757052 


489 


242948 


16 


46 


695892 


368 


938547 


120 


757345 


488 


242655 


14 


47 


696113 


368 


938475 


120 


757638 


488 


242362 


13 


48 


696334 


367 


938402 


121 


757931 


488 


242069 


12 


49 


696554 


367 


938330 


121 


758224 


488 


241776 


11 


50 
51 


696775 


367 


938258 
9.938185 


121 
121 


758517 


488 


241483 


10 
9 


9.696995 


367 


9.758810 


488 


10.241190 


52 


697215 


366 


938113 


121 


759102 


487 


240898 


8 


53 


697435 


366 


938040 


121 


759395 


487 


240605 


7 


54 


697654 


366 


937967 


121 


769687 


487 


240313 


6 


55 


697874 


366 


937895 


121 


759979 


487 


240021 


5 


66 


698094 


365 


937822 


121 


760272 


487 


239728 


4 


57 


698313 


365 


937749 


121 


760564 


487 


239436 


3 


58 


698532 


365 


937676 


121 


760866 


486 


239144 


2 


59 


698751 


365 


937604 


121 


761148 


486 


238852 


1 


60 


- 698970 


364 


937531 


121 


761439 


486 


238561 







1 Cosine 




1 Sine 1 


1 Cotang. 


1 


1 Tang. 1 M. | 



60 Desrees. 



48 


(30 Degrees.) a 


TABLE OF LOGARITHsnC 




Ti 


Sine 1 


D. 1 


Cosine | D. | 


Tang. 1 


D. 1 


Cotang. 1 1 





9.698970 


364 


9.937531 


121 


9.761439 


486 


10.238561 


60 


1 


699189 


364 


937458 


122 


761731 


486 


238269 


59 


2 


699407 


364 


937385 


122 


762023 


486 


237977 


58 


3 


699626 


364 


937312 


122 


762314 


486 


237686 


57 


4 


699844 


363 


937238 


122 


762606 


485 


237394 


56 


5 


700062 


363 


937165 


122 


762897 


485 


237103 


55 


6 


700380 


363 


937092 


122 


763188 


485 


236812 


54 


7 


700498 


363 


937019 


122 


763479 


485 


236521 


53 


8 


700716 


363 


936946 


122 


763770 


485 


238230 


52 


9 


700933 


362 


93^872 


122 


764061 


485 


235939 


51 


10 
11 


701151 
9.701368 


362 
362 


936799 
9.936725 


122 
122 


764352 


484 


235648 


50 
49 


9.764643 


484 


10.235357 


12 


701585 


362 


936652 


123 


764933 


484 


235067 


48 


13 


701802 


361 


936578 


123 


765224 


484 


234776 


47 


14 


702019 


361 


936505 


123 


765514 


484 


234486 


46 


15 


702236 


361 


936431 


123 


765805 


484 


234195 


45 


16 


702452 


361 


936357 


123 


766095 


484 


233906 


44 


17 


702669 


360 


936284 


123 


766385 


483 


233615 


43 


18 


702885 


360 


936210 


123 


766675 


483 


233325 


42 


19 


703101 


360 


936136 


123 


766965 


483 


233035 


41 


20 
21 


703317 


360 


936062 
9.935988 


123 
123 


767255 


483 


232745 


40 
39 


9.703533 


359 


9.767545 


483 


10.232455 


22 


703749 


359 


935914 


123 


767834 


483 


232166 


38 


23 


703964 


359 


935840 


123 


768124 


482 


231876 


37 


24 


704179 


359 


935766 


124 


768413 


482 


231587 


36 


25 


704395 


359 


935692 


124 


768703 


482 


231297 


35 


26 


704610 


358 


935618 


124 


768992 


482 


231008 


34 


27 


704825 


358 


935543 


124 


769281 


482 


230719 


33 


28 


705040 


358 


935469 


124 


769570 


482 


230430 


32 


29 


705254 


358 


935395 


124 


769860 


481 


230140 


31 


30 
31 


705469 


357 


935320 


124 
124 


770148 
9.770437 


481 


229852 


30 

29 


9.705683 


357 


9.935246 


481 


10.229563 


32 


705898 


357 


935171 


124 


770726 


481 


229274 


28 


33 


706112 


357 


935097 


124 


771015 


481 


228985 


27 


34 


706326 


356 


935022 


124 


771303 


481 


228697 


26 


35 


706539 


356 


934948 


124 


771592 


481 


228408 


25 


36 


706753 


356 


934873 


124 


771880 


4.80 


228120 


24 


37 


706967 


356 


934798 


125 


772168 


480 


227832 


23 


38 


707180 


355 


934723 


125 


772457 


480 


227543 


22 


39 


707393 


355 


934649 


125 


772745 


480 


227255 


21 


40 

41 


707606 


355 


934574 
9.934499 


125 

125 


773033 


480 


226967 


20 
19 


9.707819 


355 


9.773.321 


480 


10.226679 


42 


708032 


354 


934424 


125 


773608 


479 


226392 


18 


43 


708245 


354 


934349 


125 


773896 


479 


226104 


17 


44 


708458 


354 


934274 


125 


774184 


479 


225816 


16 


45 


, 708670 


354 


934199 


125 


774471 


479 


225529 


15 


46 


708882 


353 


934123 


125 


774759 


479 


225241 


14 


47 


709094 


353 


934048 


125 


775046 


479 


224954 


13 


48 


709306 


353 


933973 


125 


775333 


479 


224667 


12 


49 


709518 


353 


933898 


126 


775621 


478 


224379 


11 


50 

51 


709730 


353 


933822 
9.933747 


126 
126 


775908 


478 


224092 


10 
9 


9.709941 


352 


9.776195 


478 


10.223805 


52 


710153 


352 


933671 


126 


776482 


478 


223518 


8 


53 


710364 


352 


933596 


126 


776769 


478 


223231 


7 


54 


710575 


352 


933520 


126 


777055 


478 


222945 


6 


55 


710786 


351 


933445 


126 


777342 


478 


222658 


5 


56 


710997 


351 


933369 


126 


.. 777628 


477 


222372 


4 


57 


711208 


351 


933293 


126 


777915 


477 


222085 


3 


58 


711419 


351 


933217 


126 


778201 


477 


221799 


3 


59 


711629 


350 


933141 


126 


778487 


477 


221512 


1 


60 


711839 


350 


933066 


126 


778774 


477 


221226 







j Cosine 


i 


1 Sine 1 


j Cotang. 


1 


1 Tiy,g. I M. 1 



59 Degrees. 





SINES A^'D TAKGErs-rs. 


(ol Degrees 


) 


49 


M.l 


Sine 


T'. 1 


losine { D. | 


Tati:. 1 


D. 


Cotang. 1 





9.711839 


350 


9.933066 


126 


9.778774 


477 


10.221226 60 


1 


712050 


350 


932990 


127 


779060 


477 


220940 59 


2 


712260 


350 


932914 


127 


779346 


t76 


220654 58 


3 


712469 


349 i 


932838 


127 


779632 


476 


220368 


57 


4 


712679 


349 i 


932762 


127 


779918! 


476 


220082 


56 


5 


712889 


349 1 


932685 


127 


7802031 


476 


219797 


55 


6 


713098 


349 1 


932609 


127 


780489i 


476 


219511 


54 


7 


713308 


349 


932533 


J 27 


780775 


476 


219225 


53 


8 


713517 


348 


932457 


127 


781060 


476 


218940 


52 


9 


713726 


348 


932380 


127 


781346 


475 


218654 


51 


10 

IT 


713935 
9.714144 


348 i 


932304 


]27 

127 


7816311 
9.781916; 


475 
475 


218369 


50 
49 ^ 


348 1 


9.932228 


10.218084 


12 


714352 


347 


932151 


127 


782201 


475 


217799 


48 


13 


714561 


347 i 


932075 


128 


782486^ 


475 


217514 


47 


14 


714769 


347 


931998 


123 


782771 


475 


217229 


46 


15 


714978 


347 


931921 


128 


783056 


475 


216944 


45 


16 


715186 


347 


931845 


128 


783341 


475, 


216659 


44 


17 


71.5394 


346 


931768 


128 


783626 


474i 


r 216374 


43 


18 


715602 


346 


931691 


128 


783910 


474 


216090 


42 


19 


715809 


346 


931614 


123 


784195 


474 


215805 


41 


20 
21 


716017 


346 


931537 
9.931460 


128 

128 


784479 


474 


215521 


40 
39 


9.716224 


345 


9 . 784764 


474 


10.21.5236 


22 


716432 


345 


931383 


128 


785048 


474 


214952 


38 


23 


716639 


345 


931306 


128 


785332 


473 


214668 


37 


24 


716646 


345 


931229 


129 


785616 


473 


214384 


36 


25 


717053 


345 


931152 


129 


785900 


473 


214100 


35 


26 


717259 


344 


931075 


129 


786184 


473 


213816 


34 


27 


717466 


344 


930998 


129 


786468 


473 


213.532 


33 


28 


717673 


344 


930921 


129 


7867.52 


473 


213248 


32- 


29 


717879 


344 


930843 


129 


787036 


473 


212964 


31 


30 
31 


718085 


343 


930766 


129 
129 


787319 
9.787603 


472 
472 


212681 


30 
29 


9.718291 


343 


9.930688 


10.212397 


32 


718497 


343 


930611 


129 


787886 


472 


212114 


28 


33 


718703 


343 


930533 


129 


788170 


472 


211830 


27 


34 


718909 


343 


930456 


129 


788453 


472 


211547 


26 


35 


719114 


342 


930378 


1.29 


788736 


472 


211264 


25 


36 


719320 


342 


930300 


130 


789019 


472 


210981 


24 


37 


719525 


342 


930223 


130 


789302 


471 


210698 


23 


38 


719730 


342 


930145 


130 


789585 


471 


210415 


22 


39 


719935 


341 


930067 


130 


789868 


471 


210132 


21 


40 
41 


720140 
9.720.345 


341 


929989 
9.929911 


130 
130 


790151 


471 


209849 


20 
19 


341 


9.790433 


471 


10.209567 


42 


720549 


341 


929833 


130 


790716 


471 


209284 


18 


43 


7207.54 


340 


929755 


130 


790999 


471 


209001 


17 


44 


720958 


340 


929877 


130 


791281 


471 


208719 


16 


45 


721162 


340 


929599 


130 


791563 


470 


208437 


15 


46 


721366 


340 


929521 


130 


791846 


470 


208154 


14 


47 


721570 


340 


929442 


130 


792128 


470 


207872 


13 


48 


721774 


339 


929364 


131 


792410 


470 


207590 


12 


49 


721978 


339 


929286 


131 


792692 


1 470 


207308 


11 


50 
51 


722181 


339 


92920? 


]31 
131 


792974 


i 470 


207026 


10 
9 


9 . 722385 


339 


9.929129 


9.793256 


: 470 


10.206744 


52 


722588 


339 


929050 


131 


793538 


i 469 


206462 


8 


53 


722791 


338 


928972 


131 


793819 


1 469 


206181 


7 


54 


722994 


338 


928893 


131 


794101 


469 


205899 


6 


55 


723197 


338 


928815 


131 


794383 


j 469 


205617 


5 


56 


723400 


338 


928736 


131 


794664 


! 469 


205336 


4 


57 


723603 


337 


928657 


131 


794945 


i 469 


205055 


3 


58 


723805 


337 


928578 


131 


795227 


469 


204773 


2 


59 


724007 


337 


928499 


131 


795508 


! 468 


204492 


1 


60 


724210 


337 


928420 


131 


795789 


1 468 


204211 







Cosine 


1 


1 Sine 1 


1 Cotang. 


1 


1 Tang. |M.| 



58 Degrees. 

G 



50 



(32 Degrees.) a table of logakithmic 



^ 


1 Sine 


1 i>. 


1 <:;nsi:!- 


1 I> 


1 T.u^. 


1 D. 


1 Cotang. 


1 





9,'7M-ZiU 


33 r 


9.9284^0 


i:>'^ 


t>.7957Sb 


468 


10.204211 


60 


1 


724412 


337 


92834^ 


132 


79607r 


468 


203930 


59 


2 


724614 


33(3 


928263 


132 


796351 


468 


203649 


58 


3 


724816 


33-:^ 


928183 


132 


79663? 


4GS 


203368 


57 


4 


725017 


336 


928104 


132 


7969 i.S 


468 


20.3087 


56 


5 


725219 


336 


928025 


132 


797194 


468 


202806 


55 


6 


725420 


335 


927945 


132 


797475 


468 


202525 


54 


7 


725622 


335 


i 9278G7 


1S2 


797755 


468 


202245 


53 


8 


725823 


335 


9277 S7 


132 


79S036 


467 


201964 


52 


9 


726024 


335 


92770S 


132 


798316 


467 


201684 


51 


10 
11 


726225 


335 


927629 


132 
132 


793596 
9 . 798877 


467 


301404 
10.201123 


50 

49 


9.726426 


334 


9.927549 


467 


12 


726626 


334 


927470 


133 


799157 


467 


200843 


48 


13 


726827 


334 


927390 


133 


799437 


467 


200563 


47 


14 


727027 


334 


927310 


133 


799717 


467 


200283 


46 


15 


727228 


334 


927231 


133 


799997 


466 


200003 


45 


16 


72742t 


#333 


927] 51 


133 


800277 


466 


1P9'723 


44 


17 


727628 


333 


927071 


133 


800557 


466 


199443 


43 


18 


727828 


333 


926991 


133 


800836 


466 


199164 


42 


19 


728027 


333 


926911 


133 


801116 


466 


^.98884 


41 


30 

21 


728227 
9.728427 


333 


926831 
9.926751 


133 

183 


801396 


466 


198604 
10.198325 


40 
39 


332 


9.801675 


466 


22 


728^26 


332 


926671 


133 


601955 


466 


198046 


38 


23 


728825 


332 


926591 


133 


802234 


465 


197766 


37 


24 


729024 


332 


9';: 65 11 


134 


803513 


465 


197487 


36 


25 


729223 


331 


926431 


134 


802792 


465 


197208 


35 


26 


729422 


331 


9S6351 


134 


803072 


465 


196928 


34 


27 


729621 


331 


92G270 


134 


803351 


465 


196649 


33 


28 


729820 


331 


926190 


134 


803630 


465 


196370 


32 


29 


730018 


330 


928110 


134 


803908 


465 


196092 


31 


30 
31 


730216 


330 


928029 
9.925949 


134 
134 


804187 


465 


195813 
10.195534 


30 

29 


9.730415 


330 


9.804486 


464 


32 


730613 


330 


925868 


134 


804745 


464 


196255 


38 


33 


730811 


330 


925788 


134 


805023 


464 


194977 


37 


34 


731009 


329 


925707 


134 


805302 


464 


194698 


36 


35 


731208 


339 


925626 


134 


805580 


464 


194420 


35 


36 


731404 


329 


925545 


135 


805859 


464 


194141 


24 


37 


731602 


329 


925465 


135 


806137 


464 


1933 63 


S3 


38 


731799 


329 


925384 


135 


806415 


463 


193585 


22 


39 


731996 


328 


925303 


135 


806693 


463 


193307 


21 


40 
41 


732193 


328 


925222 


135 
135 


806971 


463 


193029 
10.192751 


20 
19 


9.732390 


328 


9.925141 


9.807249 


463 


42 


732.587 


338 


925060 


135 


807527 


463 


192473 


18 


43 


732784 


328 


924979 


135 


807805 


463 


192195 


17 


44 


732980 


327 


924897 


1.35 


808083 


463 


191917 


16 


45 


733177 


327 


924S16 


135 


808361 


463 


191639 


15 


46 


733373 


327 


924735 


136 


808638 


462 


191362 


14 


47 


733569 


327 


924854 


136 


808916 


462 


191084 


13 


48 


733765 


327 


924572 


136 


809193 


462 


190807 


12 


49 


733961 


326 


924491 


136i 


809471 


462 


190529 


11 


50 
51 


734157 


326 


924409 
9.924328 


136 
136 


809748 
9.810025 


462 


190262 
10.189975 


10 
"9 


9.734353 


326 


463 


52 


734549 


326 


924246 


136 


810302 


462 


189698 


8 


53 


734744 


325 


924164 


lo'6 


810580 


462 


189420 


7 


54 


734939 


325 


- 924083 


136 


810857! 


462 


189143 


6 


55 


.735135 


325 


924001 


136 


811134 


461 


188866 


5 


56 


735330 


325 


923919 


136 


811410 


461 


188590 


4 


67 


735525 


325 


923837 


136 


811687 


461 


188313 


3 


58 


735719 


324 


923755 


137 


811964 


461 


188036 


2 


59 


735914 


324 


923673 


137 


812241 


461 


187759 


1 


60 


736109 


324 1 


9235911 


137 


81 ^n?^ 


A81 


187483 


S 


' t 


Cosine j 


1 


&uie 1 1 


Cotang. 1 




Tang. |M.j 





SINES AND TANGENTS 


. (33 D 


egrees 


■) 


51 




_mJ 


Sine 1 


D. 


Cusii!^ 1 D. 


T,Ml,g. 1 


D. 


■ <:oi.anr. ! 







9.736109 


324 


9.923591 


137 


9.812517 


461 


10.187483 60 




1 


736303 


324 


923509 


137 


812794 


461 


187206 


59 




2 


736498 


324 


923427 


137 


813070 


461 


186930 


58 




3 


736692 


323 


923345 


137 


813347 


460 


186653 


57 




4 


736886 


323 


9232G3 


137 


813623 


460 


186.377 


56 




5 


737080 


323 


923181 


137 


813899 


460 


186101 


55 




6 


737274 


323 


923098 


137 


814175 


400 


185825 


54 




7 


737467 


323 


923016 


137 


814452 


460 


185548 


53 




8 


737661 


322 


922933 


137 


814728 


460 


18.5272 


52 




9 


737855 


322 


922851 


137 


815004 


460 


184996 


51 




10 

11 


738048 
9.738241 


322 
322 


922788 
9.922686 


138 
138 


815279 


460 


184721 


50 
49 




9,815555 


459 


10.184445 




12 


738434 


322 


922603 


138 


815831 


459 


184169 


48 




13 


738627 


321 


922530 


138 


816107 


459 


183893 


47 




14 


738820 


321 


92243S 


138 


816382 


459 


183618 


46 




15 


739013 


321 


922355 


138 


816658 


459 


183342 


45 




16 


739206 


321 


922272 


138 


816933 


459 


183067 


44 




17 


739398 


321 


922189 


138 


817209 


459 


182791 


43 




18 


739590 


320 


922106 


138 


817484 


459 


182516 


42 




19 


739783 


320 


922023 


138 


81 7759 


459 


182241 


41 




20 
21 


739975 


320 


921940 
9.921857 


138 
139 


818035 


458 


181965 
10.181690 


40 
39 




9.740167 


320 


9.818310 


458 




22 


740359 


320 


921774 


139 


818585 


458 


181415 


38 




23 


740550 


319 


921691 


139 


818860 


458 


181140 


37 




24 


7407^3 


319 


921607 


139 


819135 


458 


180865 


36 




25 


740934 


319 


921524 


139 


819410 


458 


180590 


35 




26 


741125 


319 


921441 


139 


819684 


458 


180316 


34 




27 


741316 


319 


921357 


139 


819959 


458 


180041 


33 




2S 


741508 


318 


921274 


139 


820234 


458 


179766 


32 




29 


741699 


318 


921190 


139 


820508 


457 


179492 


31 




30 
31 


741S89 
9.742080 


318 


921107 
9.921023 


139 
139 


820783 


457 


179217 


30 

29 




318 


9.821057 


457 


10.178943 




32 


742271 


318 


920939 


140 


821332 


457 


178668 


28 




33 


742462 


317 


920856 


140 


821606 


457 


178394 


2? 




34 


742652 


317 


920772 


140 


821880 


457 


178120 


26 




35 


742842 


317 


920688 


140 


822154 


457 


177846 


25 




36 


743033 


317 


920604 


140 


822429 


457 


177571 


24 




37 


743223 


317 


920520 


140 


822703 


457 


177297 


23 




3S 


743413 


316 


920436 


140 


822977 


456 


177023 


22 




39 


743602 


318 


920352 


140 


823250 


456 


176750 


21 




40 


743792 


316 


920268 


140 


823524 


456 


176476 


20 




41 


9.743982 


316 


9.920184 


140 


9.823798 


456 


10.176202 


19 




42 


744171 


316 


920099 


140 


824072 


456 


175928 


18 




43 


744361 


315 


920015 


140 


824345 


456 


175655 


17 




44 


744550 


315 


919931 


141 


824619 


456 


175381 


16 




45 


744739 


315 


919846 


141 


824893 


456 


175107 


15 




46 


744928 


315 


919762 


141 


825166 


456 


174834 


14 




47 


745117 


315 


919677 


141 


825439 


455 


174561 


13 




48 


745306 


314 


919593 


141 


825713 


455 


174287 


12 




49 


745494 


314 


919508 


141 


825986 


455 


174014 


11 




50 


745G83 


314 


1 919424 


141 


826259 


455 


173741 


10 




51 


9.745871 


314 


19.919339 


141 


9.826532 


455 


10.173468 


9 




53 


74G059 


314 


1 919254 


141 


826805 


455 


173195 


8 




53 


746248 


313 


919169 


141 


827078 


455 


172922 


7 




54 


746436 


313 


919035 


141 


827351 


455 


172649 


6 




55 


746624 


313 


919000 


141 


827624 


455 


172376 


5 




56 


746812 


813 


918915 


142 


827897 


454 


172103 


4 




57 


746999 


313 


91SS30 


142 


828170 


4.54 


171830 


3 




58 


747187 


.312 


918745 


142 


828442 


454 


I7I558 


2 




69 


747374 


312 


918659 


142 


828715 


454 


171285 


1 




60 


747562 


312 


918574 


142 


828987 


454 


171013 









Cosine 




j-..^'"^ 1 


Cotang. 


k^ 


1 Tang. 1 M. 





56 D*- 



^•^t: 



52 



'34 Decrrees. ; a table of LOGAEirn^ac 



.'i. 


Sine 


D. 


• .^:.:- Il 


Ta.?. 


Tl. 


(_••■'• J. 





9.747562 


3i2 


9.yi!'o7-i 142 


i).^2^y'-7 


454 


iU.i7l!lti3 »^M 


1 


747749 


312 


918489 142 


829260 


454 


17074'.i 59 


2 


1 747936 


312 


918404: 142 


829532 


454 


170468 5S 


3 


748123 


311 


91831 S' 142 


829S05 


454 


170195 57 


i 


74*31U 


311 


9iS233i 142 


830077 


454 


169923 56 


5 


748497 


311 


9iSl47 142 


830349 


453 


169651 55 


6 


748683 


311 


9ISU62; 142 


8:30621 


453 


169379 .54 


7 


748S70 


311 


9179 76 143 


830893 


453 


169107 .53 


8 


749056 


310 


917891> 143 


831165 


453 


168835 52 


9 


749243 


310 


917805 143 


8314:37 


453 


16S563 5; 


10 


749429 


310 


917719= 143 


831709 


453 


iaS291 5i» 


11 


9.749515 


310 


9.9176:34 143 


9. 831951 


453 


10.168019 49 


13 


749801 


310 


917548 143 


832253 


453 


167747 48 


13 


749987 


309 


917462: 143 


832525 


453 


167475 47 


14 


750172 


309 


917376 143 


8:32796 


453 


167-^04 46 


15 


75035 S 


309 


917290 143 


8:33n6S- 


452 


166932 45 


16 


750543 


309 


917204 143 


V 3 3 :-■ - :. 


452 


166661 44 


17 


750729 


309 


917118 14i 


-■:•?: 11 


452 


166:3S9 4:3 


18 


750914 


308 


917032 14^ 


- 3 3 *■" "^ 


452 


1661 IS 42 


19 


751099 


30S 


916940 :.. 


S341.54 


452 


165S46 4i 


20 

21 


7512>4 
9.751469 


30 S 
30S 


9i6«'5- .^^ 
9.916773 144 


S3 442 5 


452 


165575 40 
10.165:304 39 


9.5;34696- 


452 


23 


751654 


308 


9166S7 144 


834967 


4.52 


1650:33 35 


23 


751839 


308 


916600 144 


8:3523§ 


452 


164762 37 


24 


752023 


307 


916514 1^4 


-35509 


452 


164491 36 


25 


75220 S 


307 


91fr42T :« 


-35780 


451 


164220 35 


26 


752392 


307 


916341 144 


>36051 


451 


16:3949 34 


27 


752576 


307 


916254 144 


836322 


451 


16:367- :33 


28 


752760 


307 


916167 145 


836593 


451 


16:34^7^ 32 


29 


752944 


306 


9160S1. 145 


836S64 


451 


163136 31 


30 


753 12s 


306 


915994 145 


8371:34 


451 


162866 :30 


31 


9.753312 


3l»d 


9.915907 145 


9.8:37405 


451 


10.162595 29 


32 


753495 


306 


915520 145 


837675 


451 


162325 25 


33 


753679 


306 


9157:33 14.5 


837946 


451 


162054 27 


34 


753S62 


305 


915646 14-5 


S3S216 


451 


16 1754 2o 


35 


7M046 


305 


915559 145 


83S4S7 


450 


161513 25 


36 


754229 


305 


915472 145 


?3-7o7 


450 


161243 24 


37 


754412 


305 


9153S5 145 


^d':>('-2~ 


450 


160973 23 


38 


754.595 


305 


915297 145 


^S'-^'Z^T 


4.50 


160703 22 


39 


75477 S 


304 


915210 145 


S3y5nH 


450 


1604:32 21 


40 
41 


754960 
9.75514:3 


304 
304 


915123 146 
9.915035 14^ 


83yS3S 

9.S4':iins 


450 
450 


160162 20 


10.159592 19 


42 


75.5326 


304 


91494- :-- 


?-v3^- 


450 


159622 IS 


43 


75550S 


304 


914S-3V ,- 


't^ ^ .: ' 


450 


1593.53 17 


44 


755690 


304 


914773 1^6 


■^ ^^' - 1 7 


449 


159053 16 


45 


755872 


303 


9146S5 146 


^-il 1^7 


449 


155813 15 


46 


7560.54 


303 


914598- 146 


S41^.5: 


449 


15554:3 14 


47 


756236 


303 


914510 146 


841726 


449 


155274 13 


48 


75641 S 


3U3 


914422 146 


841996 


449 


1.58004 12 


49 


756600 


303 


9143:W 146 


842266 


449 


157734 11 


50 


756782 


302 


914246 147 


842535 


449 


157465 10 


51 


9.756963 


302 


9.91415S 147 


9.842S05 


449 


10.157195' 9 


52 


757144 


.302 


914070 147 


843074 


449 


156926: 8 


53 


757326 


302 


9139S2 147 


843:34:3 


449 


156657 7 


54 


757507 


302 


913S94 147 


84:3612 


449 


156:385: 6 


55 


757688 


301 ■ 


913S06 147 


843SS2 


448 


156118' 5 


56 


7.57869 


301 


913718 147 


844151 


44S 


15.5549. 4 


57' 


758050 


301 


913630 147. 


844420 


44S 


155580. 3 


68 


758230. 


301 


913541. 147^ 


8446 S 9 


44S 


I55311i 2 


59 


758411:' 


301 ' 


913453 147j 


84495 ?t 


44S 


155042 1 


60 


75*591 


301 I 


913365 147 


845227 


448 


1.54773. 


i 


Cx-:ne 




Siiie 


Ciaaz 




Tang. , -M. 





SINES AND TANGENTS 


. (33 Degrees. 


) 


63 


xM. 


1 Sine 


D. 


Cosine 1 D. 


Tansr. 


1 r.. 


1 Cota... 1 1 


"T 


9.753591 


301 


9.913365 


147 


9.845227 


448 


10.154773 


60 


I 


758772 


300 


913276 


147 


84.5496 


448 


154504 


59 


o 


758952 


300 


913187 


148 


845764 


448 


154236 


58 


3 


759132 


300 


913099 


148 


846033 


448 


153967 


57 


4 


759312 


300 


913010 


148 


846302 


448 


153698 


56 


5 


759492 


300 


912922 


148 


846570 


447 


153430 


55 


6 


759672 


299 


912833 


148 


846839 


447 


153161 


54 


7 


769852 


299 


912744 


148 


847107 


447 


152893 


53 


8 


760031 


299 


912655 


148 


847376 


447 


152624 


52 


9 


760211 


299 


912566 


148 


847644 


447 


152366 


51 


10 
11 


760390 
9.760569 


299 


912477 
9.912388 


148 
148 


847913 


447 


152087 


50 

49 


298 


9.84S181 


447 


10.151819 


12 


760748 


298 


912299 


149 


848449 


447 


151551 


AS 


13 


760927 


298 


912210 


149 


848717 


447 


151283 


47 


14 


761106 


298 


912121 


149 


818986 


447 


151014 


46 


15 


761285 


298 


912031 


149 


849254 


447 


150746 


45 


16 


761464 


298 


911942 


149 


849522 


447 


150478 


44 


17 


761642 


297 


911853 


149 


849790 


446 


150210 


43 


18 


761821 


297 


911763 


149 


850058 


446 


149942 


42 


19 


761999 


297 


911674 


149 


850325 


446 


149675 


41 


20 

21 


762177 


297 


911584 
9.911495 


149 
149 


850593 


446 


149407 
10.149139 


40 
39 


9.762356 


297 


9.850861 


446 


22 


762534 


296 


911405 


149 


851129 


446 


148871 


38 


23 


762712 


296 


911315 


150 


851396 


446 


148604 


37 


24 


762889 


296 


911226 


150 


851664 


446 


148336 


36 


25 


763067 


296 


911136 


150 


851931 


446 


148069 


35 


26 


763245 


296 


911046 


150 


852199 


'146 


147801 


34 


27 


763422 


296 


910956 


150 


852466 


446 


147534 


33 


28 


763600 


295 


910S66 


150 


852733 


445 


147267 


32 


29 


763777 


295 


910776 


150 


853001 


445 


146999 


31 


30 
31 


763954 


295 


910686 


150 

150 


853268 


445 


146732 


30 

29 


9.764131 


295 


9.910596 


9.853535 


445 


10.146465 


32 


764308 


295 


91 0500 


150 


853802 


445 


146198 


28 


33 


764485 


294 


910415 


1.50 


854069 


445 


145931 


27 


34 


764662 


294 


910325 


151 


854336 


445 


145864 


26 


35 


764838 


294 


910235 


151 


854603 


445 


145397 


25 


36 


765015 


294 


910144 


151 


854870 


445 


145130 


24 


37 


765191 


294 


910054 


151 


855137 


445 


144863 


23 


38 


765367 


294 


909963 


151 


855404 


445 


144596 


22 


39 


765544 


293 


909873 


151 


855671 


444 


144329 


21 


40 
41 


765720 


293 


909782 
9. 90969 J 


151 
151 


85593S 


444 


144062 
I0.14379li 


20 
19 


9.765896 


293 


9.856204 


444 


42 


766072 


293 


90960. 


151 


856471 


444 


143529 


18 


43 


766247 


293 


009510 


151 


856737 


444 


143203 


17 


44 


766423 


293 


909419 


151 


857004 


444 


142996 


16 


45 


766598 


292 


909328 


152 


857270 


444 


142730 


15 


46 


766774 


292 


909237 


152 


857537 


444 


142463 


14 


47 


766949 


292 


909146 


152 


857802 
868069 


444 


142 197 


13 


48 


■ 767124 


292 


909055 


152 


444 


141931 


12 


49 


767300 


292 


908964 


152 


868336 


444 


141664 


11 


50 

51 


767475 


291 


908873 
9.908781 


152 

152 


858602 


443 


141398 
10.141132 


10 
9 


9.767649 


291 


9 . 868868 


443 


52 


767824 


291 


908690 


152 


8591.34 


443 


140866 


8 


53 


767999 


291 


908599 


152 


859400 


443 


140600 


7 


54 


768173 


291 


908507 


152 


859665 


443 


140334 


6 


55 


768348 


290 


908416 


153 


859932 


443 


140068 


c 


56 


768522 


290 


908324 


153 


860198 


443 


139802 


4 


57 


768697 


290 


908233 


153 


860464 


443 


139536 


3 


58 


768871 


290 


908141 


153 


860730 


443 


139270 


2 


59 


769045 


290 


908049 


153 


860995 


443 


139005 


1 


60 


769219 


290 


907958 


153 


861261 


443 


138739 







r..-x^ 




1 S.-.e 1 


.>..„... 




1 T:., . 1 M. 1 



54 Decrees. 



54 


(36 Degrees.) a 


TABLE OF LOGARITHMIC 






Sin(> 1 


B. 1 


Cn.... 1 ,. 


<;ms. \ 


D. 1 


Cotanu. 1 [. 





9.769219 


290 


9.907958 


153 


9.861261 


443 


10.138739 


60 


1 


769393 


289 


907866 


163 


861527 


443 


138473 


59 


2 


769566 


289 


907774 


153 


861792 


442 


138208 


58 


3 


769740 


289 


907682 


153 


862058 


442 


137942 


57 


4 


769913 


289 


907590 


153 


892323 


442 


137677 


56 


6 


7700S7 


289 


907498 


153 


8G2589 


442 


137411 


55 


6 


770260 


288 


907406 


153 


862854 


442 


137146 


54 


7 


770433 


288 


907314 


154 


863ii9 


442 


136881 


53 


8 


770606 


288 


907222 


164 


863385 


442 


136615 


62 


9 


770779 


288 


907129 


154 


863650 


442 


136350 


51 


10 
11 


770952 


288 


907037 
9.906945 


154 
154 


863915 


442 


136086 


50 
49 


9.771125 


288 


9.864180 


442 


10.135820 


12 


771298 


287 


906852 


154 


864445 


442 


135555 


48 


13 


771470 


287 


906760 


154 


864710 


442 


135290 


47 


14 


771643 


287 


906667 


154 


864975 


441 


135025 


46 


15 


771815 


287 


906575 


154 


8fi5240 


441 


134760 


45 


16 


771987 


287 


906482 


154 


8G5505 


441 


134495 


44 


17 


772159 


287 


906389 


155 


865770 


441 


134230 


43 


18 


772331 


286 


906296 


155 


866035 


441 


133965 


42 


19 


772503 


286 


906204 


155 


866300 


441 


133700 


41 


20 

21 


772675 


286 


906111 


155 
155 


866564 
9 7806829 


441 


133436 


40 
39 


9.772847 


286 


9.906018 


441 


10.133171 


22 


773018 


286 


905925 


155 


867094 


441 


132906 


38 


23 


773190 


286 


905832 


155 


867358 


441 


132642 


37 


24 


773361 


285 


905739 


155 


867623 


441 


132377 


36 


25 


773533 


285 


905645 


155 


867887 


441 


132113 


35 


26 


773704 


285 


905552 


155 


868152 


440 


131848 


34 


27 


773875 


285 


905469 


155 


868413 


440 


131584 


33 


28 


774046 


285 


905366 


156 


868680 


440 


131320 


32 


29 


774217 


285 


9>'5272 


156 


868945 


440 


131056 


31 


30 
31 


774388 


284 
284 


9!»5i79 


156 
156 


869209 
9.869473 


440 
440 


130791 
10.130527 


30 

29 1 


9.7745.58 


9.905085 


32 


774729 


284 


904992 


156 


869737 


440 


130263 


28 


33 


774899 


284 


904898 


156 


870001 


440 


129999 


27 


34 


775070 


284 


904804 


156 


870265 


440 


l297^^5 


26 


35 


775240 


284 


904711 


156 


870529 


440 


12947 i 


25 


36 


775410 


283 


904617 


156 


870793 


440 


129207 


24 


37 


775580 


283 


904523 


156 


871067 


440 


128943 


23 


38 


775750 


283 


904429 


157 


871321 


440 


128679 


22 


39 


775920 


283 


904335 


157 


871585 


440 


128415 


21 


40 

41 


776090 


283 


904241 


167 

157 


871849 
9.872112 


439 
439 


128161 
10.127888 


20 
19 


9.776259 


283 


9.904147 


42 


776429 


282 


904053 


157 


87':.3';6 


439 


127624 


18 


43 


776598 


282 


903959 


157 


87:^640 


439 


127360 


17 


44 


7767r.8 


282 


903864 


157 


87a903 


439 


127097 


16 


45 


776937 


282 


903770 


157 


873167 


439 


126833 


15 


46 


777106 


282 


903676 


157 


873430 


439 


126570 


14 


47 


777275 


281 


^903581 
•903487 


157 


873694 


439 


126306 


13 


48 


777444 


281 


157 


873957 


439 


126043 


12 


49 


777613 


281 


903392 


158 


874220 


439 


125780 


11 


50 
51 


777781 


281 


-903298 


158 
158 


874484 


439 


12.5516 


10 
9 


9.777950 


281 


9.903203 


9.874747 


439 


110.125253 


52 


778119 


281 


903108 


168 


876010 


439 


124990 


8 


53 


778287 


280 


903014 


158 


875273 


438 


124727 


7 


54 


778455 


280 


902919 


158 


875536 


438 


124464 


6 


55 


778624 


280 


902824 


158 


876800 


438 


124200 


5 


56 


778792 


280 


902729 


158 


876063 


438 


123937 


4 


57 


778961 


280 


902634 


158 


876326 


438 


123674 


3 


58 


77912S 


280 


902539 


159 


876589 


438 


123411 


2 


59 


77929f 


) 279 


902444 


1.59 


876851 


438 


123149 


I 


60 


77946E 


5 279 


902349 i 159 


877114 


1 438 


122886 







1 Cosinft 


1 


1 Sine 1 


1 Cotai.p. 


i 


I Ta.. 1 M 1 



53 Degrees. 







SINES AND TANGENTS. (37 Degrees 


•) 


65 


M. 


Si. ,;. 


1 


a.sr,fi 1 D. 


T ; 


■V 


r.i..,.. 1 1 


"0" 


9.779463 


279 


9.902349 


159 


9.877114 


438 


10.122886 


60 


1 


• 779331 


279 


902253 


159 


87737 f 


438 


122623 


59 


2 


779798 


279 


902158 


159 


877640 


438 


122360 


58 


3 


779966 


279 


902033 


159 


877903 


438 


122097 


57 


4 


780133 


279 


901967 


159 


878165 


438 


121835 


56 


5 


780300 


278 


901872 


159 


878428 


438 


121.572 


55 


6 


780467 


278 


901776 


159 


878691 


438 


121309 


54 


7 


780634 


278 


901681 


159 


878953 


437 


121047 


53 


8 


780801 


278 


9015S5 


159 


8792:6 


437 


120784 


52 


9 


780968 


278 


901490 


159 


879478 


437 


120522 


51 


10 


781134 


278 


901394 


160 


8/9741 


437 


120259 


50 


11 


9.7S1301 


277 


9.901298 


160 


9.880003 


437 


10.119997 


49 


12 


781468 


277 


901202 


160 


8^:)265 


437 


119735 


48 


13 


781634 


277 


901106 


160 


S80528 


437 


119472 


47 


14 


781800 


277 


901010 


160 


880790 


437 


119210 


46 


15 


781966 


277 


900914 


160 


881052 


437 


118948 


45 


16 


782.32 


277 


900818 


160 


881314 


437 


118686 


44 


'7 


782298 


276 


900722 


160 


881576 


437 


118424 


43 


i8 


7824:64 


276 


900626 


160 


88 1839 


437 


118161 


42 


l9 


782630 


276 


900529 


160 


882101 


437 


117899 


41 


■zo 


782796 


276 


900433 


161 


8^23-^^3 


436 


117337 


40 


■zl 


9.782961 


276 


9.900337 


161 


9.882625 


436 


10.117375 


39 


22 


783127 


276 


• 900240 


161 


83:8887 


436 


117113 


38 


23 


7S3292 


275 


900144: 


161 


883148 


436 


116852 


37 


24 


783453 


2/5 


90004/ 


161 


883410 


436 


116590 


36 


■Zr> 


783623 


275 


89995 i 


161 


883672 


436 


116328 


35 


26 


7837S3 


275 


899854 


161 


883934 


436 


116066 


34 


27 


783953 


275 


899757 


161 


8S4196 


436 


115804 


33 


28 


784118 


275 


899660 


161 


884457 


436 


115543 


32 


29 


7842S2 


274 


899564 


161 


884719 


i36 


115281 


31 


30 


784447 


274 


899467 


162 


S84980 


436 


115020 


30 


31 


9.784612 


274 


9.899370 


162 


Q.SSiyz'lz 


436 


10.114753 


29 


32 


784776 


274 


899273 


162 


385503 


436 


114497 


28 


33 


784941 


274 


899173 


182 


88 5765 


436 


114235 


27 


34 


785105 


274 


899073 


162 


88 6026 


436 


113974 


26 


35 


785269 


273 


898981 


162 


886288 


436 


113712 


25 


36 


785433 


273 


898884 


162 


886549 


435 


113451 


24 


37 


7S55)7 


273 


89S787 


162 


886810 


435 


113190 


23 


38 


785761 


273 


898689 


162 


887072 


435 


112928 


22 


39 


785925 


273 


898592 


162 


887333 


435 


112667 


21 


iO 
41 


7860S9 


273 


898494 
9.898397 


163 
163 


887594 
9.887855 


435 
435 


112406 


20 
19 


9.786252 


272 


10.112145 


42 


786416 


272 


898299 


163 


888.16 


435 


111884 


18 


43 


7865/9 


272 


898202 


163 


888377 


435 


111623 


17 


44 


786742 


272 


898104 


163 


888639 


435 


111361 


16 


45 


786906 


272 


898006 


163 


888900 


435 


111100 


15 


46 


787069 


272 


897908 


163 


839160 


435 


110840 


14 


47 


787232 


271 


897810 


163 


83942 [ 


435 


110579 


13 


48 


787395 


271 


897712 


163 


889682 


435 


110318 


12 


49 


787557 


271 


897614 


163 


839943 


435 


110057 


11 


50 
51 


787720 


271 


697516 
9.897418 


163 
164 


890204 


434 


109796 


10 
9 


9.787883 


27] 


9.890465 


434 


10.109535 


52 


788045 


271 


897320 


164 


8907ai 


434 


109275 


8 


53 


788208 


271 


897222 


164 


890986 


434 


109014 


7 


54 


788370 


270 


897123 


164 


891247 


434 


108753 


6 


55 


788532 


270 


897025 


164 


891.507 


434 


108493 


5 


56 


788694 


270 


896926 


164 


891768 


434 


108232 


4 


57 


788856 


270 


896828 


164 


892028 


434 


107972 


3 


58 


789018 


270 


896729 


164 


892283 


434 


107711 


2 


59 


789180 


270 


896631 


164 


892549 


434 


107451 


1 


60 


789342 


269 


896532 


164 


892310 


434 


107190 





~\ 


■..'..si..: 




Siae ! 


Oot ,g. 




Ta„g. 1 J 



56 


(38 Degrees.) a 


TABLE OF LOGARITHMIC 






... 1 


•>. 


, u.'.u. I D. ! 


T.- 


U. 


Cotany. 1 


IT 


9.789342 


269 


9.896532 134 


9.892810 


434 


10. 107190; 60 


1 


789504 


269 


8964S3 165 


893070 


434 


1069301 


59 


2 


789665 


269 


896335 


165 


893331 


434 


106669 


58 


3 


789827 


239 


896236 


165 


89.3591 


434 


106409 


57 


4 


789988 


269 


896137 


165 


893851 


434 


106149 


56 


5 


790149 


269 


896038 


165 


894111 


434 


105889 


55 


6 


790310 


268 


895939 


165 


894371 


434 


105629 


54 


7 


790471 


268 


895840 


165 


894632 


433 


10.5368 


53 


8 


790632 


268 


895741 


165 


894892 


433 


105108 


52 


9 


790793 


268 


895641 


165 


895152 


433 


104848 


51 


10 
11 


790954 


268 


895542 
9. G 95443 


165 
166 


895412 
9.895672 


433 


104588 


50 
49 


9.791115 


268 


433 


10.104328 


12 


791275 


267 


895343 


163 


895932 


433 


104068 


48 


13 


791436 


267 


895244 


166 


893192 


433 


103808 


47 


14 


791596 


267 


895145 


166 


896452 


433 


103548 


46 


15 


791757 


267 


89504?. 


163 


896712 


433 


103288 


45 


16 


791917 


267 


894945 


166 


896971 


433 


103029 


44 


17 


792077 


267 


894846 


166 


897231 


433 


102769 


43 


18 


792237 


266 


894746 


166 


897491 


433 


102509 


42 


19 


792397 


266 


894646 


166 


897751 


433 


102249 


41 


20 

21 


792557 
9.792716 


26. '^^ 


894546 


166 

167 


898010 


433 


101990 


40 
39 


266 


9.894446 


9.898270 


433 


10.101730 


22 


792876 


266 


894346 


167 


89-530 


433 


101470 


38 


23 


793035 


266 


894246 


167 


89S789 


433 


101211 


37 


24 


793195 


265 


894146 


167 


899049 


432 


100951 


36 


25 


793354 


265 


894046 


187 


899308 


432 


100692 


35 


23 


793514 


265 


893946 


167 


899568 


432 


100432 


34 


27 


793673 


255 


893846 


167 


839827 


432 


100173 


33 


2S 


79S832 


265 


893745 


167 


900086 


432 


099914 


32 


29 


7939yl 


265 


893i;.45 


167 


900.346 


432 


0996.54 


31 


30 
31 


794150 


264 


89334 4 
9.893444 


167 
168 


900605 


432 


039395 


30 

29 


9.794J?0'N 


26^ 


9.900864 


432 


10.099136 


32 


794437 


264 


893343 


168 


901124 


432 


098376 


28 


33 


794626 


264 


893243 


168 


90 ms" 


432 


098617 


27 


34 


794784 


264 


893142 


168 


901642 


432 


098358 


26 


35 


794942 


264 


893041 


168 


901901 


432 


098099 


25 


36 


795101 


264 


892940 


168 


902160 


432 


097840 


24 


37 


795259 


263 


892839 


168 


902419 


432 ■ 


097581 


23 


38 


795417 


263 


892709 


168 


902679 


432 


097321 


22 


39 


795o75 


263 


892638 


168 


902938 


432 


097062 


21 


40 


795733 


263 


892536 


168 


903197 


431 


096803 


20 


41 


9.795S91 


263 


9.892435 


169 


9.903455 


■ 431 


10.096545 


19 


42 


796049 


263 


892334 


169 


90.-^714 


431 


096286 


18 


43 


796-206 


263 


892233 


169 


903973 


431 


096027 


17 


44 


793364 


262 


892132 


169 


904232 


431 


095768 


16 


45 


796521 


262 


89203;) 


169 


904491 


431 


095509 


15 


46 


79667y 


262 


891920 


169 


904750 


431 


09.5250 


14 


47 


796S36 


262 


891827 


139 


905008 


431 


094992 


13 


48 


796993 


262 


891726 


169 


905267 


431 


094733 


12 


49 


7971.50 


261 


891624 


169 


fj05526 


431 


094474 


11 


50 

51 


797307 
9.797464 


261 


8915-J3 
^891421 
^89 13 i 9 


170 
170 


905734 
9.903043 


431 
431 


094213 


10 
9 


261 


10.093957 


52 


7976.il 


261 


170 


90-302 


431 


093898 


8 


53 


7977-7 


261 


891217 


170 


903360 


431 


093440 


7 


54 


797934 


261 


891115 


170 


906819 


431 


093 LSI 


6 


55 


798091 


281 


891013 


170 


907077 


431 


092923 


5 


56 


798247 


261 


890911 


170 


907336 


431 


092664 


4 


57 


798403 


260 


890809 


170 


907594 


431 


092406 


3 


58 


7985H0 


260 


890707 


170 


907852 


431 


092148 


2 


59 


798716 


260 


890n05 


170 


908111 


430 


091889 


1 


60 


798872 


260 


890503 


170 


90S369 


430 


091631 







1 Cosine 


" 


Si.e 1 


'^oiai: 




1 -avg. 1 M I 



51 Degrees. 





SINES AND TANGENTS. (39 Degrees.) 


57 


\i 


1 ?.., 


1 I' 


1 <:•■ 1.* 1 >•. 


! 'J'aiig. 


1 D. 


1 Coiaiig. 1 j 


"^ 


9.79887ii 


1 260 


9.890503 


170 


9.908369 


430 


10.091631 


60 


1 


799028 


260 


890400 


171 


908628 


430 


091372 


59 


2 


799184 


260 


890298 


171 


908886 


430 


091114 


58 


3 


799339 


259 


890195 


171 


909144 


430 


090856 


57 


4 


799495 


259 


890093 


171 


909402 


430 


090598 


56 


5 


799651 


259 


889990 


171 


909660 


430 


090340 


55 


6 


799806 


259 


889888 


171 


909918 


430 


090082 


54 


7 


799962 


259 


889785 


171 


910177 


430 


089823 


53 


8 


800117 


259 


889682 


171 


910435 


430 


089565 


52 


9 


, 800272 


258 


889579 


171 


910693 


430 


089307 


51 


10 
11 


800427 


258 


889477 


171 
172 


910951 


430 


089049 


50 
49 


9.800582 


258 


9.889374 


9.911209 


430 


10.088791 


12 


800737 


258 


889271 


172 


911467 


430 


088533 


48 


13 


800892 


258 


889168 


172 


911724 


430 


088276 


47 


14 


801047 


258 


889064 


172 


911982 


430 


088018 


46 


15 


801201 


258 


888961 


172 


912240 


430 


087760 


45 


16 


801356 


257 


888858 


172 


912498 


430 


087502 


44 


17 


801511 


257 


888765 


172 


912756 


430 


087244 


43 


18 


801665 


257 


888651 


172 


913014 


429 


086986 


42 


19 


801819 


257 


888548 


172 


913271 


429 


086729 


41 


20 
21 


801973 
9.802128 


257 
257 


888444 


173 
173 


913529 


429 


086471 


40 
39 


9.888341 


9.913787 


429 


10.086213 


22 


802282 


256 


888237 


173 


914044 


429 


085956 


38 


23 


802436 


256 


888134 


173 


914302 


429 


085698 


37 


24 


802589 


256 


888030 


173 


914560 


429 


085440 


36 


25 


802743 


256 


887926 


173 


914817 


429 


085183 


35 


26 


802897 


256 


887822 


173 


915075 


429 


084925 


34 


27 


803050 


256 


887718 


173 


915332 


429 


084668 


33 


28 


803204 


256 


887614 


173 


915590 


429 


084410 


32 


29 


803357 


255 


887510 


173 


915847 


429 


084153 


31 


30 
31 


803511 


255 


887406 
9.887302 


174 
174 


916104 


429 


083896 


30 

29 


9.803664 


255 


9.916362 


429 


10.083638 


32 


803817 


255 


887198 


174 


916619 


429 


083381 


28 


33 


803970 


255 


887093 


174 


916877 


429 


083123 


27 


34 


804123 


255 


886989 


174 


917134 


429 


082866 


26 


35 


804276 


254 


886885 


174 


91739] 


429 


082609 


25 


36 


804428 


254 


886780 


174 


917648 


429 


082352 


24 


37 


804581 


254 


886676 


174 


917905 


429 


082095 


23 


38 


804734 


254 


886571 


174 


918163 


428 


081837 


22 


39 


804886 


254 


886466 


174 


918420' 


428 


081580 


21 


40 
41 


805039 
9.805191 


254 


886362 
9.886257 


175 
175 


918677' 


428 


081323 
10.081066 


20 
19 


254 


9.918934 


428 


42 


805343 


253 


886152 


175 


919191 


428 


080809 


18 


43 


805495 


253 


886047 


175 


919448 


428 


080552 


17 


44 


805647 


253 


885942 


175 


919705 


428 


080295 


16 


45 


805799 


253 


885837 


175 


919962 


428 


• 080038 


15 


46 


805951 


253 


885732 


175 


920219 


428 


079781 


14 


47 


806103 


253 


885627 


175 


9204761 


428 


079524 


13 


48 


806254 


253 


885522 


175 


920733, 


428 


079267 


12 


49 


806406 


252 


885416 


175 


920990 


428 


079010 


11 


50 
51 


806557 

9. 806709 i 

806860 

807011 


252 


885311 


176 
176 


9212471 


428 


078753 


10 
9 


252 


9.885205 


.9.921503 


428 


10.078497 


52 


252 


885100 


176 


921760 


428 


078240 


8 


53 


252 


884994 


176 


922017' 


428 


077983 


7 


54 


807163 


252 


884889 


176 


922274! 


428 


077726 


6 


55 


807314 


252 


884783 


176 


9225301 


428 


077470 


5 


56 


807465 


251 


884677 


176 


9227871 


428 


077213 


4 


57 


807615 


251 


884572 


176 


9230441 


428 


07695G 


3 


58 


807766 


251 


884466 


176 


923300 


428 


076700 


2 


59 


807917 


251 


884360 


176 


923557 


427 


076443 


1 


60 


808067 


251 


8842541 177t 


923813 


427 


076187 





Li 


Cosine 1 


1 


S.ne 1 1 


Coianir. 1 


1 


Tang. j M. | 



50 Degrees. 

H 



(40 Desrrces."^ a table or logabithiiic 



9. SO' 



067' 251 I 9 

:S 251 

250 

^ 250 

- 250 

250 

250 

250 




1? 
-±y 
50 

51 
dv. 
53 
5-± 
55 
56 
57 



14460 
14607 
14753 
14900 
1.5<:Mr6 
15193 
15339 
15485 



9.S15631 



lo'-iO 

16361 
L6507 

16652 
16795 
■16345 



■ ? ' :-' -. 


24fi 


_ .- , ■> y 


246 


' ,--- "• 


245 


i.io. ? 


245 


13725 


245 


13S73 


245 



244 
244 
244 
244 
244 
244 
244 
243 ' 



24:3 
243 
•243 
24:3 
243 
243 
242 
242 
242 
242 



9.SHif^ 




i K _ ■ ^M 




?> i . ^. 


— 


> ? ■; r •: : 




SSa^-iy 


1 ( 7 


8S3723 


177 


8S3517 


" 77 


ii:- 





?':::_ 




"* ^ ■: , 7 




- , - ^ .- '^- - 


--:— 


> ^ ', r . . 


>, 


S S '1 S " 1 


'78' 


S ^ ■- ~ ' ^ 


~>. 


5 ^ , ; : 


" ~ ■: 


^ ^ ', ' " 


■ "^ 


SS'l'41r.: 




SS233-: 


~ '- 


S?22i.r 




^ "* 2 1 2 1 


17 r 


-• . "^82014 


17 r 


si" 'r>' ~ 




ssiT--:- 


1"- 


^ ^ ' - ^ -^ 


■ ~ - 


vi - ---. 




S- „^^ 




t»3i.5oy 


1 «>* 


881261 


180? 


«Sil53 


ISO' 


^^ .'}^: 


I-— 


' 11 il' 


'I - 


S * ; " "1 Q 


_^ . 


ii-.A - :- 




8305V = 




88039 




»«0-2~r 




S 5 '} 1 ^ J 


^ V 3^. 


ii '-..i---' 


" ^1 • 


' - ' ; : ; 


:5i 




1^1 


; 7 - 7^- 




S7yDb~ 




S7952.: 


_ ^ - 


87&42U 


• X- 


879311 


-li.- 


879202 


18-; 


879C»93 


18': 


87S9S4 


18-: 


S78S75 


!».•; 


Z. _ i.7i7nr; 


. 18C 


S7'i656 


- i--- 


875547 


I'^C 


87*4:^? 


18-: 


S7S32^ 


I''- 


87521 r 


" - - 


>» , ^ 1 ■ - 




877&r: 




8778- 




87778: 





'.Q76187" 60 
075930 59 
075673 58 



o7 



427 
427 
427 
437 



9268^1 
9271471 

f*2^'^4'"»3' 



281711 
28427^ 
C-68t3' 



427 
427 
427 
427 
427 
427 
427 
427 
427 
427 



427 ' 



075417 
075160 53 
0749<:i4 55 
074-648 54 
074391 53 
074135 52 
073-78 51 

073622 50 

10.073366! 49 
073110 48 
072853 47 
072597 46 
072341 45 
072«}S5 44 
07 IS 29 43 
071573 42 
071317 41 
071060 40 



^2 a 
426 
426 

425 



ae 



10.070804 39 
070548 3S 
07CHi92 37 
070036 35 
069780 35 
069525 34 
069269j 33 



069013 



0687571 31 



068501 



9335451 
933800^ 

? 3-40 3 3 



428 
428 
426 
^6 
426 
426 
426 
426 
426 



* ,3 

.:33 



426 
426 



426 
426 

426 



32 



30 
29 



10.068245 
067990 
067734i27 

06717?' -28 

0--2CC 25 

uo6711 23 
066455 
066200 
065944 20 



10.065689 19 
065433 13 
065177 
0649?2 16 



13 



Tali "MT 





s 


INES AND TAKGi 


:?,TS 


. (41 Degrees 





59 


M 


.in. 


1 D. 


Cosiiie 1 D. 




D. 


Colang. 1 1 





9.816943 


242 


9.877780 


183 


9.939163 


425 


10.060837 


60 


1 


817088 


242 


877670 


183 


939418 


425 


060582 


59 


2 


817233 


242 


877560 


183 


939673 


425 


060327 


58 


3 


817379 


242 


877450 


183 


939928 


425 


060072 


57 


4 


817524 


241 


877340 


183 


940183 


425 


059817 


56 


5 


817668 


241 


877230 


184 


940438 


425 


059562 


56 


6 


817813 


241 


877120 


184 


940694 


425 


0.59306 


54 


7 


817958 


241 


877010 


184 


940949 


425 


059051 


53 


8 


818103 


241 


876899 


184 


941204 


425 


058796 


52 


9 


818247 


241 


876789 


184 


941458 


425 


058542 


51 


10 
11 


818392 


241 


876678 


184 
184 


941714 


425 


058286 


50 
49 


9.818536 


240 


9.876568 


9.941968 


425 


10.058032 


12 


818681 


240 


876457 


184 


942223 


425 


057777 


48 


13 


818825 


240 


876347 


184 


942478 


425 


057522 


47 


14 


818969 


240 


876236 


185 


942733 


426 


057267 


46 


15 


819113 


240 


876125 


185 


942988 


425 


057012 


45 


16 


819257 


240 


876014 


185 


943243 


425 


056757 


44 


17 


819401 


240 


875904 


185 


943498 


426 


056502 


43 


18 


819545 


239 


875793 


185 


943752 


425 


056248 


42 


19^ 


819689 


239 


875682 


185 


944007 


426 


05.5993 


41 


20 
21 


819832 


239 


875571 
9.875459 


185 
185 


944262 


425 


055738 


40 
39 


9.819976 


239 


9.944517 


425 


10.055483 


22 


820120 


239 


875348 


186 


944771 


424 


055229 


38 


23 


820263 


239 


875237 


185 


945026 


424 


054974 


37 


24 


820406 


239 


875126 


186 


94.5281 


424 


054719 


36 


25 


820550 


238 


875014 


186 


945535 


424 


054465 


36 


26 


820693 


238 


874903 


186 


945790 


424 


054210 


34 


27 


820836 


238 


874791 


186 


946045 


424 


053956 


33 


28 


820979 


238 


874680 


186 


946299 


424 


053701 


32 


29 


821122 


238 


874568 


186 


946554 


424 


053446 


31 


30 

31 


821265 


238 


874456 
9.874344 


186 
186 


946808 


424 


0.53192 


30 

29 


9.821407 


238 


9.947063 


424 


10.052937 


32 


8215.50 


238 


874232 


187 


947318 


424 


0.52682 


28 


33 


821693 


237 


874121 


187 


947572 


424 


052428 


27 


34 


821835 


237 


874009 


187 


947826 


424 


062174 


26 


35 


821977 


237 


873896 


187 


948081 


424 


051919 


25 


36 


822120 


237 


873784 


187 


948336 


424 


051664 


24 


37 


822262 


237 


873672 


187 


948590 


424 


051410 


23 


38 


822404 


237 


873560 


187 


948844 


424 


061156 


22 


39 


822546 


237 


873448 


187 


949099 


424 


050901 


21 


40 
41 


822688 
9.822830 


236 
236 


873335 
9.873223 


187 

187 


949353 


424 


050847 


20 
19 


9.949607 


424 


10.060393 


42 


822972 


2.36 


873110 


188 


949862 


424 


0.50138 


18 


43 


823114 


236 


872998 


188 


950116 


424 


049884 


17 


44 


823255 


236 


872885 


188 


950370 


424 


049630 


16 


45 


823397 


236 


872772 


188 


950625 


424 


049375 


16 


46 


823539 


236 


872659 


188 


950879 


424 


049121 


14 


47 


823680 


235 


872547 


188 


951133 


424 


048867 


13 


48 


823821 


235 


872434 


188 


951388 


424 


048612 


12 


49 


823963 


235 


872321 


188 


951642 


424 


048358 


11 


50 
51 


824104 


235 


872208 
9.872095 


188 
189 


951896 


424 


048104 


10 
9 


9.824245 


235 


9.952150 


424 


10.047860 


52 


824386 


235 


871981 


189 


952405 


424 


047595 


8 


53 


824527 


235 


871868 


189 


952659 


424 


047341 


7 


54 


824668 


234 


871755 


189 


952913 


424 


047087 


6 


55 


824808 


234 


871641 


189 


953167 


423 


046833 


6 


56 


824949 


234 


871528 


189 


953421 


423 


046679 


4 


57 


825090 


234 


871414 


189 


953675 


423 


046325 


3 


58 


825230 


234 


871801 


189 


953929 


423 


046071 


2 


59 


826371 


234 


871187 


189 


954183 


423 


04.5817 1 


60 


825511 


234 


871073 


190 


954437 


423 


045563 




1 Cosine 


1 


SSine 1 


Colanc 


i 


Tang. 1 M. 



43 Degrees. 



60 



(42 Degrees.) a table of logaeithmic 



M. 


Sine 


D. 


r,... 1 n 1 


Ta.:. 1 


^'• 


c... i 1 


~o" 


9.8255111 


234 j 


9.871073! 190, 


9.954437, 


423 


10.045563; 


60 


1 


825651 


233 1 


870960 i90: 


954691 


423 


0453091 


59 


2 


825791 


233 ! 


8708461 ]90i 


9.549451 


423 


04.50551 


58 


3 


825931 


2.33 1 


870732! ]90i 


955200 


423 


0448001 


57 


4 


826071 


233 ! 


870618 


190 


9554.54 


423 


044546: 


56 


5 


826211 


233 1 


870504 


190 


955707 


423 


044293! 


55 


6 


826351 


233 


870390 


190 


955961 


423 


044039: 


54 


7 


826491 


2.33 


870276 


190 


956215 


423 


043785! 


53 


8 


826631 


233 


870161 


190 


956469 


423 


043531! 


52 


9 


826770 


232 


870047 


191 


956723 


423 


0432771 


51 


10 
11 


826910 


232 i 


8699.33 
9.869818 


191 
191 


956977 


423 


0430231 
10.042769' 


50 

49 


9.827049 


232 i 


9.957231 


423 


12 


827189 


232 


869704 


191 


957485 


423 


042515 


48 


13 


827328 


232 


869589 


191 


957739 


423 


0422611 


47 


14 


827467 


232 


869474 


191 


957993 


423 


0420071 


46 


15 


827606 


232 


869360 


191 


958246 


423 


041754^ 


45 


16 


827745 


232 1 


869245 


191 


958500 


423 


041. 500 i 


44 


17 


827884 


231 1 


8691.30 


191 


95S754 


423 


0412461 


43 


18 


828023 


231 


869015 


192 


959008 


423 


040992! 


42 


19 


828162 


231 


86P900 


192 


959262 


423 


040738 ! 


41 


20 
21 


828301 


231 


666785 
9.866670 


192 
192 


959516 


423 


040484 


40 
39 


9.828439 


231 


9.959769 


423 


10.040231 


22 


828578 


231 


868555 


192 


960023 


423 


039977: 


38 


23 


828716 


231 


868440 


192 


960277 


423 


039723: 


37 


24 


828855 


230 


868324 


192 


960531 


423 


039469; 


36 


25 


828993 


230 


868209 


192 


960784 


423 


0392161 


35 


26 


829131 


230 


868093 


192 


961038 


423 


038962! 


34 


27 


829269 


230 


867978 


193 


961291 


423 


0387091 


33 


28 


829407 


230 


867862 


193 


961.545 


423 


038455' 


32 


29 


• 829545 


230 


867747 


193 


961799 


423 


0.38201; 


31 


30 

31 


829683 


230 


867631 
9.867515 


193 
193 


962052 


423 


037948; 
10.037694^ 


30 
29 


9.829S21 


229 


9.962306 


423 


32 


829959 


229 


867399 


193 


962560 


423 


037440' 


28 


33 


830097 


229 


867283 


193 


962813 


423 


037187 


27 


34 


830234 


229 


867167 


193 


96.3067 


423 


036933 


26 


35 


830372 


229 


867051 


193 


963320 


423 


036680 


25 


36 


830509 


229 


866935 


194 


963574 


423 


036426 


24 


37 


830546 


229 


866819 


194 


963827 


423 


036173 


23 


38 


830784 


229 


866703 


194 


964081 


423 


035919 


22 


39 


830921 


228 


866586 


194 


964335 


423 


035665 


21 


40 
41 


831058 


228 


866470 


194 
194 


964588 


422 


035412 
10.035158 


20 
19 


9.831195 


228 


9.866353 


9.964842 


422 


42 


831332 


228 


866237 


194 


965095 


422 


0.34905 


18 


43 


831469 


228 


866120 


194 


965349 


422" 


0.34651 


17 


44 


831606 


228 


•866004 


195 


965602 


422 


034398 


16 


45 


831742 


228 


865887 


195 


965855 


422 


034145 


15 


46 


831879 


228 


865770 


195 


966109 


422 


033891 


14 


47 


832015 


227 


865653 


195 


966362 


422 


033638 


13 


48 


832152 


227 


865536 


195 


966616 


422 


033384 


12 


49 


832288 


227 


865419 


195 


966869 


422 


033131 


11 


50 
51 


832425 


227 


865302 
9.865185 


195 
195 


967123 


422 


032877 


10 
9 


9.832561 


227 


9.967375 


422 


10.032624 


52 


832697 


227 


865068 


195 


967629 


1 422 


032371 


8 


53 


832833 


227 


864950 


195 


967883 


422 


032117 


7 


54 


832969 


226 


864833 


196 


968136 


422 


031864 


6 


55 


833105 


226 


864716 


196 


968389 


422 


031611 


5 


56 


833241 


226 


864598 


1 196 


968643 


422 


JD31357 


4 


57 


833377 


226 


864481 


1196 


968896 


422 


031104 





58 


^ 833512 


226 


864363 


196 


969149 


422 


030851 


2 


59 


833648 


226 


864245 


196 


969403 


422 


030597 


1 


60 


83378S 


226 


864127 


196 


969656 


422 


i 030344 







j Conine 


1 


1 Sine 1 


I Crtar.H. 


! 


1 T:.. ,■ 



47 Degrees. 





SINES AND TANGENTS 


(43 Degrees.) 


61 


1 


Si:... 1 


^. 1 


•, oj^.;;, 1 D. 1 


Taiij;. 


D. i 


Co-..,g. 1 





9.833783 


226 1 


9.864127 


196 


9.969656 


422 


10.030344,60 


1 


833919 


225 


864010 


196 


969909 


422 


030091 


59 


2 


834054 


225 


863892 


197 


970162 


422 


029838 


58 


3 


834189 


225 


863774 


197 


970416 


422 


029584 


57 


4 


834325 


225 


863656 


197 


970669 


422 


029331 


56 


5 


834460 


225 


863538 


197 


970922 


422 


0290781 


55 


6 


834595 


225 


863419 


197 


971175 


422 


0288251 


54 


7 


834730 


225 


863301 


197 


971429 


422 


028571 


53 


8 


834865 


225 


863183 


197 


971682 


422 


028318 


52 


9 


834999 


224 


863064 


197 


971935 


422 


028065 


51 


10 
11 


835134 


224 


862946 


198 
198 


972188 


422 


027812 


50 

49 


9.835269 


224 


9.862827 


9.972441 


422 


10.027559 


12 


835403 


224 


862709 


198 


972694 


422 


027306 


48 


13 


835538 


224 


862590 


198 


972948 


422 


027052 


47 


14 


835672 


224 


862471 


198 


973201 


422 


026799 


46 


15 


835807 


224 


862353 


198 


973454 


422 


026.546 


45 


16 


835941 


224 


862234 


198 


973707 


422 


026293 


44. 


17 


836075 


223 


862115 


198 


973960 


422 


026040 


43 


18 


836209 


223 


861996 


198 


974213 


422 


025787 


42 


19 


836343 


223 


861877 


198 


974466 


422 


025534 


41 


20 

21 


836477 


223 


861758 


199 
199 


974719 
9.974973 


422 


025281 
10.025027 


40 
39 


9.836611 


223 


9.861638 


422 


22 


836745 


223 


861519 


199 


975226 


422 


024774 


38 


23 


836878 


223 


861400 


199 


975479 


422 


024521 


37 


24 


837012 


222 


861280 


199 


975732 


422 


024268 


36 


25 


837146 


222 


861161 


199 


975985 


422 


024015 


35 


26 


837279 


222 


861041 


199 


976238 


422 


023762 


34 


27 


837412 


222 


860922 


199 


976491 


422 


023509 


33 


28 


837546 


222^ 


860802 


199 


976744 


422 


023256 


32 


29 


837679 


222^ 


* 860682 


200 


976997 


422 


023003 


31 


30 

31 


837812 
9.837945 


222 


860562 


200 
200 


977250 


422 


022750 


30 
29 


222 


9.860442 


9.977503 


422 


10.022497 


32 


838078 


221 


860322 


200 


977756 


422 


022244 


28 


33 


838211 


221 


860202 


200 


978009 


422 


021991 


27 


34 


838344 


221 


860082 


200 


978262 


422 


021738 


26 


35 


838477 


221 


859962 


200 


978515 


422 


021485 


25 


36 


838610 


221 


859842 


200 


978768 


422 


021232 


24 


37 


838742 


221 


859721 


201 


979021 


422 


020979 


23 


38 


838875 


221 


859601 


201 


979274 


422 


020726 


22 


39 


839007 


221 


859480 


2^' I 


979527 


422 


020473 


21 


40 
4i 


839140 
9.839272 


220 


859360 
9.859239 


201 
201 


979780 


422 


020220 
10.019967 


20 
19 


220 


9.980033 


422 


42 


839404 


220 


859119 


201 


980286 


422 


019714 


18 


43 


839536 


220 


8.58998 


201 


9805.38 


422 


019462 


17 


44 


839668 


220 


858877 


201 


980791 


421 


019209 


10 


45 


839800 


220 


858756 


202 


981044 


421 


018956 


15 


46 


839932 


220 


858635 


202 


981297 


421 


018703 


14 


47 


840064 


219 


858514 


202 


981.550 


421 


018450 


13 


48 


840196 


219 


858393 


202 


981803 


421 


018197 


12 


49 


840328 
840459 


1 219 


858272 


202 


982056 


421 


017944 


11 


50 
51 


' 219 


858151 
9.858029 


202 
202 


982309 


421 


017691 


10 

! 9 


9.840591 


219 


9.982.562 


421 


10.017438 


52 


840722 


219 


857908 


202 


982814 


421 


017186 


8 


53 


840854 


t 219 


857786 


202 


98.3067 


421 


016933 


7 


54 


84098? 


» 219 


857665 


20.3 


98332C 


421 


016680 


6 


55 


841116 


) 218 


857543 


203 


983572 


421 


016427 


5 


56 


84124^ 


r 218 


857422 


203 


983826 


421 


016174 


L 4 


57 


84137e 


i 218 


85730C 


202 


98407£ 


) 421 


01.5921 3 


58 


841.50C 


) 218 


857178 20S 


984331 


421 


015669 2 


59 


84164( 


) 218 


857056 202 


98458^ 


t 421 


01.5416 1 


60 


84177 


L 218 


8569341 202 


98483' 


' 421 


015163 




1 Cosine 


1 


j Sine 1 


1 Cotanc 


1 


1 ""ang. 1 M. 



Degrees. 



62 


(44 Degrees.) a 


TABLE OF LOGARITHMIC 






s... 




<V..,e 1 


Taii'i- 


D. 


Cuta.,,... 1 1 





9.841771 


218 


9.856934 


203 


9.984837 


421 


10.015163 


60 


1 


841902 


218 


856812 


203 


985090 


421 


014910 


59 


2 


842033 


218 


856690 


204 


985343 


421 


014657 


58 


3 


842163 


217 


8.56568 


204 


985596 


421 


014404 


57 


4 


842294 


217 


856446 


204 


985848 


421 


014152 


56 


5 


842424 


217 


856323 


204 


986101 


421 


013899 


55 


6 


842555 


217 


856201 


204 


986354 


421 


013646 


54 


7 


842685 


217 


856078 


204 


986607 


421 


013393 


53 


8 


842815 


217 


855956 


204 


986860 


421 


013140 


52 


9 


842946 


217 


855833 


204 


987112 


421 


012888 


51 


10 
11 


843076 
9.843206 


217 


855711 


205 
205 


987365 
9.987618 


421 


012635 

10.012382 


50 
49 


216 


9.855588 


421 


12 


843336 


216 


855465 


205 


987871 


421 


012129 


48 


13 


843466 


216 


855342 


205 


988123 


421 


011877 


47 


14 


843595 


216 


855219 


205 


988376 


421 


011624 


46 


15 


843725 


216 


855096 


205 


988629 


421 


011371 


45 


16 


843855 


216 


854973 


205 


988882 


421 


011118 


44 


17 


843984 


216 


854850 


205 


989134 


421 


010866 


43 


18 


844114 


215 


854727 


206 


989387 


421 


010613 


42 


19 


844243 


215 


854603 


206 


989640 


421 


010380 


41 


20 

21 


844372 
9.844502 


215 


854480 
9.854356 


206 

206 


989893 
9.990145 


421 


010107 


40 
39 


215 


421 


10.009855 


22 


844631 


215 


854233 


206 


990398 


421 


009602 


38 


23 


844760 


215 


854109 


206 


990651 


421 


009349 


37 


24 


844889 


215 


853986 


206 


990903 


421 


009097 


36 


25 


845018 


215 


853862 


206 


991156 


421 


008844 


35 


26 


845147 


215 


853738 


206 


991409 


421 


008591 


34 


27 


845276 


214 


853614 


207 


991662 


421 


008338 


33 


28 


845405 


214 


853490 


207 


991914 


421 


008086 


32 


29 


845533 


214 


853386 


207 


992167 


%21 


007833 


31 


30 

31 


845662 
9.845790 


2]4 


853242 
9.853118 


207 
207 


992420 
9.992672 


421 


007580 


30 

29 


214 


421 


10,007328 


32 


845919 


214 


852994 


207 


992925 


421 


007075 


28 


33 


846047 


214 


852869 


207 


993178 


421 


006822 


27 


34 


846175 


214 


852745 


207 


993430 


421 


006570 


26 


35 


846304 


214 


852620 


297 


9936S3 


421 


006317 


25 


36 


846432 


213 


852496 


208 


993936 


421 


006034 


24 


37 


846560 


213 


852371 


208 


994139 


421 


005811 


23 


38 


846688 


213 


852247 


208 


994441 


421 


005559 


22 


39 


846816 


213 


852122 


203 


994694 


421 


005306 


21 


40 
41 


846944 
9.847071 


213 


851997 


208 
208 


994947 
9.995199 


421 


005053 


20 
19 


213 


9.851872 


421 


10.004801 


42 


847199 


213 


851747 


208 


995452 


421 


, 004548 


18 


43 


847327 


213 


851622 


208 


995705 


421 


004295 


17 


44 


847454 


212 


851497 


209 


995957 


421 


004043 


16 


45 


847582 


212 


851372 


209 


996210 


421 


003790 


15 


46 


847709 


212 


851246 


209 


996463 


421 


003537 


14 


47 


847836 


212 


851121 


209 


996715 


421 


00.3285 


13 


48 


847964 


212 


850996 


209 


996968 


421 


003032 


12 


49 


848091 


212 


850870 


209 


997221 


421 


002779 


11 


50 
51 


848218 


212 


850745 


209 
209 


997473 
9.997726 


421 


002527 


10 
9 


9.848345 


212 


9.850619 


421 


10-. 002274 


52 


848472 


211 


850493 


210 


997979 


421 


002021 


8 


53 


848599 


211 


850368 


210 


998231 


421 


001769 


7 


54 


848726 


211 


850242 


210 


998484 


421 


001516 


6 


55 


848852 


211 


850116 


210 


998737 


42,1 


001263 


5 


56 


848979 


211 


849990 


210 


998989 


421 


001011 


4 


57 


849106 


211 


849864 


210 


999242 


421 


000758 


3 


58 


849232 


211 


849738 


210 


999495 


421 


000505 


2 


59 


849359 


211 


849611 


210 


999748 


421 


000253 


1 


60 


849485 


211 


849485 


210 


10.000000 


421 


000000 





1 


Cosine 




Sine j 


Cotang. 




Tang. 1 M. j 



A TRAVERSE TABI^K. 

SHOWING THE DIFF£RSh"CE OP 

liATITUDE AND DEPARTURE 

FOR DISTANCES BETWEEN 1 AND 100, AND FOR ANGLES 
TO QUAHTER DEGREES BETWEEN 1^ ANT< 90*^. 



TRAVERSE TABLE. 



f 

1 


iDeg. 


2 


Deg. 


IE 


^S' 


C 

V.' 

1 


Lat. 


Dep. 
0.00 


Lat. 


Dep. 
0.01 


Lat. 
1.00 


Dep. 
0.01 


1.00 


1.00 


2 


2.00 


0.01 


2.00 


0.02 


2.00 


0.03 


2 


3 


3.00 


0.01 


3.00 


0.03 


3.00 


0.04 


3 


4 


4.00 


0.02 


4.00 


0.03 


4.00 


0.05 


4 


5 


5.00 


0.02 


5.00 


0.04 


5.00 


0.07 


5 


6 


6.00 


0.03 


6.00 


0.05 


6.00 


0.08 


6 


7 


7.00 


0.03 


7.00 


0.06 


7.00 


0.09 


7 


8 


8.00 


0.03 


8.00 


0.07 


8.00 


0.10 


8 


9 


9.00 


0.04 


9.00 


0.08 


9.00 


0.12 


9 


10 
11 


10.00 
11.00 


0.04 
0.05 


10.00 
11.00 


0.09 
0.10 


10.00 
11.00 


0.13 


10 
11 


0.14 


12 


12.00 


0.05 


12.00 


0.10 


12.00 


0.16 


12 


13 


13.00 


0.06 


13.00 


0.11 


13.00 


0.17 


13 


14 


14.00 


0.06 


14.00 


0.12 


14.00 


0.18 


14 


15 


15.00 


0.07 


15.00 


0.13 


15.00 


0.20 


15 


16 


16.00 


0«07 


16.00 


0.14 


16.00 


0.21 


16 


17 


17.00 


0.07 


17.00 


0.15 


17.00 


0.22 


17 


18 


18.00 


0.08 


18.00 


0.16 


18.00 


0.24 


18 


19 


19.00 


0.08 


19.00 


0.17 


19.00 


0.25 


19 


20 1 
21 


20.00 
21.00 


0.09 
0.09 


20.00 
21.00 


0.17 

0.18 


20.00 
21.00 


0.26 


20 
21 


0.27 


22 


22.00 


0.10 


22.00 


0.19 


22.00 


0.29 


22 


23 


23.00 


0.10 


23.00 


0.20 


23.00 


0.30 


23 


24 


24.00 


0.10 


24.00 


0.21 


24.00 


0.31 


24 


25 


2&.00 


' 0.11 


25.00 


0.22 


25.00 


0.33 


25 


26 


26.00 


0.11 


26.00 


0.23 


26.00 


0.34 


26 


27 


27.00 


0.12 


27.00 


0.24 


27.00 


0.35 


27 


28 


28.00 


0.12 


28.09 


0.24 


28.00 


0.37 


28 


29 


29.00 


0.13 


29.00 


0.25 


29.00 


0.38 


29 


30 


30.00 


0.13 


30.00 


0.26 


30.00 


0.39 


30 


31 


31.00 


0.14 


31.00 


0.27 


31.00 


0.41 


31 


32 


32.00 


0.14 


32.00 


0.28 1 


32.00 


0.42 


32 


33 


33.00 


0.14 


33.00 


0.29 1 


33.00 


0.43 


33 


34 


34.00 


0.15 


34.00 


0.30 


34.00 


0.45 


34 


35 


35.00 


0.15 


35.00 


0.31 1 


35.00 


0.46 


35 


36 


36.00 


0.16 


36.00 


0.31 i 


36.00 


0.47 


36 


37 


37.00 


0.16 


37.00 


0.32 


37.00 


0.48 


37 


38 


38.00 


0.17 


38.00 


0.33 ' 


38.00 


0.50 


38 


39 


39.00 


0.17 


39.00 


0.34 


39.00 


0.51 


39 


40 


40.00 


0.17 


40.00 


0.35 


40.00 


0.52 


40 


41 


41.00 


0.18 


41.00 


0.36 


41.00 


0.54 


41 


42 


42.00 


0.18 


42.00 


0.37 


42.00 


0.55 


42 


43 


43.00 


0.19 


43.00 


0.38 


43.00 


0.56 


43 


44 


44.00 


0.19 


44.00 


0.38 


44.00 


0.58 


44 


45 


45.00 


0.20 


45.00 


0.39 


1 45.00 


0.59 


45 


46 


46.00 


0.20 


46.00 


0.40 


46.00 


0.60 


46 


47 


47.00 


0.21 


47.00 


0.41 


47.00 


0.62 


47 


48 


48.00 


0.21 


48.00 


0.42 


i 48.00 


0.63 


48 


49 


49.00 


0.21 


49.00 


0.43 


49.00 


0.64 


49 


50 


50.00 


0.22 


50.00 


0.44 


50.00 


0.65 


50 


§ 

1 

.22 


Dep. 

891 


Lat. 
Deg. 


Dep. 


Lat. 


Dep. 


Lat. 


6 
1 
Q 


89| 


Deg. 


89i 


Deg. 



TRAVERSE TABLE. 



1 

9 
51 


iDeg. 


i 


Deg. 


1 Deg. 


51 


Lat. 


^ep. 


Lat. 


Dep. 
0.45 


Lat. 
51.00 


Dep. 
0.67 


51.00 


0.22 


51.00 


52 


52.00 


0.23 


62.00 


0.45 


52.00 


0.68 


52 


53 


53.00 


0.23 


53.00 


0.46 


53.00 


0.60 


53 


54 


54.00 


0.24 


54.00 


0.47 


54.00 


0.71 


54 


55 


55.00 


0.24 


55.00 


0.48 


55.00 


0.72 


55 


56 


56.00 


0.24 


56.00 


0.49 


56.00 


0.73 


56 


57 


57.00 


0.25 


57.00 


0.50 


57.00 


0.75 


57 


58 


58.00 


0.25 


58.00 


0.51 


57.99 


0.76 


58 


59 


59.00 


0.26 


59.00 


0.51 


58.99 


0.77 


59 


60 


60.00 


0.26 


60.00 


0.52 


59.99 


0.79 


60 


61 


61.00 


0.27 


61.00 


0.53 


60.99 


0.80 


61 


62 


62.00 


0.27 


62.00 


0.54 


61.99 


0.81 


62 


63 


63.00 


0.27 


63.00 


0.5.^ 


62.99 


0.82 


63 


64 


64. ao 


0.28 


64.00 


0.56 


63.99 


0.84 


64 


65 


65.00 


0.28 


65.00 


0.57 


64.99 


0.85 


65 


66 


6f>.00 


. '-■P 


66.00 


0.58 


65.99 


0.86 


66 


67 


67.00 


0.29 


67.00 


0.58 


66.99 


0.88 


67 


68 


68.00 


0.30 


68.00 


0.59 


67.99 


0.89 


68 


69 


69 . 00 


0.30 


69.00 


0.60 


1 68.99 


0.90 


69 


70 
71 


70.00 


0.31 
0.31 


70.00 
71.00 


0.61 
0.62 


69.99 
70.99 


0.92 
0.93 


_70 
71 


71.00 


72 


72.00 


0.31 


72.00 


0.63 


71.99 


0.94 


72 


73 


73.00 


0.32 


73.00 


0.64 


72.99 


0.96 


73 


74 


74.00 


0.32 


74.00 


0.65 


73.99 


0.97 


74 


75 


75.00 


0.33 


75.00 


0.65 


74.99 


0.98 


75 


76 


76.00 


0.33 


76.00 


0.66 


75.99 


0.99 


76 


77 


77.00 


0.34 


77.00 


0.67 


1 76.99 


. 1.01 


77 


78 


78.00 


0.34 


78.00 


0.68 


77.99 


1.02 


78 


79 


79.00 


0.34 


79.00 


0.69 


78.99 


1.03 


79 


80 


80.00 


0.35 


80.00 


0.70 


79.99 


1.05 


80 


81 


81.00 


0.35 


81.00 


0.71 


80.99 


1.06 


81 


82 


82.00 


0.36 


82,00 


0.72 


81.99 


1.07 


82 


83 


83.00 


0.36 


83.00 


0.72 


82.99 


1.09 


83 


64 


84.00 


0.37 


84.00 


0.73 


83.99 


I.IO 


84 


85 


'^S.OO 


* 0.37 


85.00 


0.74 


84.99 


1.11 


85 


86 


86.00 


0.38 


86.00 


0.75 


85.99 


1.13 


86 


87 


87.00 


0.38 


87.00 


0.76 


86.99 


1.14 


87 


88 


88.00 


0.38 


88.00 


0.77 


87.99 


1.15 


88 


89 


8G.00 


0.39 


89.00 


0.78 


88.99 


1.16 


89 


90 


90.00 


0.39 


SO. 00 


0.79 


89.99 


1.18 


90 


91 


91.00 


0.40 


91.00 


0.79 


90.99 


1.19 


9i 


92 


92.00 


0.40 


92.00 


0.80 


5]. 99 


1.20 


S2 


93 


93.00 


0.41 


93.00 


C.81 


?2.99 


■ 1.22 


93 


94 


94.00 


0.41 


94.00 


0.82 


93.99 


1.23 


94 


95 


95.00 


0.41 


95.00 


0.83 


94.99 


1.24 


95 


96 


G^ . 00 


0.42 


96.00 


0.84 


95.99 


1.26 


96 


97 


97.00 


0.42 


97.00 


0.85 


96.99 


1.27 


97 


98 


98.00 


0.43 


98.00 


0.86 


97.99 


1.28« 


98 


99 


99.00 


0.43 


99.00 


0.86 


98.99 


1.30 


99 


100 


100.00 


0.44 


100.00 


0.87 


99.99 


1.31 


100 


1 


Dep. 


Lat. 


Dep. 

89^1 


Lat. 
Deg. 


Dep. 


Lat. 


J 


89 


Deg. 


89' I 


)eg. 



TRAVERSE I'ABLE. 



% 

3 

? 
1 


1 Deg. 


H Deg. 


If Oeg, 


1| Dtig, 


C 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1.00 


0.O2 


1.00 


0.02 


1.00 


0.03 


1.00 


0.03 


1 


2 


2.00 


0.03 


2.00 


0.04 


2.00 


0,05 


2.00 


0.06 


2 


3 


3.00 


0.05 


3.00 


0.07 


3.00 


0.08 


3.00 


0.09 


3 


4 


4.00 


0.07 


4.00 


0.09 


4.00 


0.10 


4.00 


0.12 


4 


6 


5.00 


0.09 


5.00 


0.11 


5.00 


0.13 


5.00 


0.15 


5 


6 


6.00 


0.10 


G.OO 


0.13 


6.00 


0.16 


6.00 


0.18 


6 


7 


7.00 


0.12 


7.00 


0.15 


7.00 


0.18 


7.00 


0.21 


7 


8 


8.00 


0.14 


8.00 


0.17 


8.00 


0.21 


8.00 


0.25 


8 


9 


9.00 


0.16 


9.00 


0.20 


9.00 


0.24 


9.00 


0.28 


9 


10 
11 


10.00 
11.00 


0.17 
07l9 


10.00 


0.22 


10.00 


0.26 


10.00 


0.31 


10 
11 


11.00 


0.24 


11.00 


0.28 


10.99 


0.34 


12 


12.00 


0.21 


12.00 


0.26 


12.00 


0.31 


11.99 


0.37 


12 


13 


13.00 


0.23 


13.00 


0.28 


13.00 


0.34 


12.99 


0.40 


13 


14 


14.00 


0.24 


14.00 


0.31 


14.00 


0.37 


13.99 


0.43 


14 


15 


15.00 


0.26 


15.00 


0.33 


14.99 


0.39 


14.99 


0.46 


15 


16 


16.00 


0.28 


16.00 


0.,35 


15.99 


0.42 


15.99 


0.49 


16 


17 


17.00 


0.30 


17.00 


0.37 


16.99 


0.45 


16.99 


0.52 


17 


18 


18.00 


0.31 


18.00 


0.39 


17.99 


0.47 


17.99 


0.55 


18 


19 


19.00 


0.33 


19.00 


0.41 


18.99 


0.50 


18.99 


0.58 


19 


20 
21 


20.00 


0.35 


20.00 


0.44 


19.99 


0.52 


19.99 


0.61 


20 
21 


21.00 


0.37 


21.00 


0.46 


20.99 


0.55 


20.99 


0.64 


22 


22.00 


0.38 


21.99 


0.48 


21.99 


0.58 


21.99 


0.67 


22 


23 


23.00 


0.40 


22.99 


0.,50 


22.99 


0.60 


22.99 


0.70 


23 


24 


24.00 


0.42 


23.99 


0.52 


23.99 


0.63 


23.99 


0.73 


24 


25 


25.00 


0.44 


24.99 


0.55 


24.99 


0.65 


24.99 


0.76 


25 


26 


26.00 


0.45 


25.99 


0.57 


25.99 


0.68 


25.99 


0.79 


26 


27 


27.00 


0.47 


26.99 


0.59 


26.99 


0.71 


26.99 


0.83 


27 


2^ 


28.00 


0.49 


27.99 


0.61 


27.99 


0.73 


27.99 


0.86 


28 


29.00 


0.51 


28.99 


0.63 


28.99 


0.76 


28.99 


0.89 


29 


30 
"3] 


30.00 


0.52 
0.54 


29.99 


0.65 


29.99 


0.79 


29.99 


0.92 


30 


31.00 


30.99 


0.68 


30.99 


0.81 


30.99 


0.95 


31 


32 


32.00 


0.56 


31.99 


0.70 


31.99 


0.84 


31.99 


0.98 


32 


33 


32.99 


0.58 


32.99 


0.72 


32.99 


0.86 


32.98 


1.01 


33 


34 


33.99 


0.59 


33.99 


0.74 


33.99 


0.89 


33.98 


1.04 


34 


35 


34.99 


0.61 


34.99 


0.76 


34.99 


0.92 


34.98 


1.07 


35 


36 


35.99 


0.63 


35.99 


0.79 


35.99 


0.94 


35.98 


l.iO 


36 


37 


36.99 


0.65 


36.99 


0.81 


36.99 


0.97 


36.98 


1.13 


37 


38 


37.99 


0.66 


37.99 


0.83 


37.99 


0.99 


37.98 


1.16 


38 


39 


38.99 


0.68 


38.99 


0.85 


38.99 


1.02 


38.98 


1.19 


39 


40 
41 


39.99 
40.99 


0.70 
0.72 


39.99 


0.87 


39.99 


1.05 


39.98 


1.22 


40 

41 


40.99 


0.89 


40.99 


1.07 


40.98 


1.25 


42 


41.99 


0.73 


41.99 


0.92 


41.99 


1.10 


41.98 


1.28 


42 


43 


42.99 


0.75 


42.99 


0.94 


42.99 


1.13 


42.98 


1.31 


43 


44 


43.99 


0.77 


43.99 


0.96 


43.99 


1.15 


43.98 


1.34 


44 


45 


44.99 


0.79 


44.99 


0.98 


44.99 


1.18 


44.98 


1.37 


45 


46 


45.99 


0.80 


45.99 


1.00 


45.99 


1.20 


45.98 


1.40 


46 


47 


46^9 
47^99 


0.82 


46.99 


1.03 


46.99 


1.23 


'46.98 


1.44 


47 


48 


0.84 


47.99 


1.05 


47.98 


1.26 


147.98 


1.47 


48 


49 


48.99 


0.86 


48.99 


1.07 


48.98 


1.28 


148.98 


1.50 


49 


50 

0)* 

u 
C 

5 


49.99 
Dep 


0.87 


49.99 


1.09 


49.98 


1.31 


149.98 


1.53 


60 

.1 


Lat. 


i>ep 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


89 


J e.g. 


88J Deg. 


^^ 


Deg 


m Deg. 



TRAVERSE TABLE. 



i" 
"51 


iii 


eg. 


li Deg. 


H Deg. 


11 Deg. 


5 


Lat, 


Dep. 


Lat. 


Dep. 


Lat. 
50.98 


Dep. 


Lat. 


Dep. 


50.99 


0.89 


50.99 


1.11 


1.34 


50.98 


1.56 


"51 


52 


51.99 


0.91 


51.99 


1.13 


51.98 


1.36 


51.98 


1.59 


52 


53 


52.99 


0.92 


52.99 


1.16 


52.98 


1.39 


52.98 


1.62 


63 


54 


53.99 


0.94 


53.99 


1.18 


53.98 


1.41 


53.97 


1.65 


54 


55 


54.99 


0.96 


54.99 


1.20 


54.98 


1.44 


54.97 


1.68 


55 


56 


55.99 


0.98 


,55.99 


1.22 


55.98 


1.47 


55.97 


1.71 


56 


57 


56.99 


0.99 


56.99 


1.24 


56.98 


1.49 


56.97 


1.74 


57 


58 


57.99 


1.01 


57.99 


1.27 


57.98 


1.52 


57.97 


1.77 


58 


59 


58.99 


1.03 


.58.99 


1.29 


58.98 


1.54 


.58.97 


1.80 


59 


60 


59.99 


1.05 


59.99 


1.31 


59.98 


1.57 


59.97 


1.83 


60 


61 


60.99 


1.06 


60.99 


1.33 


60.98 


1.60 


60.97 


1.86 


61 


62 


61.99 


1.08 


61.99 


1.35 


61.98 


1.62 


61.97 


1.89 


62 


63 


62.99 


1 . 10 


62.99 


1.37 


62.98 


1.65 


62.97 


1.92 


63 


64 


63.99 


1.12 


63.98 


1.4C 


63.98 


1.68 


63.97 


1.95 


64 


65 


64.99 


1.13 


64.98 


1.42 


64.98 


1.70 


64.97 


1.99 


65 


66 


65.99 


1.15 


65.98 


1.44 


65.98 


1.73 


65.97 


2.02 


66 


67 


66.99 


1.17 


66.98 


1.46 


66.98 


1.75 


66.97 


2.05 


67 


68 


67.99 


1.19 


67.98 


1.48 


67.98 


1.78 


67.97 


2.08 


68 


69 


68.99 


1.20 


68.98 


1.51 


68.98 


1.81 


66.97 


2.11 


69 


70 
71 


69.99 
70.99 


1.22 


69.98 


1.53 


69.98 


1.83 


69.97 
70.97 


2.14 
2.17 


70 

71 


1.24 


70.98 


1.55 


70.98 


1.86 


72 


71.99 


1.26 


71.98 


1.57| 


71.98 


1.88 


71.97 


2.20 


72 


73 


72.99 


1.27 


72.98 


1.59 1 


72.97 


1.91 


72.97 


2.23 


73 


74 


73.99 


1.29 


73.98 


1.61 


73.97 


1.94 


73.97 


2.26 


74 


75 


74.99 


1.31 


74.98 


1.64 


74.9.7 


1.96 


74.97 


2.29 


75 


76 


75.99 


1.33 


75.98 


1.66 


75.97 


1.99 


75.96 


2.32 


76 


77 


76.99 


1.34 


76.98 


1.68 


76.97 


2.02 


76.96 


2.35 


77 


78 


77.99 


1.36 


77.98 


1.70 


77.97 


2.04 


77.96 


2.38 


78 


79 


78.99 


1.38 


78.98 


1.72 


78.97 


ti.07 


78.96 


2.41 


79 


80 
81 


79.99 
80.99 


1.40 
1.41 


7a. 98 
80.98 


1.75 


79.97 
80.97 


2.09 

2.12 


79.96 


2.44 


80 
81 


1.77 


80.96 


2.47 


82 


81.99 


1.43 


81.98 


1.79 


81.97 


2.15 


81.96 


2.50 


82 


83 


82.99 


1.45 


82.98 


1.81 


82.97 


2.17 


82.96 


2.53 


83 


84 


83.99 


1.47 


83.98 


1.83 


83.97 


2.20 


83.96 


2.57 


84 


85 


84.99 


1.48' 


84.98 


1.85 


84.97 


2.23 


84.96 


2.60 


85 


86 


85.99 


1..50 


85.98 


1.88 


85.97 


2.25 


85.96 


2.63 


86 


87 


86.99 


1.52 


86.98 


1.90 


86.97 


2.28 


86.96 


2.66 


87 


88 


87.99 


1.54 


87.98 


1.92 


87.97 


2.30 


87.96 


2.69 


88 


89 


88.99 


1.55 


88.98 


1.94 


88.97 


2.33 


88.96 


2.72 


89 


90 
91 


89.99 
90.99 


1.57 
1.59 


89.98 


1.96 


89.97 


2.36 


89.96 


2.75 


90 
91 


90.98 


1.99 


90.97 


2.38 


90.96 


2.78 


92 


91.99 


1.61 


91.98 


2.01 


91.97 


2.41 


91.96 


2.81 


92 


93 


92.99 


.1.62 


92.98 


2.03 


92.97 


2.43 


92.96 


2.84 


93 


94 


93.99 


1.64 


93.98 


2.05 


93.97 


2.46 


93.96 


2.87 


94 


95 


94.99 


.1.66 


94.98 


2.07 


94.97 


2.49 


94.96 


2.90 95l 


96 


95.99 


1.68 


95.98 


2.09 


95.97 


2.51 


95.96 


2.94 96f 


97 


96.99 


1.69 


96.98 


2.12 


96.97 


2.54 


96.95 


2.96. 971 


98 


97.99 


1.71 


97.98 


2.14 


97.97 


2.57 


97.95 


2.99 


98 


99 


98.98 


1.73 


98.98 


2.16 


98.97 


2.59 


98.95 


3.02 


99 


100 

.2 

5 


99.98 


1.75 


99.98 
Hep 


2.18 


99.97 


2.62 


99.95 


3.05 


100 



t? 

Q 

1 : 


Dep. 


1 Lat. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


89 Deg. 

1 


88f Deff. 


881 


De^. 


88i Deg. 



TRAVERSE TABLE. 



i 


- Oeg. 


24 Deg. j 


2} Beg. 


21 ©eg. 




Lar 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


3 
P 


1 


1.00 


0.03 


1.00 


0.041 


1.00 


0.04 


1 1.00 


0.05 i 1 1 


2 


2.00 


0.07 


2.00 


0.08 1 


2,00 


0.09 


2.00 


0.10 2 1 


3 


3.00 


0.10 


3.00 


0.12i 


3.00 


0.13 


3.00 


0.14 


3 


4 


4.00 


0.14 


4.00 


0.16! 


4.00 


0.17, 


4.00 


0.19 


4 


5 


5.00 


0.17 


5.00 


0.20: 


5.00 


0.22 


4.99 


0.24 


5 


6 


6.00 


0.21 


6.00 


0.24, 


5.99 


0.26 


5.99 


0.29 i 6 


7 


7.00 


0.24 


6.99 


0.27i! 6.99 


0.31 


6.99 


0.34 7 


8 


7.99 


0.28 


7.99 


0.31 1 


7.99 


0.351 


7.99 


0.38 j 8 


9 


8.99 


0.31 


8.99 


0.35 1 


8.99 


0.39' 


8.99 


0.43! 9 


10 t 9.99 

11 i 10.99 


0.35 


9.99 


0.39 1 


9.99 
10.99 


0.44; 


9.99 


0.48! 10 


0.38 j 


10.99 


0.43 1 


0.48! 


10.99 


0.53 11 


12 1 11.99 


0.42 1 


11.99 


0.47 1 


11.99 


0.52' 11.99 


0.58 


12 


13 ! 12.99 


0.45 


12.99 


0.51 ! 12.99 


0.57 12.99 


0.62 


13 


14! 13.99 


0.49 ;. 13.99 


0.55 1 13.99 


0.61 ! 13.98 


0.67 


14 


15 i 14.99 


0..52 |l 14.99 


0..59 I 14 = 99 


0.65'! 14.98 


0.72 15 


16 15.99 


0.56 |! 15.99 


0.63 15.99 


0.70 I 15.98 


0.77 16 


17U6.99 


0.59 J! 16.99 


0.67 11 16.98 


0.74 ;i 16.98 


0.82 17 


IS i 17.99 


0.63 - 17.99 


0.71 ; 17.98 


0.79;' 17.98 


0.86 i 18 


19 t 18.99 


0.66 • 18.99 


0.75 i 18.98 


0.83 i 18.98 


0.91 ; 19 


20 ! 19.99 

21 20.99 


0.70 1 19.98 


0.79! 


19.98 
20.98 


0.87 
0.92 


! 19.98 


0.96 


20 


0.73 '20.98 


0.82 1 


20.98 


1.01 


21 


22:21.99 


0.77 21.98 


0.86! 21.98 


0.96 21.97 


1.06 




23 i 22.99 


0.80 122.98 


0.90 22.98 


1.00 22.97 


1.10 


23 


24 23.99 


0.84;; 23.98 


0.94 ; 23.98 


1.05 23.97 


1.15 


24 


25 124.98 


O.S7| 


24.98 


0.98 i 24.98 


1.09 


124.97 


1.20 


25 


26 i 25.98 


0.91 i 


25.98 


1.02;! 25.98 


1.13 


25.97 


1.25 


26 


27 126.98 


0.941 


26.98 


1.06 !, 26.97 


1.18 


; 26.97 


1.30 


27 


28 127.98 


0.98 


27.98 


1.10 ;! 27.97 


1.22 


: 27.97 


1.34 


28 


29 128.93 


1.01 


28.98 


1. 14 1! 28.97 


1.26 1128.97 


1.39 


29 


30 129.98 


1.05 


29.98 


1.181 
1.22 


29.97 


l.«l i.i 29.97 


1.44 


30 


31 ! 30.98- 


1.08 


30.98 


30.97 


1.35 j! .30.96 


1.49 


31 


32 131.98 


1.12: 


31.98 


1.26 ■ 31.97 


1.40 1,: 31.96 


1.54 32 


33 132.98 


1.15 1 


32.97 


1.30 ! 32.97 


1.441 32.96 


1..58 33 


34 133.98 


1.19 |! 33.97 


1.33 li 33.97 


1.43 1.33.96 


1 .63 j 34 


35 34.98 


1.22 34.97 


1.37 


34.97 


1..53 134.96 


1.68 ! 35 


36 35.98 


1.26! 35.97 


1.41 


35.97 


1.57 135.96 


1.73 1 36 


37 36.98 


1.29! 36.97 


1.45 


36.96 


1,61 1-36.96 


1.78 


37 


38 137.98 


1.33 37.97 


1.49 


37.96 


1.66 ;37.96 


1.82 


38 


39 38.98 


1.36 .38.97 


1 . .=i3 1' .38 . 96 


1.70 


[38.96 


1.87 


39 


40 
41 


39.98 
40.98 


1.40 1 
1.43 j 


39.97 


1.57 


.39.96 
40.96 


1.75 
1.77 


39.95 


1.92 i 40 1 


40.97 


1.61 


140.95 


1.97 j 41 1 


42 


41.97 


1.47 1141.97 


1.65 1141.96 


1.83 


141.95 


2.02 


42 


43 


42.97 


1.50, 


42.97 


1.69 ii 42.96 
1.73 43.96 


1.88 


142.9^ 


2.06 


43 


44 


43.97 


1..54 


43.97 


1.92 


143.95 


2.11 


44 


45 144.97 


1.57 


44.97 


1.77 : 44.96 
1.81 145.96 


1.96 


! 44.95 


2.16 


4?) 


46 i 45.97 


1.61 


45.96 


2.01 !l 45.95 


2.21 


46 


47 46.97 


1.64 


46,96 


1.85 ! 46.96 


2.05 il 46.95 


2.25 


47 


48 147.97 


1.68 


47.96 


1.88 147.95 


2.09! 47.95 


2.30 


48 


49 ! 48.97 


1.71 


48.96 


1.92 '48.95 


2. 14 11 4«. 94 


2.35 


49 


50 49.97 


1.74 


149.96 


1.96 !| 49.95 


2.18 11 49. 94 


2.40 


50 


§ 


Dep. 


Lat. 


Dep. 

875 


Lat. 

De£r. 


Dep 


Lat. Dep 


• at. 


1 


en 


Deg 


87i 


Deg. ! H7^ 


Desr. 



TRAVERSE TABLE. 



2 


2 Deg. 


2i Deg. 


n 


Deg. 


21 Deg. 


3 
? 

51 


Lat. 


Dep. 


Lat. 


Dep. 


1 

Lat 


L>ep. 


Lat. 


Dep. 


50.97 


1.78 


50.96 


2.00 


50.95 


2.22 


50.94 


2.45 


52 


51.97 


1.81 


51.96 


2.04 


51.95 


2.27 


51.94 


2.50 


52 


53 


52.97 


1.85 


52.96 


2.08 


52.95 


2.31 


52.94 


2.54 


53 


54 


53.97 


1.88 


53.96 


2.12 


53.95 


2.36 


53.94 


2.59 


54 


55 


54.97 


1.92 


54.96 


2.16 


54.95 


2.40 


54.94 


2.64 


55 


56 


55.97 


1.95 


55.96 


2.20 


55.95 


2.44 


55.94 


2.69 


56 


57 


56.97 


1.99 


56.96 


2.24 


56.95 


2.49 


56.93 


2.73 


57 


58 


57.96 


2.02 


57.96 


2.28 


57.94 


2.53 


57.93 


2.78 


58 


59 


58.96 


2.06 


58.95 


2.32 


58.94 


2.57 


58.93 


2.83 


69 


60 
61 


59.98 


2.09 


59.95 


2.36 


59.94 


2.62 


59.93 


2.88 


60 
61 


60.96 


2.13 


60.95 


2.39 


60.94 


2.66 


60.93 


2.93 


62 


61.96 


2.16 


61.95 


2.43 


61.94 


2.70 


61.93 


2.97 


62 


, 63 


62.96 


2.20 


62.95 


2.47 


62.94 


2.75 


62.93 


3.02 


63 


64 


63.96 


2.23 


63.95 


2.51 


63.94 


2.79 


63.93 


3.07 


64 


65 


64.96 


2.27 


64.95 


2.55 


64.94 


2.84 


64.93 


3.12 


65 


66 


65.96 


2.30 


65.95 


2.59 


65.94 


2.88 


65.92 


3.17 


66 


67 


66.96 


2.34 


66.95 


2.63 


66.94 


2.92 


66.92 


3.21 


67 


68 


67.96 


2.37 


67.95 


2.67 


67.94 


2.97 


67.92 


3.26 


68 


69 


68.96 


2.41 


68.95 


2.71 


68.93 


3.01 


68.92 


3.31 


69 


70 
71 


69.96 


2.44 


69.95 


2.75 


69.93 


3.05 


69.92 


3.36 


70 
71 


70.96 


2.48 


70.95 


2.79 


70.93 


3.10 


70.92 


3.41 


72 


71.96 


2.51 


71.94 


2.83 


71.93 


3.14 


71.92 


3.45 


72 


73 


72.96 


2.55 


72.94 


2.87 


72.93 


3.18 


72.92 


3.50 


73 


74 


73.95 


2.58 


73.94 


2.91 


73.93 


3.23 


73.91 


3.55 


74 


75 


74.95 


2.62 


74.94 


2.94 


74.93 


3.27 


74.91 


3.60 


75 


76 


75.95 


2.65 


75.94 


2.98 


75.93 


3.31 


75.91 


3.65 


76 


77 


76.95 


2.69 


76.94 


3.02 


76.93 


3.36 


76.91 


3.70 


77 


78 


77.95 


2.72 


77.94 


3.06 


77.93 


3.40 


77.91 


3.74 


78 


79 


78.95 


2.76 


78.94 


3.10 


78.92 


3.45 


78.91 


3.79 


79 


80 
81 


79.95 


2.79 ' 


79.94 


3.14 


79.92 


3.49 


79.91 


3.84 


80 
81 


80.95 


2.83' 


80.94 


3.18 


80.92 


3.53 


80.91 


3.89 


83 


81.95 


2.86 


81.94 


3.22 


81.92 


3.58 


81.91 


3.93 


82 


83 


82.95 


2.90 


82.94 


3.26 


82.92 


3.62 


82.90 


3.98 


83 


84 


83.95 


2.93 


83.94 


3.30 


83.92 


3.66 


83.90 


4.03 


84 


85 


84.95 


2.97 


§4.93 


3.34 


84.92 


3.71 


84.90 


4.08 


85 


86 


85.95 


3.00 


85.93 


3.. 38 


85.92 


3.75 


85.90 


4.13 


86 


87 


86.95 


3.04 


86.93 


3.42 


86.92 


3.79 


86.90 


4.17 


87 


88 


87.95 


3.07 


87.93 


3.45 


87.92 


3.84 


87.90 


4.22 


88 


89 


88.95 


3.11 


88.93 


3.49 


88.92 


3.88 


88.90 


4.27 


89 


90 
91 


89.95 


3.14 


89.93 


3.. 53 


89.91 


3.93 


89.90 


4.32 


90 
91 


90.95 


3.18 


90.93 


3.57 


90.91 


3.97 


90.90 


4.37 


92 


91.94 


3.21 


91.93 


3.61 


91.91 


4.01 


91.89 


4.41 


92 


93 


92.94 


3.25 


92.93 


3.65 


92.91 


4.06 


92.89 


4.46 


93 


94 


93.94 


3.28 


93.93 


3.69 


93.91 


4.10 


93.89 


4.51 


94 


95 


94.94 


3.32 


94.93 


3.73 


94.91 


4.14 


94.89 


4.56 


95 


96 


95.94 


3.35 


95.93 


3.77 


95.91 


4.19 


95.89 


4.61 


96 


97 


96.94 


3.39 


96.93 


3.81 


96.91 


4.23 


96.89 


4.65 


97 


98 


97.94 


3.42 


97.92 


3.85 


97.91 


4.27 


97.89 


4.70 


98 


99 


98.94 


3.46 


98.92 


3.89 


98.91 


4.32 


98.89 


4.75 


99 


100 

c 

5 


99.94 


3.49 


99.92 


3.93 


99.91 


4.36 


99.88 


4.80 


100 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


88 Deg. 


87| Deg. 


871 


Deg. 


874 


Deg. 



TRAVERSE TAELE. 



i 

1 


3Deg. 


3iJ 


Deg. , 


3|De,. 


31 Deg. 




i 

1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1.00 


0.05 


1.00 


0.06 


1.00 


0.06 


1.00 


0.06 


2 


2.00 


0.10 


2.00 


0.11 


3.00 


0.12 


2.00 


0.13 


2 


3 


3.00 


0.16 


3.00 


0.17 


2.99 


0.18 


2.99 


0.20 


3 


4 


3.99 


0.21 


3.99 


0.23 


3.99 


0.24 


3.99 


0.26 


4 


5 


4.99 


0.26 


4.99 


0.38 


4.99 


0.31 


4.99 


0.33 


5 


6 


5.99 


0.31 


5.99 


0.34 


5.99 


0.37 


5.99 


0.39 


6 


7 


6.99 


0.37 


6.99 


0.40 


6.99 


0.43 


6.99 


0.46 


7 


8 


7.99 


0.42 


7.99 


0.45 


7.99 


0.49 


7.98 


0.52 


8 


9 


8.99 


0.47 


8.99 


0.51 


8.98 


0.55 


8.98 


0..59 


9 


10 


9.99 


0.52 


9.98 


0.57 


9.98 


0.61 


9.98 


0.65 


10 
11 


11 


10.98 


0..58 j 


10.98 


0.63 


10.98 


0.67 


10.98 


0.72 


13 


11.98 


0.63! 


11.98 


0.68 


11.98 


0.73! 


11.97 


0.78 


12 


13 


12.98 


0.68 j 


12.98 


0.73 


12.98 


0.79 


12.97 


0.85 


P 
14 


14 


13.98 


0.73 


13.98 


0.79 


13.97 


0.85) 


13.97 


0.92 


15 


14.98 


0.79' 


14.93 


0.85 


14.97 


0.92, 


14.97 


0.98 


15 


16 i 15.98 


0.841 


15.97 


0.91 


15.97 


0.98 


15.97 


1.05 


16 


17 i 16. 9S 


0.89 1 


16.97 


0.96 


16.97 


1.04 


16.96 


1.11 


17 


is! 17.98 


0.94! 


17.97 


1.02 


17.97 


1.10 


17.96 


1.18 


18 


19 i 18.98 


0.99! 


18.97 


1.08 


18.96 


1.16 


18.96 


1.24 


19 


20 


19.97 


1.05 


19.97 


1.13_ 


19.96 


1.22 


19.96 


1.31 


20 
21 


21 


20.97 


1.10 


20.97 


1.19 


20.96 


1.28 1 


20.96 


1.37 


22 1 21.97 


1.15 : 


21.96 


1.35 


21.96 


1.34 


21.95 


1.44 


22 


28 1 22.97 


1.20, 


23.96 


1.30 


22.96 


1.40 


22.95 


1.50 


23 


24 1 23.97 


1.23 


33.98 


1.38 


23.96 


1.47 


23.95 


1.57 


24 


25 1 24.97 


1.31 


34.96 


1.43 


24.95 


1.53 


24.95 


1.64 


25 


26! 25.96 


1.36 


25.96 


1.47 


25.95 


1.59 


25.94 


1.70 


26 


27 26.96 


1.41 


26.96 


1.53 


26.95 


1.65 


26.94 


1.77 


27 


28) 27.96 


1.47 


27.95 


1.59 137.95 


1.71 ! 


27.94 


1.83 


28 


29 ; 28.93 


1.52 


28.95 


1.64 ,38.95 


1.77: 


28.94 


1.90 


29 


30 


29.96 


1..57 


29.95 


1.70 39.94 


1.83 


29.94 


1.96 


30 

31 


31 


30.96 


1.62! 


30.95 


1.76 30.94 


1.89 


30.93 


2.03 


32 


31.98 


1.67; 


31.95 


1.81 31.94 


1.95 


31.93 


2.09 


32 


33 


33.95 


1.73; 


32.95 


1.87 133.94 


2.01 


32.93 


2.16 


33 


34 


33.95 


1.78: 


33.95 


1.93 33.94 


2.08! 


33.93 


2.22 


34 


35 


34.95 


1.83: 


34.94 


1.98 134.93 


2.14; 


34.93 


2.29 


35 


36 


35.95 


1.8S 


35.94 


3.04 135.93 


2.20: 


35.92 


2.35 


36 


37 


36.95 


1.9i 


36.94 


2.10 136.93 


2.26 ! 


36.92 


2.42 


37 


33 


37.95 


1.99 


37.94 


2.15 137.93 


3.33 


37.92 


2.49 


38 


39 


38.95 


2.04 


33.94 


2.21 138.93 


2.38 


38.92 


2.55 


39 


40 


39.95 


2.09 


39 . 94 


2.27 
2.32 


39.93 


2.44 


39.91 


2.62 


40 
41 


41 


40.94 


2.15.1 


40.93 


40.92 


2.50 


40.91 


2.68 


42 i 41 . 94 


2.20 


41.93 


2.38 141.92 


2.56 


41.91 


2.75 


42 


43 42.94 


2.25 


42.93 


2.44:142.92 


2.63 


42.91 


2.81 


43 


44 i 43.94 


2.30 


43.93 


2.49 143.92 


2.69 


43.91 


2.88 


44 


45! 44.94 


2.36 


44.93 


2.55 144.92 


2.75 


44.90 


2.94 


45 


46 1 45 . 94 


2.41 


45.93 


2.61 145.91 


2.81 


45.90 


3.01 


46 


47:46.94 


2.46 


46.92 


2.68,146.91 


2.87, 


46.90 


3.07 


47 


43 i 47.93 


2.51 


47.92 


2.73 147.91 


2.93 


47.90 


3.14 


48 


49 148.93 


3.. 56 


48.92 


3. 78 ii 48.91 


2.99 


48.90 


3.20 


49 


_50 


49.93 


2.63 
Lat. 


49.92 


3.83 49.91 


3.05 


49.89 


3.27 


50 

1 

.5 


d 
o 


Dep. 


Dep. 


Lat. 

I 


Dep. 


Lat. 


Dep. 


Lat. 


87 1 


)eg. 


861 


Deg. 


86^ 


Deg. 


86^ 


Deg. 



:<.^^m^mm^ 



TRAVERSE TABLE. 



OS 

i 

51 


3Deg. 


3i Deg. 


^ 


Deg. 


3| Deg. 


3 
? 

51 


Lat. 


Dep. 


Lat. 
50.92 


Dep. 


Lat 


Dep. 


Lat. 


Dep. 


50.93 


2.67 


2.89 


50.90 


3.11 


50.89 


3.34 


52 


51.93 


3.72 ! 51.92 


2.95 


51.90 


3.17 


51.89 


3.40 


52 


53 


52.93 


2.77 52.91 


3.00 


52.90 


3.24 


52.89 


3.47 


53 


54 


53.93 


2.83 ; 53.91 


3.06 


53.90 


3.30 


53.88 


3.53 


54 


65 


54.92 


2.88 i 54.91 
2.93 ,55.9 


3.12 


54.90 


3.36 


54.88 


3.60 


55 


56 


55.92 


3.17 


55.90 


3.42 


55.88 


3.66 


56 


57 


56.92 


2.98 ,56.91 


3.23 


156.89 


3.48 


56.88 


3 73 


57 


58 


57.92 


3.04 157.91 


3.29 


157.89 


3.54 


57.88 


3.79 


68 


59 


58.92 


3.09 i 58.91 


3.34 


58.89 


3.60 


58.87 


3.86 


59 


60 


59.92 


3.14 ii 59.90 


3.40 


59.89 


3.66 


59.87 


3,92 


60 


61 


60.92 


3.19 ;! 60.90 


3.46 


60.89 


3.72 


60.87 


3.99 


6] 


62 


61.92 


3.24 1161.90 


3.51 


61.88 


3.79 


61.87 


4.05 


62 


63 


62.91 


3.30 62.90 


3.57 


62.88 


3.85 


62.87 


4.12 


63 


64 


63.91 


3.35 63.90 


3.63 


63.88 


3.91 


63.86 


4.19 


64 


65 


64.91 


3.40 164.90 


3.69 


64.88 


3.97 


64.86 


4.25 


65 


66 


65.91 


3.45 165.89 


3.74 


65.88 


4.03 


65.86 


4.32 


66 


67 


66.91 


3.51 


66.89 


3.80 


66.88 


4 09 


66.86 


4.38 


67 


68 


67.91 


3.56 


67.89 


3.86 


,67.87 


4.15 


67.85 


4.45 


68 


69 


68.91 


3.61 


68.89 


3.91 


68.87 


4.21 


68.85 


4.51 


69 


70 

71 


69.90 


3.66 


69.89 


3.97 


69.87 


4 27 
4.33 


69.85 


4.58 


70 
Tl 


70.90 


3.72 


70.89 


4.03 


70.87 


70.85 


4.64 


72 


71.90 


3.77 '71.88 


4.08 


171.8? 


4.40 


71.85 


4.71 


72 


73 


72.90 


3.82 72.88 


4.14 


72.86 


4.46 


72.84 


4.77 


73 


74 


73.90 


3.87,. 73.88 


4.20 


73.86 


4.52 


73.84 


4.84 


74 


75 


74.90 


3.93 


74.88 


4.25 


74.86 


4.58 


74.84 


4.91 


75 


76 


75.90 


3.98 


75.88 


4.31 


75 86 


4.64 


75.84 


4-97 


76 


77 


76.89 


4.03 


76.88 


4.37 


76.86 


4.70 


176.84 


5.04 


77 


78 


77.89 


4.08 


77.87 


4.42 


77.85 


4.76 


1 77.83 


5.10 


78 


79 


78.89 


4.13 


78.87 


4.48 


78.85 


4.82 


i 78.83 


5.17 


79 


80 
81 


79.89 


4.19 


79.87 


4.54 


79.85 


4.88 


179.83 


5.23 


80 
81 


80.89 


4.24 


80.87 


4.59 


80.85 


4.94 


1 80.83 


5.30 


82 


81.89 


4.29 


81.87 


4.65 


81.85 


5.01 


81.82 


5.36 


82 


83 


82.89 


4.34 


82.87 


4.71 


82.85 


5.07 


82.82 


5.43 


83 


84 


83.88 


4.40 


83.86 


4 76 


83.84 


5.13 


183.82 


5.49 


84 


85 


84.88 


4.45 


84.86 


4.82 


84.84 


5.19 


184.82 


5.56 


■85 


86 


85.88 


4.50 


85.86 


4 88 


85.84 


5.25 


185.82 


5.62 


86 


87 


86.88 


4.55 


86.86 


4.93 


§£.84 
^.84 


5.31 


i 86.81 


5.69 


87 


88 


87.88 


4.61 


87.86 


4.99 


5.37 


87.81 


5.76 


88 


89 


88.88 


4.66 


88.86, 


5.05 


88.83 


5.43 


188.81 


5.82 


89 


90 
91 


89.88 


4.71 


89.86 


5.10 
5.16 


89.83 


5.49 


189.81 


5.89 


90 
91 


90.88 


4.76 


90.85 


90.83 


5.56 


90.81 


5.95 


92 


91.87 


4.81 


91.85 


5.22 


91.83 


5.62 


91.80 


6.02 


92 


93 


92.87 


4.87 


92.85 


5.27 


92.83 


5.68 


92.80 


6.08 


93 


94 


93.87 


4.92 


93.85 


5.33 


93.82 


5.74 


93.80 


6.15 


94 


95 


94.87 


4.97 


94.85 


5.39 


94.82 


5.80 


94.80 


6.21 


95 


96 


95.87 


5.02 


95.85 


5.44 


95.82 


5.86 


95.79 


6.28 


96 


97 


96.87 


5.08 


96.84 


5.50 


96.82 


5.92 


96.79 


6.34 


97 


98 


97.87 


5.13 


97.84 


5.56 


97.82 


5.98 


97.79 


6.41 


98 


99 


98.86 


5.18 


98.84 


5.61 


98.82 


6.04 


98.79 


6.47 


99 


100 


99.86 


5.23 


99.84 


5.67 


99.81 


6.10 


99.79 


6.54 


100 

.5' 
Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat, 


Dep. 


Lat. 


87 r 


)eg. 


861 ] 


Deg. 


66^3 


Deg". 


86^ Deg. 



10 



TEAVEHSE TABLE. 



1 

~1 


4 Deg. 


4iDeg. [ 

! 


4^ Deg. 1 

li 


4t Deg. 
Lat. Dep. 


C 
1 


Lat. 


Dep. 


Lat. 


Dep. 1 


Lat. 

1.00 


Dep. 1 


1.00 


0.07 


1.00 


0.07 


0.08 


1.00 


0.08 


2 


2.00 


0.14 


1.99 


0.15 


1.99 


0.16 


1.99 


0.17 


2 


3 


2.99 


0.21 


2.99 


0.22 1 


2.99 


0.24 


2.99 


0.25 


3 


4 


3.99 


0.28 


3.99 


0.30 


3.99 


0.31 I 


3. 98 


0.33 


4 


5 


4.99 


0.35 


4.99 


0.37 


4.98 


0.39 1 


4.98 


0.41 


5 


6l 


5.99 0.42 11 


5.98 


0.44 


5.98 


0.471 


5 . 98 


0.50 


6 


7 


6.98 


0.49 


6.98 


0.52 


6.98 


0.55 


6.97 


0.58 


7 


8 


7,98 


0.56 


7.98 


0.59 


7.98 


0.63 1 


7.97 


0.66 


8 


9 


8.98 


0;63 


8.98 


0.67 


8.97 


0.71 


8.97 


0.75 


9 


10 1 

11 


9.98 0.70 


9.97 


0.74 


9.97 


0.78 


9.97 


0.83 


10 
11 


10.97 i 0.77 


10.97 


0.82 


10.97 


0.86 


10.96 1 


0.91 


12 


11.97 


0.84 


11.97 


0.89 


11.96 


0.94 


11.96 


0.99 


12 


13 


12.97 


0.91 


12.96 


0.96 


12.96 


1.02 


12.96 1 


1.08 


13 


14 


13.97 


0.98 


13.96 


1.04 


13.96 


1.10 


13.95 1 


1.16 


14 


15 


14.96 


1.05 


14.96 


1.11 


14.95 


1.18 


14.95 


1.24 


15 


16 


15.96 


1.12 


15.96 


1.19 


15.95 


1.26 


15.95 


1.32 


16 


17 


16.96 


1.19 


16.95 


1.26 


16.95 


1.33 1 


16.94 


1.41 


17 


18 


17.96 


1.26 


17.95 


1.33 


17.94 


1.41 


17.94 


1.49 


18 


19 


18.95 


1.33 


18.95 


1.40 


18.94 


1.49 


18.93 


1.57 


19 


20 

21 


19.95 


1.40 


19.95 


1.48! 


:.94 

:. .94 


1.57 


19.93 


1.66 


20 

21 


20.95 


1.46 


20.94 


1.56 


1.65 


20.93 


1.74 


22 


21.95 


1.53 


21.94 


1.63 


21.93 


1.73 


21.92 


1.82 


22 


23 


22.94 


1.60 


22.94 


1.70 


22.93 


1.80 


22.92 


1.90 


23 


24 


23.94 


1.67 


23.93 


1.78 


23.93 


1.88 


23.92 


1.99 


24 


25 


24.94 


1.74 


24.93 


1.85 


24.92 


1.96 


24.91 


2.07 


25 


26 


25.94 


1.81 


25.93 


1.93 


25.92 


2.04 


25.91 


2.15 


26 


27 


26.93 


1.88 


26.93 


2.00 


26.92 


2.12 


26.91 


2.24 


27 


28 


27.93 


1.95 


27.92 


2.08 


27.91 


2.20 1 


27.90 


2.32 


28 


29 


28.93 


2.02 


28.92 


2.15 


28.91 


2.28 


28.90 


2.40 


29 


30 
31 


29.93 1 2.09 


29.92 


2.22 


29.91 


2.35 


29.90 


2.48 


30 
31 


30.92 


2.16 


30.91 


2.30 


30.90 


2.43 


."0.89 


2.57 


32 


31.92 


2.23 


31.91 


2.37 


31.90 


2.51 


31.89 


2.65 


32 


33 32.92 


2.30 


32.91 


2.45 


32.90 


2.59 


32.89 


2.73 


33 


34 133.92 


2.37 


33.91 


2.52 


33.90 


2.67 


33.88 


2.82 


34 


35 134.91 


2.44 


34.90 


2.59 


34.89 


2.75 


34.88 


2.90 


•35 


36 135.91 


2.51 


35.90 


2.67 


35.89 


2.82 


35.88 


2.98 


36 


37 ,36.91 


2.58 


36.90 


2.74 


36.89 


2.90 


36.87 


3.06 


37 


38 1 37.91! 2.65 


37.90 


%.82 


37.88 


2.98 


37.87 


3.15 


38 


39 138.90 I 2.72 


38.89 


2.89 


38.88 


3.06 


38.87 


3.23 


39 


40 139.90; 2.79 


39.89 


2.96 


39.88 


3.14 


39.86 


3.31 


40 


41 i 40.90 1 2.86 


40.89 


3.04 


40.87 


3.22 


40.86 


3.40 


41 


42 141.90 2.93 


41.88 


3.11 


41.87 


3.30 


41.86 


3.48 


42 


43 '42.901 3.00 


42.88 


3.19 


42.87 


3.37 


42.85 


3.56 


43 


44 143.89' 3.07 


43.88 


3.26 


43.86 


3.45 


43.85 


3.64 


44 


45 


.44.89: 3.14 


44.88 


3.33 


44.86 


3.53 


44.85 


3.73 


45 


46 


145.89' 3.21 


45.87 


3.41 


45.86 


3.61 


45.84 


3.81 


46 


47 


146.89, 3.28 


46.87 


3.48 


46.86 


3.69 


46.84 


3.89 


47 


48 


147.88 


! 3.35 


47.87 


3.56 


47.85 


3.77 


47.84 


3.97 


48 


49 


148.88 


8.42 


48.87 


3.63 


48.85 


3.84 


48.83 


4.06 


49 


_50 

© 

1 


1 49.88 


3.49 


49.86 


3.71 


49.85 


3.92 


49.83 


4.14 


50 

i 

1 

.2 



Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


, Lat. 


Dep. 


Lat. 


86 Deg. 


1 85J Deg. 

11 


851 


Deg. 


85i Deg. 



TKAVEKSE TABLE. 



11 



P 

51 


4 


Deg. 


4i Deg. 


4i Deg. 


4| Deg. 


"51 


Lat. 


Dep. 


Lat. 
50.86 


Dep. 


! 

Lat. 


Dep. 


Lat, 


Dep. 


50.88 


3.56 


3,78 


50.84 


4.00 


50.82 


4.22 


52 


51.87 


3.63 


51.86 


3,85 


51,84 


4.08 


51,82 


4.31 


52 


53 


52.87 


3.70 


52.85 


3,93 


52,84 


4.16 


52.82 


4.39 


53 


54 


53.87 


3.77 


53.85 


4.00 


53,83 


4.24 


53.81 


4.47 


64 


55 


54.87 


3.84 


54.85 


4.08 


54,83 


4.32 


54.81 


4.55 


55 


56 


55.86 


3,91 


55.85 


4.15 


55,83 


4.39 


55.81 


4.64 


56: 


57 


56.86 


3.98 


56.84 


4.22 


56.82 


4.47 


56.80 


4.72 


67 


58 


57.86 


4.05 


57.84 


4.30 


57.82 


4,55 


57.80 


4.80 


58 


59 


'58.86 


4.12 


58.84 


4.37 


58.82 


4.63 


58.80 


4.89 


59 


60 
61 


59.85 


4.19 


59.84 


4.45 


59.82 


4,71 


59.79 


4.97 


6o; 

61 


60.85 


4.26 


60.83 


4.52 


60.81 


4,79 


60,79 


5.05 


62 


61.85 


4.32 


61.83 


4.59 


61.81 


4,86 


61.79 


5.13 


62; 


63 


62.85 


4.39 


62.83 


4.67 


62.81 


4.94 


62.78 


5.22 


63i 


64 


63.84 


4.46 


63.82 


4.74 


63.80 


5.02 


63.78 


5.30 


64j 


65 


64.84 


4.53 


64.82 


4.82 


64.80 


5.10 


64.78 


5.38 


65i 


66 


65.84 


4.60 


65.82 


4.89 


65.80 


5.18 


65.77 


5.47 


66: 


67 


66.84 


4.67 


66.82 


4.97 


66.79 


5.26 


66.77 


5.55 


67 


68 


67.83 


4.74 


67.81 


5.04 


67,79 


5.34 


67.77 


5.63 


68 


69 


68.83 


4.81 


68.81 


5.11 


68,79 


5.41 


68.76 


5.71 


69 


70 

71 


69.83 


4.88 


69.81 


5.19 


69,78 


5,49 


69.76 


5.80 


70 
7L 


70.83 


4.95 


70.80 


5.26 


70.78 


5.57 


70.76 


5.88 


72 


71.82 


5.02 


71.80 


5.34 


71,78 


5.65 


71.75 


6.96 


72 


73 


72.82 


5.09 


72.80 


5.41 


72.77 


5.73 


72.75 


6.04 


73 


74 


73.82 


5.16 


73.80 


5.48 


73,77 


5,81 


73.75 


6.13 


74i 


75 


74.82 


5.23 


74.79 


5.56 


74,77 


5.88 


74.74 


6.21 


76; 


76 


75.81 


6.30 


75.79 


5.63 


75,77 


5.96 


75.74 


6.29 


76; 


77 


76.81 


5.37 


76.79 


5.71 


76,76 


6.04 


76.74 


6.38 


77; 


78 


77.81 


5.44 


77.79 


5.78 


77.76 


6.12 


77.73 


6.46 


78 


79 


78.81 


5.51 


78.78 


5.85 


78.76 


6.20 


78.73 


6.54 


79 


80 
81 


79.81 


5.58 


79.78 


5.93 


79.75 


6.28 


79.73 


6.62 


8OI 

81^; 


80.80 


5.65 


80.78 


6.00 


80.75 


6.36 


80.72 


6.71 


82 


81.80 


5,72 


81.78 


6.08 


81.75 


6,43 


81.72 


6.79 


82 


83 


82.80 


5,79 


82.77 


6.15 


82.74 


6.51 


82.71 


6.87 


83' 


84 


83.80 


5.86 


83.77 


6.23 


83.74 


6.59 


83.71 


6.96 


84 


85 


84.79 


5.93 


84.77 


6.30 


84.74 


6.67 


84.71 


7.04 


85 


86 


85.79 


6.00 


85.76 


6.37 


85.73 


6.75 


85.70 


7.12 


86 


87 


86.79 


6.07 


86.76 


6.45 


86.73 


6.83 


80.70 


7.20 


87. 


88 


87.79 


6.14 


87.76 


6.52 


87.73 


6.90 


87.70 


7.29 


88 


89 


88.78 


6.21 


88.76 


6.60 


88,73 


6.98 


88.70 


7.37 


89 


90 

91 


89.78 


6.28 


89.75 
90.75 


6.67 


89,72 


7.06 


89.69 


7.45 


90 
91 


90.78 


6.35 


6.74 


90.72 


7.14 


90.69 


7.54 


92 


91.78 


6.42 


91.75 


6.82 


91.72 


7.22 


91.68 


7.62 


92 


93 


92.77 


6,49 


92.74 


6.89 


92.71 


7.30 


92.68 


7.70 


93: 


94 


93,77 


6.56 


93.74 


6.97 


93.71 


7.38 


93.68 


7.78 


94 


95 


94.77 


6.63 


94.74 


7.04 


94.71 


7.45 


94.67 


7.87 


95 


96 


95.77 


6.70 


95.74 


7.11 


95.70 


7.53 


95.67 


7.96 


96 


97 


96.76 


6.77 


96,73 


7.19 


96.70 


7.61 


96.67 


8.03 


97 


98 


97.76 


6.84 


97.73 


7.26 


97.70 


7.69 


97.66 


8.12 


98 


99 


98.76 


6.91 


98.73 


7.34 


98.69 


7.77 


98.66 


8.20 


99 


100 

i 
1 


99.76 


6.98 


99.73 


7.41 


99.69 


7.85 


99.66 


8.28 


100 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep, 


Lat. 


c ■ 


861 


)eg. 


851 ] 


>eg. 


85^ Deg. j 


- 
85i Deg. 


.2 
Q 



12 



TRAVERSE TABLE, 



u - 

s 
§, 
1 


5Deg. 


5i D 


1 
eg. 


5| Deg. 

1 


5J Deg. 


5 

3 
o 

re 


Lat. 1 


Dep. 
0.09 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1.00 


1.00 


0.09 


1.00 


0.10 


0.99 


0.10 


1 


2 


1.99 0.17 


1.99 


0.18 


1.99 


0.19 


1.99 


0.20 


2 


3 


2.99 0.26 


2.99 


0.27 


2.99 


0.29 


2.98 


0.30 


3 


4 


3.98 


0.35 


3.98 


0.37 


3.98 


0.38 


3.98 


0.40 


4 


5 


4.98 


0.44 


4.98 


0.46 


4.98 


0.48 


4.97 


0.50 


5 


6 


5.98 


0.52 


5.97 


0.55 


5.97 


0.58 


5.97 


0.60 


6 


7 


6.97 


0.61 


0.97 


0.64 


6.97 


0.67 


6.96 


0.70 


7 


8 


7.97 


0.70 


7.97 


0.73 


7.96 


0.76 


7.96 


0.80 


8 


9 


8.97 


0.78 


8.96 


0.82 


8 96 


0.86 


8.95 


0.90 


9 


12_ 
11 


9.96 


0.87 


9.96 


0.92 


9.95 


0.96 


9.95 


1.00 


10 
11 


10.96 


0.96 


10.95 


1.01 


10.95 


1.05 


10.94 


1.10 


12 


11.95 


1.05 


11.95 


1.10 


11.94 


1.15 


11.94 


1.20 


12 


13 


12.95 


1.13 


12.95 


1.19 


12.94 


1.25 


12.93 


1.30 


13 


14 


13.95 


1.22 


13.94 


1.28 


13.94 


1.34 


13.93 


1.40 


14 


15 


14.94 


1.31 


14.94 


1.37 


14.93 


1.44 


14.92 


1.50 


15 


16 


15.94 


1.39 


15.93 


1.46 


15.93 


1.53 


15.92 


1.60 


16 


17 


16.94 


1.48 


16.93 


1.56 


16.92 


1.63 


16.91 


1.70 


17 


IS 


17.93 


1.57 


17.92 


1.65 


17.92 


1.73 


17.91 


1.80 


18 


19 


18.93 


1.66 


18.92 


1.74 


18.91 


1.82 1 


18.90 1.90] 


19 


20 
21 


19.92 


1.74 


19.93 


1.83 


19.91 


1.92 


19.90 


2.00 


20 


20.92 


1.83 


20.91 


1.92 


20.90 


2.01 


20.89 


2.10 


21 


22 


21.92 


1.92i 


21.91 


2.01 


21.90 


2.11 


21.89 


2.20 


22 


23 


22.91 


2.00 


22.90 


2.10 


22.89 


2.20 


22.88 


2.30 


23 


24 


23.91 


2.09 


23.90 


2.20 


23.89 


2.30 


23.88 


2.40 


24 


25 


24.90 


2.18 


24.90 


2.29 


24.88 


2.40 


24.87 


2.50 


25 


26 


25.90 


2.27 


25.89 


2.38 


25.88 


2.49 


25.87 


2.60 


26 


27 


26.90 


2.35 


26.89 


2.47 


26.88 


2.59 


26.86 


2.71 


27 


28 


27.89 


2.44 


27.88 


2.56 


27.87 


2.68 


27.86 


2.81 


28 


29 


28.89 


2.53 


28.88 


2.65 


28.87 


2.78 


28.85 


2.91 


29 


30 
31 


29.89 


2.61 


29.87 


2.75 

2.84 


29.86 


2.88 


29.85 


3.01 


30 


30.88 


2.70 


30.87 


30.86 


2.97 


30.84 


3.11 


31 


32 


31.88 


2.79 


31.87 


2.93 


31.85 


3.07 


31.84 


3.21 


32 


33 


32.87 


2.88 


32.86 


3.02 


32.85 


3.16 


32.83 


3.31 


33 


^ 34 


33.87 


2.96 


33.86 


3.11 


33.84 


3.26 


33.83 


3.41 


34 


35 


34.87 


3.05 


34.85 


3.20 


34.84 


3.35 


34.82 


3.51 


35 


'36 


35.86 


3.14 


35.85 


3.29 


35.83 


3.45 


35.82 


3.61 


36 


■ 37 


36.86 


3.22 


36.84 


3.39 


36.83 


3.55 


36.81 


3.71 


37 


\ 38 


37.86 


3.31 


37.84 


3.48 


37.83 


3.64 


37.81 


3.81 


38 


39 


38.85 


3.40 


38.84 


3.57 


38.82 


3.74 


38.80 


3.91 


39 


,40 
41 


39.85 


3.49 


39.83 


3.66 


39.82 


3.83 


39.80 


4.01 


40 
41 


40.84 


3.57 


40.83 


3.75 


40.81 


3.93 


40.79 


4.11 


: 42 


41.84 


3.66 


41.82 


3.84 


41.81 


4.03 


41.79 


4.21 


42 


43 


42.84 


3.75 


42.82 


3.93 


42.80 


4.12 


42.78 


4.31 


43 


44 


43.83 


3.83 


43.82 


4.03 


43.80 


4.22 


43.78 


4.41 


44 


45 


44.83 


3.92 


44.81 


4.12 


44.79 


4.31 


44.77 


4.51 


45 


46 


45.82 


4.01 


45.81 


4.21 


45.79 


4.41 


45.77 


4.61 


46 


47 


46.82 


4.10 


146.80 


4.30 


46.78 


4.50 


46.76 


4.71 


47 


48 


47.82 


4.18 


47.80 


4.39 


47.78 


4.60 


47.76 


4.81 


48 


49 


48.81 


4.27 


48.79 


4.48 


48.77 


4.70 


48.75 


4.91 


49 


50 


49.81 


4.36 


49.79 


4.58 


49.77 


4.79 


49.75 


5.01 


50 


Deli. \ Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


i 


85Deg. 


841 Deg. 


841 Deg. 


844 Deg. 


.a 



TRAVERSE TABLE. 



IS 



a 

51 


5Deg. 


5i Deg. 


. 


Deg. 


51 Deg. 


O 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




50.81 


4,44 


50.79 


4.67 


50.77 


4.89 


60.74 


6.11 


"ti 




52 


51.80 


4.53 


51.78 


4.76 


61.76 


4.98 


61.74 


5.21 


52 




53 


52.80 


4.62 


52.78 


4.85 


52.76 


5.08 


52.73 


6.31 


53 




54 


53.79 


4.71 


53.77 


4.94 


53.75 


5.18 


63.73 


6.41 


54 




55 


54.79 


4.79 


54.77 


5.03 


64.76 


5.27 


54.72 


5.51 


55 




56 


55.79 


4.88 


55.77 


5.12 


55.74 


6.37 


55.72 


6.61 


66 




57 


56.78 


4.97 


56.76 


5.22 


66.74 


6.46 


56.71 


5.71 


57 




58 


57.78 


5.06 


57.76 


5.31 


57.73 


5.66 


67.71 


5.81 


58 




59 


58.78 


5.14 


58.75 


5.40 


58.73 


6.66 


58.70 


6.91 


59 




60 
61 


59.77 


5.23 


59.76 


5.49 


59.72 


5.75 


69.70 


6.01 


60 




60.77 


5.32 


60.74 


6.58 


60.72 


5.85 


60.69 


6.11 


61 




62 


61.76 


5.40 


61.74 


5.67 


61.71 


5.94 


61.69 


6.21 


62 




63 


62.76 


6.49 


62.74 


5.76 


62.71 


6.04 


62.68 


6.31 


63 




64 


63.76 


5.58 


63.73 


5.86 


63.71 


6.13 


63.68 


6.41 


64 




65 


64.75 


5.67 


64.73 


5.95 


64.70 


6.23 


64.67 


6.51 


65 




66 


65.75 


5.75 


65.72 


6.04 


66.70 


6.33 


65.67 


6.61 


66 




67 


66.75 


5.84 


66.72 


6.13 


66.69 


6.42 


66.66 


6.71 


67 




68 


67.74 


5.93 


67.71 


6.22 


67.69 


6.62 


67.66 


6.81 


68 




69 


68.74 


6.01 


68.71 


6.31 


68.68 


6.61 


68.65 


6.91 


69 




70 
71 


69.73 
70.73 


6.10 


69.71 


6.41 


69.68 


6.71 


69.65 


7.01 


70 
71 




6.19 


70.70 


6.50 


70.67 


6.81 


70.64 


7.11 




72 


71.73 


6.28 


71.70 


6.59 


71.67 


6.90 


71.64 


7.21 


72 




73 


72.72 


6.36 


72.69 


6.68 


72.66 


7.00 


72.63 


7.31 


73 




74 


73.72 


6.45 


73.69 


6.77 


73.66 


7.09 


73.63 


7.41 


74 




75 


74.71 


6.54 


74.69 


6.86 


74.65 


7.19 


74.62 


7.51 


75 




76 


75.71 


6.62 


75.68 


6.95 


76.65 


7.28 


75.62 


7.61 


76 




77 


76.71 


6.71 


76.68 


7.05 


76.65 


7.38 


76.61 


7.71 


77 




78 


77.70 


6.80 


77.67 


7.14 


77.64 


7.48 


77.61 


7.81 


78 




79 


78.70 


6.89 


78.67 


7.23 


78.64 


7.57 


78.60 


7.91 


79 




80 

81 


79.70 
80.69 


6.97 


79.66 


7.32 


79.63 


7.67 


79.60 


8.02 


80 
81 




7.06 


80.66 


7.41 


80.63 


7.76 


80.59 


8.12 




82 
83 


81.69 


7.15 


81.66 


7". 50 


81.62 


7.86 


81.59 


8.22 


82 




82.68 


7.23 


82.65 


7.59 


82.62 


7.96 


82.58 


8.32 


83 




84 


83.68 


7.32 


83.65 


7.69 


83.61 


8.05 


83.58 


8.42 


84 




85 


84.68 


7.41 


84.64 


7.78 


84.61 


8.16 


84.67 


8.52 


85 




86 


85.67 


7.50 


85.64 


7.87 


86.60 


8.24 


85.57 


8.62 


86 




87 


86.67 


7.58 


86.64 


7.96 


86.60 


8.34 


86.66 


8.72 


87 




88 


87.67 


7.67 


87.63 


8.06 


87.59 


8.43 


87.66 


8.82 


88 




89 


88.66 


7.76 


88.63 


8.14 


88.59 


8.63 


88.65 


8.92 


89 




90 
91 


89.66 


7.84 


89.62 


8.24 


89.59 


8.63 


89.55 


9.02 


90 




90.65 


7.93 


90.62 


8.33 


90.58 


8.72 


90.54 


9.12 


91 




92 


91.65 


8.02 


91.61 


8.42 


91.68 


8.82 


91.54 


9.22 


92 




93 


92.65 


8.11 


92.61 


8.51 


92.57 


8.91 


92.53 


9.32 


93 


■ 


94 


93.64 


8.19 


93.61 


8.60 


93.57 


9.01 


93.63 


9.42 


94 




95 


94.64 


8.28 


94.60 


8.69 


94.56 


9.11 


94.52 


9.62 


95 




96 


95.63 


8.37 


95.60 


8.78 


96.66 


9.20 


95.52 


9.62 


96 




97 


96.63 


8.45 


96.59 


8.88 


96.55 


9.30 


96.51 


9.72, 


97 




98 


97.63 


8.54 


97.59 


8.97 


97.56 


9.39 


97.51 


9.82 


98 


. 


99 


98.62 


8.63 


98.59 


9.06 


98.54 


9.49 


98.50 


9.92 


99 




100 


99.62 


8.72 


99.58 


9.15 


99.54 


9.58 


99.50 


10.02 


100 

s 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


i 


85 r 


)eg. 


84J Deg. 


84| Deg. 


84i 


Deg. 


» 



14 



TRAVERSE TABLE. 





6 Deg. 


6\ Deg. 


H Deg. 


61 Deg. 


55 
o 


i 


Lat. 


Dep. 


Lat. 1 


Dep. 


Lat. 


Dep. 


Lat. 
0.99 


Dep. 


1 


0.99 


0.101 


0.99 


0.11 1 


0.99 


0.11 


0.12 


1 


2 


1.99 


0.21 


1.99 


0.22 


1.99 


0.23 


1.99 


0.24 


2 


3 


2.98 


0.31 


2.98 


0.33 


2.98 


0.34 


2.98 


0.35 


3 


4 


3.98 


0.41 


3.98 


0.44 


3.97 


0.45 


3.97 


0.47 


4 


5 


4.97 


0.52 


4.97 


0.54 


4.97 


0.57 


4.97 


0.59 


5 


6 


5.97 


0.63 


5.96 


0.65 


5.96 


0.68 


5.96 


0.71 


6 


7 


6.96 


0.73 


6.96 


0.76 


6.96 


0.79 


6.95 


0.82 


7 


8 


7.96 


0.84 


7.95 


0.87 


7.95 


0.91 


7.94 


0.94 


8 


9 


8.95 


0.94 


8.95 


0.98 


8.94 


1.02 


8.94 


1.06 


9 


10 
11 


9.95 


1.05 


9.94 


1.09 


9.94 


1.13 


9.93 


1.18 


10 


10.94 


1.15 


10.93 


1.20 


10.93 


1.25 


10.92 


1.29 


11 


12 


11.93 


1.25 


11.93 


1.31 


11.92 


1.36 


11.92 


1.41 


12 


13 


12.93 


1.36 


12.92 


1.42 


12.92 


1.47 


12.91 


1.53 


13 


14 


13.92 


1.46 


13.92 


1.52 


13.91 


1.59 


13.90 


1.65 


14 


15 


14.92 


1.57 


14.91 


1.63 


14.90 


1.70 


14.90 


1.76 


15 


16 


15.91 


1.67 


15.90 


1.74 


15.90 


1.81 


15.89 


1.88 


16 


17 


16.91 


1.78 


16.90 


1.85 


16.89 


1.92 


16.88 


2.00 


17 


18 


17.90 


1.88 


17.89 


1.96 


17.88 


2.04 


17.88 


2.12 


18 


19 


18.90 


1.99 


18.89 


2.07 


18.88 


2.15 


18.87 


2.23 


19 


20 
21 


19.89 


2.09 


19.88 

20.88 


2.18 
2.29 


19.87 


2.26 


19.86 


2.35 


20 


20.88 


2.20 


20.87 


2.38 


20.85 


2.47 


21 


22 


21.88 


2.30 


21.87 


2.40 


21.86 


2.49 


21.85 


2.59 


22 


23 


22.87 


2.40 


22.86 


2.50 


22.85 


2.60 


22.84 


2.70 


23 


24 


23.87 


2.51 


23.86 


2.61 


23.85 


2.72 


23.83 


2.82 


24 


25 


24.86 


2.61 


24.85 


2.72 


24.84 


2.83 


24.83 


2.94 


25 


26 


25.86 


2.72 


25.85 


2.83 


25.83 


2.94 


25.82 


3.06 


26 


27 


26.85 


2.82 


26.84 


2.94 


26.83 


3.06 


26.81 


3.17 


27 


28 


27.85 


2.93 


27.83 


3.05 


27.82 


3.17 


27.81 


3.29 


28 


29 


28.84 


3.03 


28.83 


3.16 


28.81 


3.28 


28.80 


3.41 


29 


30 


29.84 


3.14 


29.82 


3.27 


29.81 


3.40 


29.79 


3.53 


30 


31 


30.83 


3.24 


30.82 


3.37 


30.80 


3.51 


30.79 


3.64 


31 


32 


31.82 


3.34 


31.81 


3.48 


31.79 


3.62 


31.78 


3.76 


32 


33 


32.82 


3.45 


32.80 


3.59 


32.79 


3.74 


32.77 


3.88 


33 


34 


33.81 


3.55 


33.80 


3.70 


33.78 


3.85 


33.76 


4.00 


34 


35 


34.81 


3.66 


34.79 


3.81 


34.78 


3.96 


34.76 


4.11 


35 


36 


35.80 


3.76 


35.79 


3.92 


35.77 


4.08 


35.75 


4.23 


36 


37 


36.80 


3.87 


36.78 


4.03 


36.76 


4.19 


36.75 


4.35 


37 


38 


37.79 


3.97 


37.77 


4.14 


37.76 


4.30 


37.74 


4.47 


38 


39 


38.79 


4.08 


38.77 


4.25 


38.75 


4.41 


38.73 


4.58 


39 


40 


39.78 


4.18 


39.76 


4.35 


39.74 


4.53 


39.72 


4.70 


40 


41 


40.78 


4.29 


40.76 


4.46 


40.74 


4.64 


40.72 


4.82 


41 


42 


41.77 


4.39 


41.75 


4.57 


41.73 


4.76 


41.71 


4.94 


42 


43 


42.76 


4.49 


42.74 


4.68 


42.72 


4.87 


42.70 


5.05 


43 


44 


43.76 


4.60 


43.74 


4.79 


43.72 


4.98 


43.70 


5.17 


44 


45 


44.75 


4.70 


44.73 


4.90 


44.71 


5.09 


44.69 


5.29 


45 


46 


45.75 


4.81 


45.73 


5.01 


45.70 


5.21 


45.68 


5.41 


46 


47 


46.74 


4.91 


46.72 


5.12 


46.70 


5.32 


46.67 


6.52 


47 


48 


47.74 


5.02 


47.71 


5.23 


47.69 


5.43 


47.67 


5.64 


48 


49 


48.73 


5.12 


48.71 


5.34 


48.69 


5.55 


48.66 


5.76 


49 


50 

i 


49.73 


5.23 


49.70 


5.44 


49.68 


5.66 


49.65 


5.88 


50 


Dep. 


1 Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


0) 

i 


84 Deg. 

t 


831 


Deg. 


B^ 


Deg. 


83i Deg. 


5 
.2 
Q 



TRAVERSE TABLE. 



15 



5' 

g 
51 


6Deg. 


6i Deg. 


6i Deg. 


6| Deg. 


5- 
51 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




50.72 


5.33 


50.70 


5.55 


50.67 


5.77 


50.65 


5.99 




52 


51.72 


5.44 


51.69 


5.66 


51.67 


5.89 


51.64 


6.11 


52 




53 


52.71 


5.54 


52.68 


5.77 


52.66 


6.00 


52.63 


6.23 


53 




54 


53.70 


5.64 


53.68 


5.88 


53.65 


6.11 


53.63 


6.35 


54 




55 


54.70 


5.75 


54.67 


5.99 


54.65 


6.23 


54.62 


6.46 


55 




56 


55.69 


5.85 


55.67 


6.10 


55.64 


6.34 


55.61 


6.58 


56 




57 


56.69 


5.96 


56.66 


6.21 


56.63 


6.45 


56.60 


6.70 


57 




58 


57.68 


6.06 


57.66 


6.31 


57.63 


6.57 


57.60 


6.82 


58 




59 


58.68 


6.17 


58.65 


6.42 


58.62 


6.68 


58.59 


6.93 


59 




60 
61 


59.67 


6.27 


59.64 


6.53 


59.61 


6.79 


69.58 


7.05 


60 
.61 




60.67 


6.38 


60.64 


6.64 


60.61 


6.91 


60.58 


7.17 




62 


61.66 


6.48 


61.63 


6.75 


61.60 


7.02 


61.57 


7.29 


62 




63 


62.65 


6.59 


62.63 


6.86 


62.60 


7.13 


62.56 


7.40 


63 




64 


63.65 


6.69 


63.62 


6.97 


63.59 


7.25 


63.56 


7.52 


64 




65 


64.64 


6.79 


64.61 


7.08 


64.58 


7.36 


64.55 


7.64 


65 




66 


65.64 


6.90 


65.61 


7.19 


65.58 


7.47 


65.54 


7.76 


66 




67 


66.63 


7.00 


66.60 


7.29 


66.57 


7 58 


66.54 


7.88 


67 




68 


67.63 


7.11 


67.60 


7.40 


67.56 


7.70 


67.53 


7.99 


68 




69 


68.62 


7.21 


68.59 


7.51 


68.56 


7.81 


68.52 


8.11 


69 




70 

71 


69.62 


7.32 


69.58 


7.62 


69.55 


7.92 


69.51 


8.23 


70 
71 




70.61 


7.42 


70.58 


7.73 


70.54 


8.04 


70.51 


8.35 




72 


71.61 


7.53 


71.57 


7.84 


71.54 


8.15 


71.50 


8.46 


72 




73 


72.60 


7.63 


72.57 


7.95 


72.53 


8.26 


72.49 


8.58 


73 




74 


73.59 


7.74 


73.56 


8.06 


73.52 


8.38 


73.49 


8.70 


74 




75 


74.59 


7.84 


74.55 


8.17 


74.52 


8.49 


74.48 


8.82 


75 




76 


75.58 


7.94 


75.55 


8.27 


75.51 


8.60 


75.47 


8.93 


76 




77 


76.58 


8.05 


76.54 


8.38 


76.51 


8.72 


76.47 


9.05 


77 




78 


77.57 


8.15 


77.54 


8.49 


77.50 


8.83 


77.46 


9.17 


78 




79 


78.57 


8.26 


78.53 


8.60 


78.49 


8.94 


78.45 


9.29 


79 




80 
81 


79.56 


8.36 


79.53 


8.71 


79.49 


9.06 


79.45 


9.40 


80 
81 




80.56 


8.47 


80.52 


8.82 


80.48 


9.17 


180.44 


9.52 




82 


81.55 


8.57 


81.51 


8.93 


81.47 


9.28 


81.43 


9.64 


82 




83 


82.55 


8.68 


82.51 


9.04 


82.47 


9.40 


82.42 


9.76 


83 




84 


83.54 


8.78 


83.50 


9.14 


83.46 


9.51 


83.42 


9.87 


84 




85 


84.53 


8.88 


84.50 


9.25 


84.45 


9.62 


84.41 


9.99 


85 




86 


85.53 


8.99 


85.49 


9.36 


85.45 


9.74 


85.40 


10.11 


86 




87 


86.52 


9.09 


86.48 


9.47 


86.44 


9.85 


86.40 


10.23 


87 




88 


87.52 


9.20 


87.48 


9.58 


87.43 


9.96 


87.39 


10.34 


88 




89 


88.51 


9.30 


88.47 


9.69 


88.43 


10.08 


188.38 


10.46 


89 




90 
91 


89.51 


9.41 


89.47 


9.80 


89.42 


10.19 


89.38 


10.58 


90 
91 




90.50 


9.51 


90.46 


9.91 


90.42 


10.30 


90.37 


10.70 




92 


91.50 


9.62 


91.45 


10.02 


91.41 


10.41 


91.36 


10.81 


92 




93 


92.49 


9.72 


92.45 


10.12 


92.40 


10.53 


92.36 


10.93 


93 




94 


93.49 


9.83 


93.44 


10.23 


93.40 


10.64 


93.35 


11.05 


94 




95 


94.48 


9.93 


94.44 


10.34 


94.39 


10.75 


94.34 


11.17 


95 




96 


95.47 


10.03 


95.43 


10.45 


95.38 


10.87 


95.33 


11.28 


96 




97 


96.47 


10.14 


96.42 


10.56 


96.38 


10.98 


96.33 


11.40 


97 




98 


97.46 


10.24 


97.42 


10.67 


97.37 


11.09 


97.32 


11.52 


98 




99 


98.46 


10.35 


98.41 


10.78 


98.36 


11.21 


98.31 


11.64 


99 




100 

6 
o 

§ 

.2 


99.45 


10.45 


99.41 


10.89 


99.36 


11.32 


99.31 


11.75 


100 

1 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Latr 




84 Deg. 


831 Deg. 


s^ 


Deg. 


83i Deg. 





36 



TRAVERSE TAELfi. 



GB 
1 


1 

7Deg. 


n Deg. 


n 


Deg. 


71 Deg. 


p 

1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat 


Dep. 


Lat. 


Dep. 


0.99 


0.12 


0.99 


0.13 


1 0.99 


0.13 


0.99 


0.13 


I 


2 


1.99 


0.24 


1.98 


0.25 


1.98 


0.26 


1.98 


0.27 


2 


3 


2.98 


0.37 


2.98 


0.38 


2.97 


0.39 


2.97 


0.40 


3 


4 


3.97 


0.49 


3.97 


0.50 


3.97 


0.52 


3.96 


0.54 


4 


5 


4.96 


0.61 


4.96 


0.63 


4.96 


0.65 


4.95 


0.67 


5 


6 


5.96 


0.73 


5.95 


0.76 


5.95 


0.78 


5.95 


0.81 


6 


' 7 


6.95 


0.85 


G.94 


0.88 


6.94 


0.91 


6.94 


0.94 


7 


8 


7.94 


0.97 


7.94 


1.01 


7.93 


1.04 


7.93 


1.08 


8 


9 


8.93 


1.10 


8.93 


1.14 


8.92 


1.17 


8.92 


1.21 


9 


10 

TT 


9.93 


1.22 


9.92 


1.26 
1.39 


9.91 


1.31 


9.91 


1.35 

1.48 


10 
11 


10.92 


1.34 


10.91 


10.91 


1.44 


10.90 


12 


11.91 


1.46 


11.90 


1.51 


11.90 


1.57 


11.89 


1.62 


12 


13 


12.90 


1.58 


12.90 


1.64 


12.89 


1.70 


12.88 


1.75 


13 


14 


13.90 


1.71 


13.89 


1.77 


13.88 


1.83 


13.87 


1.89 


14 


15 


14.89 


1.83 


14.88 


1.89 


14.87 


1.96 


14.86 


2.02 


15 


16 


15.88 


1.95 


15.87 


2.02 


15.86 


2.09 


15.85 


2.16 


16 


17 


16.87 


2.07 


16.86 


2.15 


16.85 


2.22 


16.84 


2.29 


17 


18 


17.87 


2.19 


17.86 


2.27 


17.85 


2.35 


17.84 


2.43 


18 


19 


18.86 


2.32 


18.85 


2.40 


18.84 


2.48 


18.83 


2.56 


19 


20 
21 


19.85 


2.44 


19.84 


2.52 


19.83 


2.61 


19.82 


2.70 


20 
21 


20.84 


2.56 


20.83 


2.65 


20.82 


2.74 


20.81 


2.83 


22 


21.84 


2.68 


21.82 


2.78 


21.81 


2.87 


21.80 


2.97 


22 


23 


22.83 


2.80 


22.82 


2.90 


22.80 


3.00 


22.79 


3.10 


23 


24 


23.82 


2.92 


23.81 


3.03 


23.79 


3.13 


23.78 


3.24 


24 


25 


24.81 


3.05 


24.80 


3.15 


24.79 


3.26 


24.77 


3.37 


25 


26 


25.81 


8.17 


25.79 


3.28 


25.78 


3.39 i 


25.76 


3.51 


26 


27 


26.80 


3.29 


26.78 


3.41 


26.77 


3.52 


26.75 


3.64 


27 


28 


27.79 


3.41 


27.78 


3.53 


27.76 


3.65 


27.74 


3.78 


28 


29 


28.78 


3.53 


28.77 


3.66 


28.75 


3.79 


28.74 


3.91 


29 


30 

31 


29.78 


3.66 


29.76 


3.79 


29 . 74 


3.92 


29.73 


4.05 


30 


30.77 


3.78 


30.75 


3.91 


30.73 


4.05 


30.72 


4.18 


3i 


32 


31.76 


3.90 


31.74 


4.04 


31.73 


4.18 


31.71 


4.32 


32 


33 


32.75 


4.02 


32.74 


4.16 


32.72 


4.31 


32.70 


4.45 


33 


34 


33.75 


4.14 


33. 73 


4.29 


33.71 


4.44 


33.69 


4.58 


34 


35 


34.74 


4.27 


34.72 


4.42 


34.70 


4.57 


34.68 


4.72 


35 


36 


35.73 


4.39 


35.71 


4.54 


35.69 


4.70 


35.67 


4.85 


36 


37 


36.72 


4.51 


36.70 


4.67 


36.68 


4.83 


36.66 


4.99 


37 


38 


37.72 


4.63 


37.70 


4.80 


37.67 


4.96 


37.65 


5.12 


38 


39 


38.71 


4.75 


38.69 


4.92 


38.67 


5.09 


38.64 


5.26 


39 


40 
41 


39.70 


4.87 


39.68 
40.67 


5.05 


39.66 


5.22 


39.63 


5.39 


40 
41 


40.70 


5.00 


5.17 


40.65 


5.35 


40.63 


5.53 


42 


41.69 


5.12 


41.66 


5.30 


41.64 


5.48 


41.62 


5.66 


42 


43 


42.68 


5.24 


42.66 


5.43 


42.63 


5.61 


42.61 


5.80 


43 


44 


48.67 


5.36 


43.65 


5.55 


43.62 


5.74 


43.60 


5.93 


44 


45 


44.67 


5.48 


44.64 


5.68 


44.62 


5.87 


44.59 


6.07 


45 


46 


45.66 


5.61 


45.63 


5.81 


45.61 


6,00 


45.58 


6.20 


46 


47 


46.65 


5.73 


46.62 


5.93 


46.60 


6.13 


46.57 


6.34 


47 


48 


47.64 


5.85 


47.62 


6.06 


47.59 


6.27 


47.. 56 


6.47 


48 


49 


48.63 


5.97 


48.61 


6.18 


48.58 


6.40 


48.55 


6.61 


49 


50 

J 

.2 


49.63 


6.09 


49.60 


6.31 


49.57 


6.53 


49.54 


6.74 


50 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


6 
o 

c 
d 

Q 


83 1 


)eg. 


821 ] 


3eg. . 


821 


Deg. 


82i Deg. 



TKAVERSE TABLE. 



n 





i 

s 

51 


7Deg. 


1\ ^^g. 

1 


1^ Deg. 


7J Deg. 

i 


51 




Lat. 


Dep. 


Lat. 


Dep. i 


Lat. 


Dep. 


Lat. 
.50.53 


Dep. 




50.62 


6.22 


50.69 


6.44 


50.56 


6.66 


6.88 




53 


51.61 


6.34 


51.58 


6.56 1 


51.56 


6.79 


51.53 


7.01 


52 




53 


52.60 


6.46 


52.58 


6.69 


52.55 


6.92 


52.52 


7.15 


53 




54 


53.60 


6.58 


53.57 


6.81 


53.54 


7.05 


53.51 


7.28 


54 




55 


54.59 


6.70 


54.56 


6.94 


54.53 


7.18 


54.. 50 


7.42 


55 




56 


55.58 


6.82 


55.55 


7.07 


55.52 


7.31 


55.49 


7.55 


56 




57 


56.58 


6.95 1 


56.54 


7.19 


56.51 


7.44 


56.48 


7.69 


57 




58 


57.57 


7.07 


57.54 


7.32 


57.50 


7.57 


57.47 


7.82 


58 




59 


58.56 


7.19 


58.53 


7.45 


58.50 


7.70 


58.46 


7.96 


59 




60 
61 


59.55 


7.31 


59.52 


7.57 


59.49 


7.83 


59.45 


8.09 


60 
61 




60.55 


7.43 


60.51 


7.70 


60.48 


7.96 


60. M 


8.23 




62 


61.54 


7.56 


61.50 


7.82 


61.47 


8.09 


61.43 


8.36 


62 




63 


62.53 


7.68 


62.50 


7.95 


62.46 


8.22 


•62.42 


8.50 


63 




64 


63.52 


7.80 


63.49 


8.08 


63.45 


8.3a 


63.42 


8.63 


64 




65 


64.52 


7.92 


64.48 


8.20 


64.44 


8.48 


64.41 


8.77 


65 


^ 


66 


65.51 


8.04 


65.47 


8.33 


65.44 


8.61 


65.40 


8.90 


66 




67 


66.50 


8.17 


66.46 


8.46 


66.43 


8.75 


66.39 


9.04 


67 




68 


67.49 


8.29 


67.46 


8.58 


67.42 


8.88 


67.38 


9.17 


68 




69 


68.49 


8.41 


68.45 


8.71 


68.41 


9.01 


68.37 


9.30 


69 




70 
71 


69.48 


8.53 


69.44 


8.83 


69.40 


9.14 


69.36 


9.44 


70 
71 




70.47 


8.65 


70.43 


8.96 


70.39 


9.27 


70.. 35 


9.57 




72 


71.46 


8.77 


71.42 


9.09 


71.38 


9.40 


71.-34 


9.71 


72 




73 


72.46 


8.90 


72.42 


9.21 


72 38 


9.53 


72.33 


9.84 


73 




74 


73.45 


9.02 


73.41 


9.34 


73.37 


9.66 


73.32 


9.98 


74 




75 


74.44 


9.14 


74.40 


9.46 


74.36 


9.79 


74.31 


10.11 


75 




76 


75.43 


9.26 


75.39 


9.59 


75.35 


9.92 


75.31 


10.25 


76 




77 


76.43 


9.38 


76.38 


9.72 


76.34 


10.05 


76.30 


10.38 


77 




78 


77.42 


9.51 


77. a8 


9.84 


177.33 


10.18 77.29 


10.52 


78 




79 


78.41 


9.63 


78.37 


9.97 178.32 


10.31 1: 78.28 


10.65 


79 




80 
81 


79.40 


9.75 


79.36 


10.10 


1 79.32 


10.44 ii 79.27 


10.79 


80 
81 




80.40 


9.87 


180.35 


10.22 


80.31 


10.57 


80.26 


10.92 




82 


81.39 


9.99 


181.34 


10.35 


81.30 


10.70 


81.25 


11.06 


82 




83 


82.38 


10.12 


82.34 


10.47 


82.29 


10.83 


82.24 


11.19 


83 




84 


83.37 


10.24 


83.33 


10.60 


83.28 


10.96 


83.23 


11.33 


84 




85 


84.37 


10.36 


84.32 


10.73 


84.27 


11.09 


84.22 


11.46 


85 




86 


85.36 


10.48 


85.31 


10.85 


85.26 


11.23 


85.21 


11.60 


86 




87 


86.35 


10.60 


86.30 


10.98 


86.26 


11.36 


86.21 


11.73 


87 




88 


87.34 


10.72 


87.30 


11.11 


87.25 


11.49 


87.20 


11.87 


88 




89 


88.34 


10.85 


88.29 


11.23 


88.24 


11.62 


88.19 


12.00 


89 




90 
~91 


89.33 


10.97 


89.28 


11.36 


89.23 


11.75 


89.18 


12.14 


90 
91 




90.32 


11.09 


90.27 


11.48 


90.22 


11.88 


90.17 


12.27 




92 


91.31 


11.21 


91.26 


11.61 


91.21 


12.01 


91.16 


12.41 


92 




93 


92.31 


11.33 


92.26 


11.74 


92.20 


12.14 


92.15 


12.54 


93 




94 


93.30 


11.46 


93.25 


11.86 


93.20 


12.27 


93.14 


12.68 


94 




95 


94.29 


11.58 


94.24 


11.^9 


94.19 


12.40 


94.13 


12.81 


95 




96 


95.28 


11.70 


95.23 


12.12 


95.18 


12.53 


95.12 


12.95 


96 




97 


96.28 


11.82 


96.22 


12.24 


96.17 


12.66 


96.11 


13.08 


97 




98 


97.27 


11.94 


97.22 


12.37 


97.16 


12.79 


97.10 


13.22 


98 




99 


98.26 


12.07 


98.21 


12.49 


98.15 


12.92 


98.10 


13.35 


99 




100 

u 
o 

.2 


99.25 


12.19 


99.20 


12.62 


99.14 
Dep. 


13.05 


99.09 


13.49 


100 

! 5 




Dep. 


Lat. 


Dep. 


Lat. 


Lat. 


Dep. 


Lat. 




83 Deg. 


82| Deg. 


82i Deg. 


82i Deg. 



18 



TRAVERSE TABLE. 



g 


8 Deg. 


1 

8i Deg. 


8|] 


Deg. 


8| Deg. 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.99 


0.14 


0.99 


0.14 


0.99 


0.15 


0.99 


0.15 


1 


2 


1.98 


0.28 


1.98 


0.29 


1.98 


0.30 


1.98 


0.30 


2 


3 


2.97 


0.42 


2.97 


0.43 


2.97 


0.44 


2.97 


0.46 


3 


4 


3.96 


0.56 


3.96 


0.57 


3.96 


0.59 


3.95 


0.61 


4 


5 


4.95 


0.70 


4.95 


0.72 


4.95 


0.74 


4.94 


0.76 i 5! 


6 


5.94 


0.84 


5.94 


0.86 


5.93 


0.89 


5.93 


0.91 


6 


7 


6.93 


0.97 


6.93 


1.00 


6.92 


1.03 


6.92 


1.06 


7 


8 


7.92 


1.11 


7.92 


1.15 


7.91 


1.18 


7.91 


1.22 


8 


9 


8.91 


1.25 


8.91 


1.29 


8.90 


1.33 


8.90 


1.37 


9 


10 
11 


9.90 


1.39 


9.90 


1.43 


9.89 


1.48 


9.88 


1.52 
1.67 


10 
11 


10.89 


1.53 


;0.89 


1.58 


10.88 


1.63 


10.87 


12 


11.88 


1.67 


11.88 


1.72 


11.87 


1.77 


11.86 


1.83 


12 


13 


12.87 


1.81- 


12.87 


1.87 


12.86 


1.92 


12.85 


1.98 


13 


14 


13.86 


1.95 


13.86 


2.01 


13.85 


2.07 


13.84 


2.13 


14 


15 


14.85 


2.09 


14.85 


2.15 


14.84 


2.22 


14.83 


2.28 


15 


16 


15.84 


2.23 


15.84 


2.30 


15.82 


2.36 


15.81 


2.43 


16 


17 


16.83 


2.37 


16.83 


2.44 


16.81 


2.51 


16.80 


2.59 


17 


18 


17.82 


2.51 


17.81 


2.58 


17.80 


2.66 


17.79 


2.74 


18 


19 


18.82 


2.64 


18.80 


2.73 


18.79 


2.81 


18.78 


2.89 


19 


20 
21 


19.81 


2.78 


19.79 


2.87 


19.78 


2.96 


19.77 


3.04 


20 


20.80 


2.92 


20.78 


3.01 


20.77 


3.10 


20.76 


3.19 


21 


22 


21.79 


3.06 


21.77 


3.16 


21.76 


3.25 


21.74 


3.35 


22 


23 


22.78 


3.20 


22.76 


3.30 


22,75 


3.40 


22.73 


3.50 


23 


24 


23.77 


3.34 


23.75 


3.44 


23.74 


3.55 


23.72 


3.65 


24 


25 


24.76 


3.48 


24.74 


3.59' 


24.73 


3.70 


1 24.71 


3.80 


25. 


26 


25.75 


3.62 


25.73 


3.73 


25.71 


3.84 


125.70 


3.96 


26 


27 


26.74 


3.76 


26.72 


3.87 


26.70 


3.99 


126.69 


4.11 


27 


28 


27.73 


3.90 


27.71 


4.02 


27.69 


*4.14 J27.67 


4.26 


28 


29 


28.72 


4.04 


28.70 


4.16 


28.68 


4.29 1 28.66 


4.41 


29 


30 


29.71 


4.18 


29.69 


4.30 


29.67 


4.43 1129.65 


4.56 


30 


31 


30.70 


4.31 


30.68 


4.45 


30.66 


4.58 i'i 30.64 


4.72 


31 


32 


31.69 


4.45 


31.67 


4.59 


31.65 


4.73 i!31.63 


4.87 


32 


33 32.68 


4.59 


32.66 


4.74 


32.64 


4.88 


32.62 


5.02 


33 


34 


33.67 


4.73 


33.65 


4.88 


33.63 


5.03 


33.60 


5.17 


34 


35 


34.66 


4.87 


34.64 


5.02 


34.62 


5.17 


34.59 


5.32 


35 


36 


35.65 


5.01 


35.63 


5.17 


35.60 


5.. 32 


35.58 


5.48 


38 


37 


36.64 


5.15 


36.62 


5.31 


38.59 


5.47 


36.57 


5.63 


37 


38 


37.63 


5.29 


37.61 


5.45 


37.58 


5.62 


37.56 


5.78 


38 


39 


.S8 .62 


5.43 


38.60 


5.60 


38.57 


5.76 


38.55 


5.93 


39 


40 39.61 


5.57 


39.59 


5.74 


39.56 


5.91 


39 . 53 


6.08 


40 


41 40.60 


5.71 


40.58 


5.88 


40.55 


6.06 


40.52 


6.24 


41 


42 


41.59 


5.85 


41.57 


6.03 


41.. 54 


6.21 


41.51 


6.39 


42 


43 


42.. 58 


5.98 


42.56 


6.17 


42.53 


6.36 


42.50 


6.54 


43 


44 


43.57 


6.12 


43.54 


6.31 


43.52 


6.50 


43.49 


6.69 


44 


45 


44.56 


6.26 


44.53 


6.46 


44.51 


6.65 


44.48 


6.85 


45 


46 


45.55 


6.40 


45.52 


-6.60 


45.49 


6.80 1 


45.46 


7.00 


46 


47 


46.54 


6.54 


46.51 


6.74 


46.48 


6.95 


46.45 


7.15 


47 


• 48 


47.53 


6.68 


47.50 


6.89 


47.47 


7.09! 47.44 


7.30 


48 


49 


48.52 


6.82 


48.49 


7.03 


48.46 


7.24!! 48.43 


7.45 


49 


^0 


49.51 


6.98 


49.48 


7.17 


49.45 


7.39 1! 49.42 


7.61 


50 


1 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 1 

1 


Dep 


Lat. 


C3 

1 

.22 

P 


82 1 


)eg 


811 Deg. 


8U- 


1 
Deg. 1 


81J ] 


Oeg. 



TJKAVERSE TABLE. 



19 



s 
~5T 


8 Deg. 


n\ Deg. 


H Deg. 


81 Deg. 


5 

51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


50.50 


7.10 


50.47 


7.32 


50.44 7.54 i 


50.41 


7.76 


52 


51.49 


7.24 


51.46 


7.46 


51.43 7.69 1 


51.39 


7.91 


52 


53 


52.48 


7.38 


52.45 


7.61 


52.42 


7.83 


52.38 


8.06 


53 


54 


53.47 


7.52 


53.44 


7.75 


53.41 


7.98 


53.37 


8.21 


54 


55 


54.46 


7.65 


54.43 


7.89 


54.40 


8.13 


54.36 


8.37 


55 


56 


55.46 


7.79 


55.42 


8.04 


55.38 


8.28 


55.35 


8.52 


56 


57 


56.45 


7.93 


.56.41 


8.18 


56.37 


8.43 


56.34 


8.67 


57 


58 


57.44 


8.07 


57.40 


8.32 


57.36 


8.57 


57.32 


8.82 


58 


59 


58.43 


8.21 


58.39 


8.47 


58.35 


8.72 


58.31 


8.98 


59 


60 
61 


59.42 


8.35 


.59.38 


8.61 


59.34 


8.87 


59.30 


9.13 


60 
61 


60.41 


8.49 


60.37 


8.75 


60.33 


9.02 


60.29 


9.28 


62 


61.40 


8.63 


61.36 


8.90 


61.32 


9.16 


61.28 


9.43 


62 


63 


62.39 


8.77 


62.35 


9.04 


62.31 


9.31 


62.27 


9.58 


63 


64 


63.38 


8.91 


63.34 


9.18 


63.30 


9.46 


63.26 


9.74 


64 


65 


64.37 


9.05 


64.33 


9.33 


64.29 


9.61 


64.24 


9.89 


65 


66 


65.36 


9.19 


65.32 


9.47 


65.28 


9.76 


65.23 


10.04 


66 


67 


66.35 


9.32 


66.31 


9.61 


66.26 


9.90 


66.22 


10.19 


67 


68 


67.34 


9.46 


67.30 


9.76 


67.25 


10.05 1 


67.21 


10.34 


68 


69 


68.33 


9.60 


68.29 


9.90 


68.24 


10.20 


68.20 


10.50 


69 


70 
71 


69.32 


9.74 


69.28 


10.04 


69.23 


10.35 


69.19 


10.65 


70 

71 


70.31 


9.88 


70.27 


10.19 


70.22 


10.49 


70.17 


10.80 


72 


71.30 


10.02 


71.25 


10.33 


71.21 


10.64 


71.16 


10.95 


72 


73 


72.29 


10.16 


72.24 


10.47 


72.20 


10.79 


72.15 


11.10 


73 


74 


73.28 


10.30 


73.23 


10.62 


73.19 


10.94' 


73.14 


11.26 


74 


75 


74.27 


10.44 


74.22 


10.76 


74.18 


11.09 


74.13 


11.41 


75 


76 


75.26 


10.58 


75.21 


10.91 


75.17 


11.23 


75.12 


11.56 


76 


77 


76.25 


10.72 


76.20 


11.05 


76.15 


11.38 


70.10 


11.71 


77 


78 


77.24 


10.86 


77.19 


11.19 


77.14 


11.53 


77.09 


11.87 


78 


79 


78.23 


10.99 


78.18 


11.34 


78.13 


11.68 


78.08 


12.02 


79 


80 

81 


79.22 


11.13 


79.17 


11.48 


79.12 
80.11 


11.82 
'11.97' 


79.07 


12.17 
12.32 


SO 
81 


80.21 


11.27 


80.16 


11.62 


80.06 


82 


81.20 


11.41 


81.15 


11.77 


81.10 


12.12 


81.05 


12.47 


82 


83 


82.19 


11.55 


82.14 


11.91 


82.09 


12.27 


82.03 


12.63 


83 


84 


83.18 


11.69 


83.13 


12.05 


83.03 


12.42 


83.02 


12.78 


84 


85 


84.17 


11.83 


84.12 


12.20 


84.07 


12.56 


84.01 


12.93 


85 


86 


85.16 


11.97 


85.11 


12.34 


85.06 


12.71 


85.00 


13.08 


86 


87 


86.15 


12.11 


86.10 


12.48 


86.04 


12.86 


85.99 


13.23 


87 


88 


87.14 


12.25 


{87.09 


12.63 


87.03 


13.01 


86.98 


13.39 


88 


89 


88.13 


12.39 


88.08 


12.77 


88.02 


13.16 


87.96 


13.54 


89 


90 
91 


89.12 


12.53 


89.07 
90.06 


12.91 


89.01 


13.30 


88.95 
89.94 


13.69 


90 
91 


90.11 


12.66 


13.06 


90.00 


13.45 


13.84 


93 


91.10 


12.80 


91.05 


13.20 


90.99 


13.60 


90.93 


14.00 




93 


92.09 


12.94 


92.04 


13.34 


91.98 


13.75 


91.92 


14.15 


93 


94 


93.09 


13.08 


93.03 


13.49 


92.97 


13.89 


92.91 


14.30 


94 


95 


94.08 


13.22 


94.02 


13.63 


93.96 


14.04 


93.89 


14.45 


95 


96 


95.07 


13.36 


95.01 


13.78 


94.95 


14.19 


94.88 


14.60 


96 


97 


93.06 


13.50 


96.00 
1 96.99 


13.92 


95.93 


14.34 


95.87 


14.76 


97 


93 


97.05 


13.64 


14.06 


96.92 


14.49 


96.86 


14.91 


98 


99 


98.04 


13.78 


! 97.98 


14.21 


97.91 


14.63 


97.85 


15.06 


99 


100 

8 
1 


99.03 


13.92 


1 98.97 


14.35 


98.90 


14.78 


98.84 


15.21 


100 

6 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


82 


Deg. 


01 i Deg. 


81i Deg. 


8U Deg. 



20 



TRAVKliSE TABLE- 



o 

CD 


9De^. 


n Deg. 


H 


Deo-. 


9.1 


Deg. 


C 
1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0.99 


0.16 


0.99 


0.16 


0.99 


0.17 


0.99 


0.17 


2 


1.98 


0.31 


1.97 


0.32 


1.97 


0.33 


1.97 


0.34 


2 


3 


2.96 


0.47 


2.96 


0.48 


2.96 


0.50 


2.96 


0.51 


3 


4 


3.95 


0.63 


3.95 


0.64 


3.95 


0.66 


3.94 


0.68 


4 


5 


4.94 


0.78 


4.93 


0.80 


4.93 


0.83 


4.93 


0.85 


5 


6 


5.93 


0.94 


5.92 


0.96 


5.92 


0.99 


5.91 


1.02 


6 


7 


6.91 


1.10 


6.91 


1.13 


6.90 


1.16 


6.90 


1.19 


7 


8 


7.90 


1.25 


7.90 


1.29 


7.89 


1.32 


7.88 


1.35 


8 


9 


8.89 


1.41 


8.88 


1.45 


8.88 


1.49 


8.87 


1.52 


9 


10 
11 


9.88 


1.56 


9.87 


1.61 


9.86 


1.65 


9.86 


1.69 


10 
11 


10.86 


1.72 


10.86 


1.77 


10.85 


1.82 


10.84 


1.86 


12 


11.85 


1.88 


11.84 


1.93 


11.84 


1.98 


11.83 


2.03 


12 


13 


12.84 


2.03 


12.83 


2.09 


12.82 


2.15 


12.81 


2.20 


13 


14 


13.83 


2.19 


13.82 


2.25 


13.81 


2.31 


13.80 


2.37 


14 


15 


14.82 


2.35 


14.80 


2.41 


14.79 


2.48 


14.78 


2.54 


15 


16 


15.80 


2.50 


15.79 


2.57 


15.78 


2.64 


15.77 


2.71 


16 


17 


16.79 


2.66 


16.78 


2.73 


16.77 


2.81 


16.75 


2.88 


17 


18 


17.78 


2.82 


17.77 


2.89 


17.75 


2.97 


17.74 


3.05 


18 


19 


18.77 


2.97 


18.75 


3.05 


18.74 


3.14 


18.73 


3.22 


19 


20 
21 


19.75 


3.13 


19.74 


3.21 
3.38 


19.73 


3.30 


19.71 


3.39 


20 


20.74 


3.29 


20.73 


20.71 


3.47 


20.70 


3.56 


21 


22 


21.73 


3.44 


21.71 


3.54 


21.70 


3.63 


21.68 


3.73 


22 


23 


22.72 


3.60 


22.70 


3.70 


22.68 


3.80 


22.67 


3.90 


23 


24 


23.70 


3.75 


23.69 


3.86 


23.67 


3.96 


23.65 


4.06 


24 


25 


24.69 


3.91 


24.67 


4.02 


24.66 


4.13 


24.64 


4.23 


25 


26 


25.68 


4.07 


25.66 


4.18 


25.64 


4.29 


25.62 


4.40 


26 


27 


26.67 


4.22 


26.65 


4.34 


26.63 


4.46 


26.61 


4.57 


27 


28 


27.66 


4.38 


27.64 


4.50 


27.62 


4.62 


27.60 


4.74 


28 


29 


28.64 


4.54 


28.62 


4.66 


28.60 


4.79 


28.58 


4.91 


29 


30 

31 


29.63 


4.69 


29.61 


4.82 


29.59 


4.95 


29.57 


5.08 


30 


30.62 


4.85 


30.60 


4.98 


30.57 


5.12 


30.55 


5.25 


31 


32 


31.61 


5.01 


31.58 


5.14 


31.56 


5.28 


31.54 


5.42 


32 


33 


32.59 


5.16 


32.57 


5.30 


32.55 


5.45 


32.52 


5.59 


33 


34 


33.58 


5.32 


33.56 


5.47 


33.. 53 


5.61 


33.51 


5.76 


34 


35 


34.57 


5.48 


34.54 


5.63 


34.52 


5.78 


34.49 


5.93 


35 


36 


35.56 


6.63 


35.53 


5.79 


35.51 


5.94 


35.48 


6.10 


36 


37 


36.54 


5.79 


36.62 


5.95 


36.49 


6.11 


36.47 


6.27 


37 


38 


37.53 


5.94 


37.51 


6.11 


37.48 


6.27 


37.45 


6.44 


38 


39 


38.52 


6.10 


38.49 


6.27 


38.47 


6.44 


38.44 


6.60 


39 


40 

41 


39.51 


6.26 


39.48 


6.43 


39.45 


6.60 
6.77 


39.42 


6.77 


40 
41 


40.50 


6.41 


40.47 


6.59 


40.44 


40.41 


6.94 


42 


41.48 


6.57 


41.45 


6.75 


41.42 


6.92 


41.39 


7.11 


42 


43 


42.47 


6.73 


42.44 


6.91 


42.41 


7.10 


42.38 


7.28 


43 


44 


43.46 


6.88 


43.43 


7.07 


43.40 


7.26 


43.36 


7.45 


44 


45 


44.45 


7.04 


44.41 


7.23 


44.. 38 


7.43 


44.35 


7.62 


45 


46 


45.43 


7.20 


45.40 


7.39 


45.37 


7.59 


45.34 


7.79 


46 


47 


46.43 


7.35 


46.39 


7.55 


46.36 


7.76 


46.32 


7.96 


47 


48 


47.41 


7.51 


47.38 


7.72 


47.34 


7.92 


47.31 


8.13 


48 ■ 


49 


48.40 


7.67 


48.36 


7.88 


48.33 


8.09 


48.29 


8.30 


49 


50 

® 

05 


49.38 


7,82 


49.35 


8.04 


49.32 


8.25 


49.28 


8.47 


50 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


s ■ 


811 


)eg. 


801 I 


)eg. 


801 


Deg. 


801 Deg. 



teavi::rse tabll;. 



21 



1 

c 

9 

"51 


9 Deg. 


9k Deg. 


H Deg. 


91 Deg. 


S 
o 

? 

~51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 1 


Dep. 


50.37 


7.98 1 


50.. 34 


8.20 


50.30 


8.42 


50.26 


8.64 


52 


51.36 


8.13 


51.32 


8.36 


51.29 


8.58 


51.25 


8.81 


52 


53 


52.35 


8.29 


52.31 


8.52 


52.27 


8.75 


52.23 


8.98 


53 


54 


53.34 


8.45 1 


53.30 


8.68 


53.26 


8.91 


53.22 


9.14 


54 


55 


54.32 


8.60 i 


54.28 


8.84 


54.25 


9.08 


54.21 


9.31 


55 


56 


55.31 


8.76 


.55.27 


9.00 


55.23 


9.24 


55.19 


9.48 


56 


57 


56.30 


8.92 


56.26 


9.16 


56.22 


9.41 


56.18 


9.65 


57 


58 


57.29 


9.07 


57.25 


».32 


57.20 


9.57 


57.16 


9.82 


58 


59 


58.27 


9.23 


58.23 


9.48 


58.19 


9.74 


58.15 


9.99 


59 


60 
61 


59.26 


9.39 


59.22 


9.64 


59.18 


&.90 


59.13 


10.16 


60 
61 


60.25 


9.-54 


60.21 


9.81 


60.16 


10.07 


60.12 


10.33 


63 


61.24 


9.70 


61.19 


9.97 


61.15 


10.23 


61.10 


10.. 50 


63 


63 


62.22 


9.86 


62.18 


10.13 


62.14 


10.40 


62.09 


10.67 


C3 


64 


63.21 


10.01 


63.17 


10.29 


63.12 


10.56 


63.08 1 10.84 


64 


65 


64.30 


10.17 


64.15- 


10.45 


64.11 


10.73 


64.06 11.01 


65 


66 


65.19 


10.32 


65.14 


10.61 


65.09 


10.89 


65.05 11.18 


66 


67 


66.18 


10.48 


66.13 


10.77 


66.08 


11.06 


66.03 


11.35 


67 


68 


67.16 


10.64 


67.12 


10.93 


67.07 


11.22 


67.02 


11.52 


68 


69 


68.15 


10.79 


68.10 


11.09 


68.05 


11.39 


68.00 


11.69 


69 


70 

71 


69.14 
70.13 


10.95 
11.11 


69.09 


11.25 


69.04 


11.55 


68.99 


11.85 
12.02 


70 
71 


70.08 


11.41 


70.03 


11.72 


69.97 


72 


71.11 


11.26 


71.06 


11.57 


71.01 


11.88 


70.96 


12.19 


72 


73 


72.10 


11.42 


72.05 


11.73 


72.00 


12.05 


71.95 


12.36 


73 


74 


73.09 


11.58 


73.04 


11.89 


72.99 


12.21 


72.93 


12.53 


74 


75 


74.08 


11.73 


74.02 


12.06 


73.97 


12.. 38 


73.92 


12.70 


75 


76 


75.06 


11.89 


75.01 


12.22 


74.96 


12.54 


174.90 


12.87 


76 


77 


76.05 


12.05 


76.00 


12.38 


75.94 


12.71 


'75.89 


13.04 


77 


78 


77.04 


12.20 


76.99 


12.54 


76.93 


12.87 


j 76.87 


13.21 


78 


79 


78.03 


12.36 


77.97 


12.70 


77.92 


13.04 


77.86 


13.38 


79 


80 

81 


79.02 


12.51 


78.96 


12.86 
13.02 


78.90 


13.20 


78.84 
79.83 


13.55 
13.72 


80 
81 


80.00 


12.67 


79.95 


79.89 


13.37 


82 


80.99 


12.83 


80.93 


13.18 


80.88 


13.53 


180.82 


13.-89 


82 


S'4 


81.98 


12.98 


81.92 


13.34 


81.86 


13.70 


81.80 


14.06 


83 


84 


82.97 


13.14 


82.91 


13.50 


82.85 


13.86 


; 82.79 


14.23 


84 


85 


83.95 


13.30 


83.89 


13.66 


83.83 


14.03 


183.77 


14.39 


85 


86 


84.94 


13.45 


84.88 


13.82 


84.82 


14.19 


184.76 


14.56 


86 


87 


85.93 


13.61 


85.87 


13.98 


85.81 


14.36 


85.74 


14.73 


87 


88 


86.92 


13.77 


86.86 


14.15 


186.79 


14.. 52 


'86.73 


14.90 


88 


89 


87.90 


13.92 


87.84 


14.31 


187.78 


14.69 


187.71 


15.07 


89 


90 
91 


88.89 


14.08 


88.83 
89.82 


14.47 
14.63 


1 88.77 


14.85 


188.70 


15.24 


90 
91 


89.88 


14.24 


89.75 


15.02 


189.69 


15.41 


92 


90.87 


14.39 


90.80 


14.79 


90.74 


15.18 


90.67 


15.58 


92 


93 


91.86 


14.55 


91.79 


14.95 


91.72 


15.35 


91.66 


15.75 


93 


94 


92.84 


14.70 


92.78 


15.11 


92.71 


15.51 


92.64 


15.92 


94 


95 


93.83 


14.86 


93.76 


15.27 


93.70 


15.68 


93.63 


16.09 


95 


96 


94.82 


15.02 


94.75 


15.43 


94.68 


15.84 


94.61 


16.26 


96 


97 


95.81 


15.17 


95.74 


15.59 


95.67 


16.01 


96.60 


16.43 


97 


. 98 


96.79 


15.33 


96.73 


15.75 


96.66 


16.17 


96.58 


16.60 


98 


99 


1 97.78 


15.49 


97.71 


15.91 


97.64 


16.34 


97.57 


16.77 


99 


100 

i 

a 

w 

Q 


198.77 


15.64 


98.70 


16.07 


98.63 


16.50 


98.56 


16.93 


100 

c 

ei 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


81 Deg. 


801 Deg. 


■ 


80i Deg. 



iBAVEiJSi: TA'iiLE. 



o 

5' 
. g 

P 

1 


10 


Deg. 


m 


Deg. 


Ij m 


Deg. 


101 Deg. 


5' 

s 
o 
o 

i 


Lat. 


Dep. 


\ Lat. 


Dep. 


1 Lat. 


Dep. 


Lat. 


Dep. 


! 0.98 


0.17 


0.98 


0.18 


0.98 


0.18 


0.98 


0.19 


2 


! 1.97 


0.35 


1.97 


0.36 


1.97 


0.36 


1.96 


0..37 


2 


3 


j 2.95 


0.52 


2.95 


0.53 


2.95 


0.55 


2.95 


0..56 


3 


4 


! 3.94 


0.69 


3.94 


0.71 


3.93 


0.73 


3.93 


0.75 


4 


5 


! 4.92 


0.87 


4.92 


I 0.89 


4.92 


0,91 


4.91 


0.93 


5 


6 


j 5.91 


1.04 


5.90 


1 1.07 


5.90 


1.09 


5.89 


1.12 


6 


7 


6.89 


1.22 


6.89 


1.25 


6.88 


1.28 


6.88 


1.31 


7 


8 


' 7.88 


1.39 


7.87 


1.42 


7.87 


1.46 


7.86 


1.49 


8 


9 


8.86 


1.56 


8.86 


1.60 


8.85 


1.64 


8.84 


1.68 


9 


10 
11 


9.85 
10.83 


1.74 
1.01 


9.84 


1.78 


9.83 


1.82 


9.82 


1.87 


10 
11 


10.82 


1.96 


10.82 


2.00 


10.81 


2.05 


12 


11.82 


2.08 


11.81 


2.14 


11.80 


2.19 


11.79 


2.24 


^9, 


IS 


12.80 


2.26 


12.79 


2.31 


12.78 


2.37 


12.77 


2.42 


13 


14 


13.79 


2.43 


13.78 


2.49 


13.77 


2.55 


13.75 


2.61 


14 


15 


14.77 


2.60 


14.76 


2.67 


14.75 


2.73 


14.74 


2.80 


15 


m 


15.76 


2.78 


15.74 


2.85 


15.73 


2.92 


15.72 


2.98 


16 


17 


16.74 


2.95 


16.73 


3.03 


16.72 


3.10 


16.70 


3.17 


17 


18 


17.73 


3.13 


lV.71 


3.20 


17.70 


3.28 


17.68 


3.36 


18 


19 


18.71 


3.30 


18.70 


3.38 


18.68 


3.46 


18.67 


3.54 


19 


20 

21 


19.70 


3.47 


19.68 


3.56 


19.67 


3.64 


19.65 


3.73 


20 

21 


20.68 


3.65 


20.66 


3.74, 


20.65 


3.83 


20.63 


3.92 


22 


21.67 


3.82 


21.65 


3.91 


21.63 


4.01 


21.61 


4.10 


22 


23 


22.65 


3.99 j 
4.17 


22.63 


4.09 i 


22.61 


4.19 


22.60 


4.29 


23 


24 


23.64 


.23.62 


4.27 i 


23.60 


4.37 


23.58 


4.48 


24 


25 


24.62 


4.34 


' 24.60 


4.45 i 


24.58 


4.56 


24.56 


4.66 


25 


26 


25.61 


4.51 


25.59 


4.63 j 


25.56 


4.74 


25.54 


4.85 


26 


27 


26.59 


4.69 


26.57 


4.80 


26.55 


4.92 


26.53 


5.04 


27 


28 


27.57 


4.86 


27.55 


4.98 


27.53 


5.10 


27.51 


5.22 


28] 


29 


28.56 


5.04 


28.54 


5.16 


28.51 


5.28 


28.49 


5.41 


29 


30 
31 


29.54 


5.21 


29.52 


5.34 


29.50 


5.47 


29.47 


5.60 


30 

31 


30.53 


5.38 


30.51 


5.52i 


30.4-8 


5.65 


30.46 


5.78 


32 


31.51 


5.56 


31.49 


5.69 


31.46 


5.83 


31.44 


5.97 


32 


33 


32.50 


5.73 


32.47 


5.87 


32.45 


6.01 


32.42 


6.16 


33 


34 


33.48 


5.90 


33.46 


6.05 


33.43 


6.20 


33.40 


6.34 


34 


35 


34.47 


6.08 


34.44 


6.23 


34.41 


6.38 


34.39 


6.53 


,35 


36 


35.45 


6.25 


35.43 


6.411 


35.40 


6.56 


35.37 


6.71 


36 


37 


36.44 


6-42 


36.41 


6.58 


36.38 


6.74 


36.35 


6.90 


37 


38 


37.42 


6.60 


37.39 


6.76 1 


37.36 


6.92 


37.33 


7.09 


38 


39 


38.41 


6.77 


38.38 


6.941 


38.35 


7.11 


38.32 


7.27 


39 


40 
41 


39.39 


6.95 


39.36 


7.12i 


39.33 


7.29 


39.30 


7.46 


40 
41 


40.38 


7.12 


40.35 


7.30 1 


40.31 


7.47 


40.28 


7.65 


42 


41.36 


7.29 


41.33 


7.47 1 


41.30 


7.65 


41.26 


7.83 


42 


43 


42.35 


7.47 


42.31 


7.65 


42.28 


7.84 


42.25 


8.92 


43 


44 


43.33 


7.64 


43.30 


7.83 


43.26 


8.02 


43.23 


8.21 


U 


45 


44.32 


7.-81 


44.28 


8.01 


44.25 


8.20 


44.21 


8.39 


45 


46 


45.30 


7.99 


45.27 


8.191 


45.23 


8.38 


45.19 


8,58 


46 


47 


46.29 


8.16 


46.25 


8.36 


46.21 


8.57 


46.18 


8.77 


47 


48 


47.27 


8.34 


-47.23 


8.54 


47.20 


8.75 


47.16 


8.95 


48 


49 


48.26 


8.51 


48.22 


8.72 


48.18 


8.93 


48.14 


9.14 


49 


_50 

• § 


49.24 


8.68 


49.20 


8.90 


49.16 


9.11 


49.12 


9.33 


50 

o 
o 

a 

ej 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


801 


3eg. 


79i Deg. 


•791 


Deg. 


7941 


Deg. 



TRAVERSE TABLE. 



2S 



o 

1 

? 

51 


10 Deg. 


1 
lOi Deg. 


lOi Deg. 


10| Deg. 


D 

60 

51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


50.23 


8.86 


50.19 


9.08 


50.15 


9.29 


.50.10 


9.51 


52 


51.21 


9.03 


51.17 


9.25 


51.13 


9.48 


51.09 


9.70 


52 


53 


52.19 


9.20 


52.15 


9.43 


.52.11 


9.66 


52.07 


9.89 


53 


54 


53.18 


9.38 


53.14 


9.61 


53.10 


9.84 


53.05 


10.07 


54 


55 


54.16 


9.55 


54.12 


9.79 


54.08 


10.02 


54.03 


10.26 


55 


50 


55.15 


9.72 


55.11 


9.96 


55.06 


10.21 


55.02 


10.45 


56 


57 


56.13 


9.90 I 


56.09 


10.14 


56.05 


10.39 


56.00 


10.63 


57 


58 


57.12 


10.07 


57.07 


10.32 


57.03 


10.57 


56.98 


10.82 


58 


59 


58.10 


10,25 


58.06 


10.50 


58.01 


10.75 


57.96 


11.00 


59 


60 
61 


59.09 


10.42 


59.04 


10.68 


59.00 


10.93 


58.95 


11.19 


60 


60.07 


10.59 


60.03 


10.85 


59.98 


11.12 


59.93 


11.38 


61 


62 


61.06 


10.77 


61.01 


11.03 


60.96 


11.30 


60.91 


11.56 


62 


63 


62.04 


10.94 


61.99 


11.21 


61.95 


11.48 


61.89 


11.75 


63 


61 


63.03 


11.11 


62.98 


11.39 


62.93 


11.66 


62.88 


11.94 


64 


65 


64.01 


11.29! 


63.96 


11.57 


63.91 


11.85 


63.86 


12.12 


65 


66 


65.00 


11.46 


64.95 


11.74 


64.89 


12.03 


64.84 


12.31 


66 


67 


65.98 


11.63 


65.93 


11.92 


65.88 


12.21 


65.82 


12.50 


67 


68 


66.97 


11.81 


66.91 


12.10 


66.86 


12.39 


66.81 


12.68 


68 


69 


67.95 


11.98 


67.90 


12.28 


67.84 


12.57 


67.79 


12.87 


69 


70 

71 


68.94 


12.16 


68.88 


12.46 


68.83 


12.76 


68.77 


13.06 


_70 

71 


69.92 


12.33 


69.87 


12.63 


69.81 


12.94 


69.75 


13.24 


72 


70.91 


12.50 


70.85 


12.81 


70.79 


13.12 


70.74 


13.43 


72 


73 


71.89 


12.68 


71.83 


12.99 


71.78 


13.30 


71.72 


13.62 


73 


74 


72.88 


12.85 


72.82 


13.17 


72.76 


13.49 


72.70 


13.80 


74 

75 


75 


73.86 


13.02 


73.80 


13.35 


73.74 


13.67 


73.68 


13.99 


76 


74.85 


13.20 


74.79 


13.52 


74.73 


13.85 


74.67 


14.18 


76 


77 


75.83 


13.37 


75.77 


13.70 


75.71 


14.03 


75.65 


14.36 


77 


78 


76.82 


13.54 


76.76 


13.88 


76.69 


14.21 


76.63 


14.55 


78 


79 


77.80 


13.72 


77.74 


14.06 


77.68 


14.40 


77.01 


14.74 


79 


80 
81 


78.78 


13.89 


78.72 


14.24 


78.66 


14.58 


78.60 


14.92 


80 
"81 


79.77 


14.07 


79.71 


14.41 


79.64 


14.76 


79.58 


15.11 


82 


80.75 


14.24 


80.39 


14.59 


80.63 


14.94 


80.56 


15.29 


82 


83 


81.74 


14.41 


81.68 


14.77 


81.61 


15.13 


81.54 


15.48 


83 


84 


82.72 


14.59 


82.66 


14.95 


82.59 


15.31 


82.53 


15.67 


84 


85 


83.71 


14.76 


83.64 


15.13 


83.58 


15.49 


83.51 


15.85 


85 


86 


84.69 


14.93 


84.63 


15.30 


84.56 


15.67 


84.49 


16.04 


86 


87 


85.68 


15.11 


85.61 


15.48 


85.. 54 


15.85 


85.47 


16.23 


87 


88 


86.66 


15.28 


86.60 


15.68 


86.53 


16.04 


86.46 


16.41 


88 


89 


87.65 


15.45 


87.. 58 


15.84 


87.51 


16.22 


87.44 


16.60 


89 


90 
91 


88.63 


15.63 


88.56 


16.01 


88.49 


16.40 


88.42 


16.79 


90 


89.62' 15.80 


89.55 


16.19 


89.48 


16.58 


89.40 


16.97 


91 


92 


90.60 15.98 


90.53 


16.37 


90.46 


16.77 


90.39 


17.161 92| 


93 


91.59 16.15 


91.52 


16.55 


91.44 


16.95 


91.37 


17.35 


93 


94 


92.57 1 16.32 


92.50 


16.73 


92.43 


17.13 


92.35 


17.53 


94 


95 


93.56 116.50 


93.48 


16.90 


93.41 


17.31 


93.33 


17.72 


95 


96 


94.54 1 16.67 


94.47 17.08 


94.39 


17.49 


94.32 


17.91 


96 


97 


95.53 1 16.84 


95.45 1 17.26 


95.38 


17.68 


95.30 


18.09 


97 


98 


9G.51 


17.02 


96.44 17.44 


96.36 


17.86 


96.28 


18.28 


98 


99 


97.50 


17.19 


97.42 17.62 


97.34 


18.04 


97.26 


18.47 


99 


100 

i 

1 


98.48 


17.36 


98.40 ! 17.79 


98.33 


18.22 


98.25 


18.65 
Lat. 


100 

6 
o 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


80 Deg. 


7a| Deg. 


79i Deg. 


79i Deg. 



24- 



TRAVERSE TABLE, 



1 

o 
a 

1 


11 Deg. 


m Deg. 


lli 


Deg. 


Ill Deg. 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep, 


0.98 


0.19 


0.98 


0.20 


0.98 


0.20 


0.98 


0.20 


1 


2 


1.96 


0.38 


1.96 


0.39 1 


1.96 


0.40 


1.96 


0.41 


2 


3 


2.94 


0.57 


2.94 


0.59 


2.94 


0.60 


2.94 


0.61 


3 


4 


3.93 


0.76 


3.92 


0.78 


3.92 


0.80 


3.93 


0.82 


4 


5 


4.91 


0.95 


4.90 


0.98 


4.90 


1.00 


4.90 


1.02 


5 


6 


5.89 


1.14 


5.88 


1.17 


5.88 


1.20 


5.87 


1.22 


6 


7 


6.87 


1.34 


6.87 


1.37 


6.86 


1.40 


6.85 


1.43 


7 


8 


7.85 


1.53 


7.85 


1.56 


7.84 


1.59 


7.83 


1.63 


8 


9 


8.83 


1.72 


8.83 


1.76 


8.82 


1.79 


8.81 


1.83 


9 


10 

n 


9.82 


1.91 


9.81 


1.95 


9.80 


1.99 


9.79 


2.04 


10 


10.80 


2.10 


10.79 


2.15 


10.78 


2.19 


10.77 


2.24 


11 


13 


11.78 


2.29 


11.77 


2.34 


11.76 


2.39 


11.75 


3.44 


12 


13 


12.76 


2.48 


12.75 


3.54 


12.74 


2.59 


12.73 


2.65 


13 


14 


13.74 


2.67 


13.73 


2.73 


13.72 


2.79 


13.71 


3.85 


14 


15 


14.72 


2.86 


14.71 


2.93 


14.70 


2.99 


14.69 


3.06 


15 


1« 


15.71 


3.05 


15.69 


3.12 


15.68 


3.19 


15.66 


3.36 


16 


17 


16.69 


3.24 


16.67 


3.32 


16.66 


3.39 


16.64 


3.46 


17 


18 


17.67 


3.43 


17.65 


3.51 


17.64 


3.59 


17.62 


3.66 


18 


19 


18.65 


3.63 


18.63 


3.71 


18.62 


3.79 


18.60 


3.87 


19 


20 


19.63 


3.82 


19.62 


3.90 


19.60 


3.99 


19.58 


4.07 


20 


21 


20.61 


4.01 


20.60 


4.10 


20.58 


4.19 s 
4.39 


20.. 56 


4.38 


21 


■ 22 


21.60 


4.20 


21.58 


4.29 


21.56 


21.54 


4.48 


22 


23 


22.58 


4.39 


22.56 


4.49 


22.54 


4.59 


22.52 


4.68 


23 


24 


23.56 


4.58 


23.54 


4.68 


23.52 


4.78 1 


23.50 


4.89 


24 


25 


24.54 


4.77 


24.53 


4.88 


24.50 


4.98 


24.48 


5.09 


25 


26 


25.52 


4.96 


25.50 


5.07 


25.48 


5.18! 


25.46 


5.30 


26 


27 


26.50 


5.15 


26.48 


5-. 27 


26.46 


5.38 1 


26.43 


5.. 50 


27 


28 


27.49 


5.34 


27.46 


5.46 


27.44 


5.58 


27.41 


5.70 


28 


29 


38.47 


5.53 


28.44 


5.66 


28.42 


5.78 


28.39 


5.91 


29 


30 
31 


29.45 


5.72 


29.42 


5.85 


29.40 


5.98 


29.37 


6.11 


30 


30.43 


5.92 


30.40 


6.05 


30.38 


.6.18 


30.35 


6.31 


31 


32 


31.41 


6.11 


31.39 


6.24 


31.36 


6.38 


31.33 


6.53 


32 


33 


32.39 


6.30 


32.37 


6.44 


32.34 


6.58 


32.31 


6.72 


33 


34 


33.38 


6.49 


33.35 


6.63 


33.32 


6.78 


33.29 


6.92 


34 


35 


34.36 


6.68 


34.33 


6.83 


34.30 


6.98 


34.27 


7.13 


35 


36 


35.34 


6.87 


35.31 


7.02 


35.38 


7.18 


35.25 


7.33 


36 


37 


36.33 


7.08 


36.29 


7.22 


36.36 


7.38 


30.22 


7.53 


37 


38 


37.30 


7.25 


37.27 


7.41 


37.34 


7.58 


.37.20 


7.74 


38 


^ 39 


38.38 


7.44 


38.35 


7.61 


38.33 


7.78 


38 . 18 


7.94 


39 


40 


39.37 


7.63 


39.33 


7.80 


39.20 


7.97 


39.16 


8.15 


40 


41 


40.25 


7.82 


40.21 


8.00 


40.18 


8.17 


40.14 


8.35 


41 


42 


41.23 


8.01 


41.19 


8.19 


41.16 


8.37 


41 . 12 


8.55 


42 


43 


42.31 


8.20 


42.17 


8.39 


42.14 


8.57 


42.10 


8.76 


43 


44 


43.19 


8.40 


43.15 


8.. 58 


43.12 


8.77 


43.08 


8.96 


44 


45 


44.17 


8.59 


44.14 


8.78 


44.10 


8.97 


44.06 


9.16 


45 


46 


45.15 


8.78 


45.12 


8.97 


45.08 


9^.17 


45.04 


9.37 


46 


47 


46.14 


8.97 


46.10 


9.17 


46.06 


9.37 


146.02 


9.57 


47 


48 


47.12 


9.16 


47.08 


9.36 


47.04 


9.57 


46.99 


9.78 


48 


49 


48.10 


9.35 


48.06 


9.56 


48.02 


9.77 


47.97 


9.98 


49 


50 


49.08 


9.54 


49.04 


9.75 


49.00 


9.97 


48.95 


10.18 


50 


6 
o 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


g 

.2 
Q 


i 

79 Deg. 


781 Deg. 


'H 


Deg. 


78i Deg. 



TRAVERSE TA^LE. 





11 Deg. 


lli Deg. 


Hi Deg. 


Ill Deg, 


5 

o 
a 






Lat. 1 Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


j Dep. 




50.06 1 9.73 


50.02 


9.95 


49.98 


10.17 


49.93 


10.39 


~51 




52 


51.04! 9.92 


51.00 


10.14 


50.96 


10.37 


50.91 


10.59 


52 




53 


52.03! 10.11 


51.98 


10.34 


51.94 


10.57 


51.89 


10.79 


53 




54 


53.01 i 10.30 


52.96 


10.. 53 


52.92 


10.77 


52.87 


11.00 


54 




55 


53.99 I 10.49 


53.94 


10.73 


53.90 


10.97 


53.85 


11.20 


65 




56 


54.97 


10.69 


54.92 


10.93 


54.88 


11.16 


54.83 


11.40 


56 




57 


55.95 


10.88 


55.90 


11.12 


55.86 


11.36 


55.81 


11.61 


57 




58 


56.93 


11.07 


56.89 


11.32 


56.84 


11.56 


56. 7S 


11.81 


58 




59 


57.92 


11.26 


57.87 


11.51 


57.82 


11.76 


57.76 


12.01 


59 




60 
61 


58.90 


11.45 


58.85 


11.71 


58.80 
59.78 


11.96 
12.16 


58.74 


12.22 


60 




59.88 1 11.64 


59.83 


11.90 


59.72 


12.42 


61 




62 


60.86 


11.83 


60.81 


12.10 


60.76 


12.36 


60.70 


12.63 


62 




63 


61.84 


12.02 


61.79 


12.29 


61.74 


12.56 


61.68 


12.83 


63 




64 


62.82 


12.21 


62.77 


12.49 


62.72 


12.76 


62.66 


13.03 


64 




65 


63.81 


12.40 


63.75 


12.68 


63.70 


12.96 


63.64 


13.24 


65 




66 


64.79 


12.59 


64.73 


12.88 


64.68 


13.16 


64.62 


13.44 


66 




67 


65.77 


12.78 


65.71 


13.07 


65.66 


13.36 


65.60 


13.64 


67 




-68 


66 . 75 


12.98 


66.69 


13.27 


66.63 


13.56 


66.58 


13.85 


68 




69 


67.73 


13.17 


67.67 


13.46 


67.61 


13.76 


67.55 


14.05 


69 




70 

71 


68.71 


13.36 


68.66 


13.66 


6S.59 


13.96 


68.53 


14.25 


70 




69.70 


13.55 


69.64 


13.85 


69.57 


14.16 


69.51 


14.46 


71 




72 


70.68 


13.74 


70.62 


14.05 


70.55 


14.35 


70.49 


14.66 


72 




73 


71.66 


13.93 


71.60 


14.24 


71.53 


14.55 


71.47 


14.87 


73 




74 


72.64 


14.12 


72.58 


14.44 


72.51 


14.75 


72.45 


15.07 


74 




75 


73.62 


14.31 


73.56 


14.63 


73.49 


14.95 


73.43 


15.27 


75 




76 


74.60 


14.50 


74.54 


14.83 


74.47 


15.15 


74.41 


15.48 


76 




77 


75.59 


14.69 


75.52 


15.02 


75.45 


15.35 


75.39 


15.68 


77 




78 


76.57 


14.88 


76.50 


15.22 


76.43 


15.55 


76.37 


15.88 


78 




79 


77.55 


15.07 


77.48 


15.41 


77.41 


15.75 


77.34 


16.09 


79 




80 

81 


78.53 


15.26 


78.46 


15.61 1 


78.39 


15.95 


78.32 


16.29 


80 




79.51 


15.46 


79.44 


15.80 i 


79.37 


16.15 


79.30 


16.49 


81 




82 


80.49 


15.65 


80.42 


16.00 i 


80.35 


16.35 


80.28 


16.70 


82 




83 


81.48 


15.84 


81.41 


16.19! 


81.33 


16.55 


81.26 


16.90 


83 




84 


82.46 


16.03 


82.39 


16.39 


82.31 


16.75 


82.24 


17.11 


84 




85 


83.44 


16.22 


83.37 


16.58 


83.29 


16.95 


83.22 


17.31 


85 




86 


84.42 


16.41 


84.35 


16.78 


84.27 


17.15 


84.20 


17.51 


86 




87 


85.40 


16.60 


85.33 


16.97 


85.25 


17.35 


85.18 


17.72 


87 




88 


86.38 


16.79 


86.31 


17.17 


86.23 


17.54 


86.16 


17.92 


88 




89 


87.36 


16.98 


87.29 


17.36 


87.21 


17.74 


87.14 


18.12 


89 




90 
-91 


88.35 


17.17 


88.27 


17.56 j 


88.19 


17.94 


88.11 


18.33 


90 




89.33 


17.36 


89.25 


17.75 


89.17 


18.14 


89.09 


18.53 


91 




'■ 92 


90.31 


17.55 


90.23 


17.95 


90.15 


18.34 


90.07 


18.74 


92 




93 


91.29 


17.75 


91.21 


18.14 


91.13 


18.54 


91.05 


18.94 


93 




94 


92.27 


17.94 


92.19 


18.34! 


92.11 


18.74 


92.03 


19.14 


94 




95 ; 


93.25 


18.13 


93.17 


18.53! 


93.09 


18.94 


93,01 


19.35 


95 




96 ' 


94.24 


18.32 


94.16 


18.73 i 


94.07 


19.14 


93.99 


19.55 


96 




97! 


95.22 


18.51 


95.14 


18.92 i 


95.05 


19.34 


94.97 


19.75 


97 




98 


96.20 


18.70 


96.12 


19.13! 


96.03 


19.54 


95.95 


19.96 


98 




99 


97.18 


18.89 


97.10 


19.31 jj 


97.01 


19.74 


96.93 


20.16 


99 




100 

a 

« 


98.16 
Dep. 


19.08 


98.08 


19.51 ! 


97.99 


19.94 


97.90 


20.36 


100 




Lat. 


Dep. 


Lat. 1 


Dep. 


Lat. 


Dep. 


Lat. 


1 

.2 
Q 




79 De^. 


. 781 Deg. 1 


78i] 


Oeg. 


7.8i Deg. 





26 



TttAVEESE TABLE. 



p 


12 Deg. 


124 Deg. 


12^ 


Deg. 


12| Deg. 


5 

i 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 
0.98 


Dep. 


Lat. 


Dep. 


1 


0.98 


0.21 


0.98 


0.21 


0.22 


0.98 


0.22 


1 


2 


1.96 


0.42 


1.95 


0.42 


1.95 


0.43 


1.95 


0.44 


2 


;? 


2.93 


0.62 


2.93 


0.64 


2.93 


0.65 


2.93 


0.66 


3 


4 


3.91 


0.83 


3.91 


0.85 


3.91 


0.87 


3.90 


0.88 


4 


5 


4.89 


1.04 


4.89 


1.06 


4.88 


1.08 


4.88 


1.10 


5 


6 


5.87 


1.25 


5.86 


1.27 


5.86 


1.30 


5.85 


1.32 


6 


/ 


6.85 


1.46 


6.84 


1.49 


6.83 


1.52 


6.83 


1.54 


7 


8 


7.83 


1.66 


7.82 


1.70 


7.81 


1.73 


7.80 


1.77 


8 


9 


8.80 


1.87 


8.80 


1.91 


8.79 


1.95 


8.78 


1.99 


9 


10 
11 


9.78 


2.08 


9.77 


2.12 


9.76 


2.16 


9.75 


2.21 


10 


10.76 


2.29 


10.75 


2.33 


10.74 


2.38 


10.73 


2.43 


11 


13 


11.74 


2.49 


11.73 


2.55 


11.72 


2.60 


11.70 


2.65 


13 


13 


12.72 


2.70 


12.70 


2.76 


12.69 


2.81 


12.68 


2.87 


13 


14 


13.69 


2.91 


13.68 


2.97 


13.67 


3.03 


13.65 


3.09 


14 


15 


14.67 


3.12 


14.66 


3.18 


14.64 


3.25 


14.63 


3.31 


15 


16 


15.65 


3.33 


15.64 


3.39 


15.62 


3.46 


15.61 


3.53 


16 


17 


16.63 


3.53 


16.61 


3.61 


16.60 


3.68 


16.58 


3.75 


17 


18 


17.61 


3.74 


17.59 


3.82 


17.57 


3.90 


17.56 


3.97 


18 


19 


18.58 


3.95 


18.57 


4.03 


18.55 


4.11 


18.53 


4.19 


19 


20 
21 


19.56 


4.16 


19.54 


4.24 


19.53 


4.33 


19.51 


4.41 


20 


20.54 


4.37 


20.52 


4.46 


20.50 


4.55 


20.48 


4.63 


21 


22 


21.52 


4.57 


21.50 


4.67 


21.48 


4.76 


21.46 


4.86 


22 


23 


22.50 


4.78 


22.48 


4.88 


22.45 


4.98 


22.43 


5.08 


23 


24 23.48 


4.99! 


23.45 


5.09 


23.43 


5.19 


23.41 


5.30 


24 


25 24.45 


5.20 i 


24.43 


5.30 


24.41 


5.41 


24.38 


5.52 


25 


26 25.43 


5.41 1 


25.41 


5.52! 


25.38 


5.63 


25.36 


5.74 


26 


27 


26.41 


5.61 ; 


26.39 


5.73! 


26.36 


5.84 


26.33 


5.96 


27 


28 


27.39 


5.82 


27.36 


5.94 


27.34 


6.06 


27.31 


6.18 


28 


29 


28.37 


6.03 


28.34 


6.15 


28.31 


6.28 


28.28 


6.40 


29 


30 


29.34 


6.24 


29.. 32 


6.37 


29.29 


6.49 


29.26 


6.62 


30 


31 


30.32 


6.45 j 


30.29 


6.58 


30.27 


6.71 


30.24 


6.84 


31 


32 


31.30 


6.65 1 


31.27 


6.79 


31.24 


6.93 


31.21 


7.06 


32 


33 


.32.28 


6.86! 


.32.25 


7.00 


32.22 


7.14 


32.19 


7.28 


33 


34 


.33.26 


7.07 


33.23 


7.21 


33.19 


7.36 


33.16 


7.50 


34 


35 


34.24 


7.28 


34.20 


7.43 


34.17 


7.58 


34.14 


7.72 


35 


36 


35.21 


7.48 


35.18 


7.64 


35.15 


7.79 


35.11 


7.95 


36 


37 


36.19 


7.69 


36.16 


7.85 


36.12 


8.01 


36.09 


8.17 


37 


38. 


37.17 


7.90 


37.13 


8.06 


37.10 


8.22 


37.06 


8.39 


38 


39 138.15 


8.11 


38.11 


8.27 


38.08 


8.44 


38.04 


8.61 


39 


40 


39.13 


8.32 


39.09 


8.49 


39.05 


8.66 


39.01 


8.83 


40 
41 


41 


40.10 


8.52 


40.07 


8.70 


40.03 


8.87 


39.99 


9.05 


42 


41. OS 


8.73 


41.04 


8.91 


41.00 


9.09 


40.96 


9.27 


42 


43 


42.06 


8.94 


42.02 


9.12 


41.98 


9.31 


41.94 


9.49 


43 


44 


43.04 


9.15 


43.00 


9.34 


42.96 


9.52 


42.92 


9.71 


44 


45 


44.02 


9.36 


43.98 


9.55 


43.93 


9.74 


43.89 


9.93 


45 


46 


44.99 


9.56 


44.95 


9.76 


44.91 


9.96 


44.87 


10.15 


46 


47 


45.97 


9.77 


45.93 


9.97 


45.89 


10.17 


45.84 


10.37 


47 


48 


46.95 


9.98 


46.91 


10.18 


46.86 


10.39 


46.82 


10.59 


48 


49 


47.93 


10.19 


47.88 


10.40 


47.84 


10.61 


47.79 


10.81 


49 


50 


48.91 


10.40 


48.86 


10.61 


48.81 


10.82 


48.77 


11.03 


50 


c5 
c 

1 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 

.3 

Q 


1 78] 

! 


Deg. 


771 


Deg. 


77^ 


Deg. 


77i Deg. 



TRAVEHSE TABLE. 



2.7 



p 

61 


12 Deg. 


m DBg. 


1 la^Deg. 


121 Deg. 


s 

P 


s 


Lat. 


Dep. 


Lat. 


Dep 


Lat. 


Dep. 


Lat. 


Dep. 


3 

9 
"51 




49.89 


10.00 


49.84 


10.82 


49.79 


11.04 


49.74 


11.26 




52 


50.86 


10.81 


50.82 


11.03 


50.77 


11.25 


50.72 


11.48 


52 




53 


51.84 


11.02 


51.79 


11.26 


51.74 


11.47 


61.69 


11.70 


63 




54 


52.82 


11.23 


62.77 


11.46 


62.72 


U.69 


62.67 


11.92 


54 




55 


53.80 


11.44 


63.75 


11.67 


63.70 


11.90 


53.64 


12.14 


55 




56 


54.78 


11.64 


54.72 


11.88 


64.67 


12.12 


54.62 


12.36 


56 




57 


55.75 


11.85 


55.70 


12.09 


65.65 


12.34 


56.69 


12.58 


57 




58 


56.73 


12.06 


56.68 


12.31 


56.63 


12.55 


56.57 


12.80 


58 




59 


57.71 


12.27 


57.66 


12.62 


67.60 


12.77 


57.66 


13.02 


59 




60 
61 


58.69 


12.47 


58.63 
59.61 


12.73 


68.68 


12.99 


58.52 


13.24 
13.46 


60 
61 




59.67 


12.68 


12.94 


59.56 


13.20 


59.50 




62 


60.65 


12.89 


60.59 


13.16 


60.63 


13.42 


60.47 


13.68 


62 




63 


61.62 


13.10 


61.57 


13.37 


61.51 


13.64 


61.45 


13.90 


63 




64 


62.60 


13.31 


62.54 


13.68 


62.48 


13.85 


62.42 


14.12 


64 




65 


63.68 


13.61 


63.52 


13.79 


63.46 


14.07 


63.40 


14.35 


65 




66 


64.66 


13.72 


64.50 


14.00 


64.44 14.29 


64.37 


14.67 


06 




67 


65.54 


13.93 


66.47 


14.22 


66.41 


14.50 


66.35 


14.79 


67 




68 


66.51 


14.14 


66.45 


14.43 


66.39 


14.72 


66.32 


15.01 


68 




69 


67.49 


14.35 


67.43 


14.64 


67.36 


14.93 


67.30 


15.23 


6£^ 




70 

71 


68.47 


14.55 


68,41 


14.85 


68.34 


15,15 


68.27 


15.45 


70 


69.45 


14.76 


69.. 38 


15.06 


69.32 


15.37 


69.25 


15.67 


71 


72 


70.43 


14.97 


70.36 


15.28 


70.29 


15.58 


70.22 


15.89 


72 


73 


71.40 


16.18 


71.34 


15.49 


71.27 


15.80 


71.20 


16.11 


73 




74 


72.38 


15.39 


72.32 


16.70 


72.26 


16.02 


72.18 


16.33 


74 




75 


73.36 


15.59 


73.29 


16.91 


73.22 


16.23 


73.15 


16.55 


75 




76 


74.34 


15.80 


74.27 


16.13 


74.20 


16.46 


74.13 


16.77 


76 




77 


75.32 


16.01 


76.25 


16.34 


75.17 


16.67 


75.10 


16.99 


77 




78 


76.30 


16.22 


76.22 


16.66 


76.16 


16.88 


76.08 


17.21 


78 




79 


77.27 


16.43 


77.20 


16.76 


77.13 


17.10 


77.05 


17.44 


79 




'80 

81 


78.25 


16.63 


78.18 


16.97 
17.19 


78.10 


17.32 


78.03 


17.66 


80 




79.23 


16.84 


79.16 


79.08 


17.53 


79.00 


17.88 


81 




82 


80.21 


17.06 


80.13 


17.40 


80.06 


17.75 


79.98 


18.10 


82 




83 


81.19 


17.26 


81.11 


17.61 


81.03 


17.96 


80.95 


18.32 


83 




84 


82.16 


17.46 


82.09 


17.82 


82.01 


18.18 


81.93 


18.54 


84 




85 


83.14 


17.67 


83.06 


18.04 


82.99 


18.40 


82.90 


18.76 


85„ 




86 


84.12 


17.88 


84.04 


18.25 


83.96 


18.61 


83.88 


18.98 


86 




87 


85.10 


18.09 


85.02 


18.46 


84.94 


18.83 


84.85 


19.20 


87 




88 


86.08 


18.30 


86.00 


18.67 


85.91 


19.06 


85.83 


19.42 


88 




89 


87.06 


18.60 


86.97 


18.88 


86.89 


19.26 


86.81 


19.64 


89 




90 
91 


88.03 


18.71 


87.95 
88.93 


19.10 


87.87 


19.48 


87.78 


19.86 


90 




89.01 


18.92 


19.31 


88.84 


19.70 


88.76 


20.08 


91 




92 


89.99 


19.13 


89.91 


19.62 


89.82 


19.91 


89.73 


20.30 


92 




93 


90.97 


19.34 


90.88 


19.73 


90.80 


20.13 


90.71 


20.52 


9? 




94 


91.95 


19.64 


91.86 


19.94 


91.77 


20.36 


91.68 


20.75 


94 




95 


92.92 


19.75 


92.84 


20.16 


92.75 


20.56 


92.66 


20.97 


95 




96 


93.90 


19.96 


93.81 


20.37 


93.72 


20.78 


93.63 


21.19 


96 




97 


94.88 


20.17 


94.79 


20.58 


94.70 


20.99 


94.61 


21.41 


97 




98 


95.86 


20.38 


96.77 


20.79 


95.68 


21.21 


96.58 


21.63 


98 




99 


96.^4 


20.58 


96.76 


21.01 


96.65 


21.43 


96.56 


21.85 


99 




100 

© 

5 


97.81 


20.79 


97.72 


21.22 


97.63 


21.64 


97.53 


22.07 


100 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 






78 Deg. 


771 D€g 


77| Deg. 


77i Deg. 





M 



^ 



THAVERSE TABLE. 



X-.. 

p : 


13 Deg. I 


l^i Deg. 


m Deg. 


i3J Deg. 


C 


Lat. 


Dep. 


Lat.! 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0.97 


0.23 


0.9? 


0.23 


0.97 


0.23 


0.9^ 




1 


2 


1.95 


0.4c 


1.95 


0.46 


1.95 


0.47 


l.r _ 




2 


3 


2.92 


0.67 


2 . 92 


0.69 


2.92 


0.70 


2.-1 




3 


4' 


3.90 


0.90 


3.^9 


0.9-: 


3.89 


0.93 


3.89 


0.9.3; 


4 


5 


4.87 


1.12 


-i . "* 7 


1.15 


4.86 


1.17 


4.86 


1.19; 


5 


6 1 


5.85 ; 


1.35 


o!84. 


1.3S 


5 . 83 


1.40 


5.83 


1.43 


6 


7 


6.82 


1.57 


6.81 1 


1.60 


6.81 


1.63 1 


6.80 


1.66 : 


7 


8 


7.80 


1.80 


7.79 1 


1.83 


7.78 


1.87 ; 


7.77: 


1.90 


8 


9 


8.77 


2.02 


8.76 ! 


2.06 


8.75 


2.10 '■ 


8.74 


2.14 


9 


10 


9.74 


2.25 


9.73 ! 


2.29 


9.72 


2.33 


9.71 


2.38 , 


10 


11 


10.72 


2.47 


10.71 [ 


2.. 52 


-,, -,-, 


2.57 


10.68 


2.61 


11 


12 


11.69: 


2.70 


11.68 


2.75 




■: . 80 


11.66 


2.85 ! 


12 


13 


12.67- 


2.92 


12.65 


2.9S 




3.03 


12.63 


3.09 i 


13 


U 


13.64 


3.15 


13.63 


3.21 


13.01 


3.27 


13.60 


3.33 


14 


15 


14.62 


3.37 


14.60 


3.44 


14.59 


3.. 50 


14.57 


3.57 


15 


16 


15.. 59 


3.60 


15.57 


3.67 


1 .' . .5 6 


3.74 


15.54 


3.80 


16 


17 


16.57: 


3.82 


16.55 


3.90 




:-' - ^ 


1 - ': 1 


4.04 


17 


IS 


17. .54; 


4.05 


17.52 


4.i3 




-- - ', . 


1 -'- 


^.28 


18 


19 


IS. 51 


4.v;7 


18.49 


4.35 


i?.-±-^ 


-i . -i-i 


i ? . -±0 


4.52 


19 


20 


19.49 


4.. 50 
4.72 


19.47 


4.. 58 1 


19.45 
20.42 


i 4.67 
'■ 4.90 


19.43 
20.40 


4.75 
4.99 


20 
21 


•M 


20.46 


20.44 


4.81 ; 


22 


21.44j 


4.95 


21.41 


5.04 


2i..39 


1 5.14 


21.37: 


5.23 


22 


23 


22.41 i 


5.17 


22.39 


5.27 ^ 


22.36 


i 5.37 


22.34J 


5.47 


23 


24 


23.38 ! 


5.40 


23.36 


5.50 1 


23.34 


1 5.50 


23.31 


5.70 1 


24 


25 


24.36 i 


5.62 


24.33 


5.73^ 


24.31 


! 5.84 


24.28: 


5.94! 


25 


26 


25.33 


5.85 


25.31 


5.96 


25.28 


1 6.07 


25.25 


6.18; 


26 


27 


26.31 


6.07 


26.28 


6.19 


26 . 25 


6.30 


26.23 


6.42 , 


27 


2v 


27.28 


6.30 


27.25 


6.42 


27.23 


6.. 54 


27.20 


6.66 


28 


29 


23.26 


6.52 


2S.23 


6.65 


28.20 


6.77 


28.17 


6.89 


29 


30 
31 


129.23 
130.21 


6.75 
6.97 


29.20 


6.88 


29.17 
30.14 


7.00 
7.24 


29.14 
30.11 


7.13 
7.37 


30 
31 


30.17 


7.11 


32 


31.18 


7.20 


31.15 


7.33 


31.12 


i 7.47 


31. OS 


7.61 


32 


33 


'32.15 


7.42 


32.12 


7.56 


.32.09 


7.70 


32.05 


7 . S4 


33 


:34 


133.13 


7.65 


33.09 


7.79 


33.06 


; 7.94 


33.03 


-H . (") H 


34 


35 


i 34.10 


7.87 


34.07 


8.02 


34.03 


1 8.17 




S.32 


35 


36 


i35.0S 


8.10 


i 35.04 


; 8.25 


35.01 


1 8.4) 




?..56 


36 


37 


i 36.05 


8.32 


i 36.02 


8.4S 


35.98 


, 8.64 


■-.'' , .--X 


?.79 


37 


a? 


37.03 


8.55 


* 36.99 


e.71 


36.95 


i 8.87 


36.91 


9.03 


38 


39 


138.00 


8.77 


i 37.96 


\ 8.94 


J 37.92 


' 9.10 


37. SS 


9.27 


39 


40 

41 


,38.97 

139.95 


9 . 00 
9.22 


38.94 
39.91 


i 9.17 
i 9.40 


[38.89 
.'^9.87 


9.34 
9.57 


3-.^5 


9.51 
9.75 


40 

41 


3^ , '^3 


42 


140.92 


9.45 


40.88 


9.63 


i 40.84 


^ 9.80 


40. Su 


9.9S 


42 


43 


! 41.90 


9.67 


41.86 


; 9.86 


41.81 


■■ 10.04 


41.77 


10.22 


43 


44 


142.87 


9.90 


42.83 


i 19.08 


: 42.7-1 


\ 10.27 


42 . 74 


10.46 


44 


45 


143.85 


0.12 


43.80 


' iO.31 


143.73 


10.51 


43.71 


10.70 


45 


46 


44.82 


0.35 


, 44.78 


• 10. .54 


; 44.73 


10.74 


44.68 


10.93 


46 


47 


45.80 


10..: 


145.75 


1 10.77 


'4O.70 


10.9- 


45.65 


11.17 


47 


4S 


46.77 


W.80 


46.72 


11.00 


146.67 


11.21 


46.62 


11.41 


48 


49 


47.74 


11.02 


i 47.70 


1 11.23 


•47.65 


11.44 


47.60 


11.65 


49 


50 


48.72 


11.25 


J 48.67 


1 11.46 


! 48.62 
i Dep. 


11.67 
Lat. 


,i48..57 


11.88 


50 


5 

c 

.2 


I Dep. 


1 Lat. 


! Dep. 


LaL 


V Dep. 


1 Lat. 




1 

1 "' 


Deg. 


:l '61 


Deg. 


1 ^^ 


Deg. 


;, 76t 

li ^ 


Deg. 



TRAVERSE TABLE. 



29 



c 

3 

9 
"51 


13 Deg. 


13i Deg. 


13| Deg. 


131 Deg. 


1 

n 
9 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat 


Dep. 




49.69 


11.47 


49.64 


11.69 


49.59 


11.91 


49.54 


12.12 


"sI 




52 


50.67 


11.70 


50.62 


11.92 


50.56 


12.14 


50.51 


12.36 


52 




53 


61.64 


11.92 


51.59 


12.15 


51.54 


12.37 1151.48 
12.61 152.45 


12.60 


53 




54 


52.62 


12.15 


52.56 


12.38 


52.51 


12.84 


64 




55 


53.59 


12.37 


53.54 


12.61 


53.48 


12.84 i .53.42 


13.07 


55 




56 


54.66 


12.60 


54.51 


12.84 


54.46 


13.07 ! 54.40 


13.31 


56 




57 


55.54 


12.82 


55.48 


13.06 


55.43 


13.31 ' 56.37 


13.55 


57 




68 


56.51 


13.05 


56.46 


13.29 


56.40 


13.54: 56.34 


13.79 


58 




59 


57.49 


13.27 


57.43 


13.52 


57.37 


13.77 : 57.31 


14.02 


59 




60 
61 


58.46 


13.50 


58.40 


13.75 


58.34 


14.01 
14.24 


58.28 


14.26 


60 




59.44 


13.72 


59.38 


13.98 


59.31 


59.25 


14.50 


61 




62 


60.41 


13.95 


60.35 


14.21 


60.29 


14.47 60.22 


14.74 


62 




63 


61.39 


14.17 


61.32 


14.44 


61.26 


14.71 61.19 


14.97 


63 




4 


62.36 


14.40 


62.30 


14.67 


62.23 


14.94 62.17 


15.21 


64 




65 


63.33 


14.62 


63.27 


14.90 


63.20 


16.17 63.14 


16.46 


65 




66 


64.31 


14.85 


64.24 


16.13 


64.18 


15.41 64.11 


15.69 


66 




67 


65.28 


15.07 


65.22 


15.36 


65.15 


15.64 65.08 


15.93 


67 




68 


66.26 


15.. 30 


66.19 


16.59 


66.12 


15.87 66.05 


16.16 


68 




69 


67.23 


15.. 52 


67.16 


15.81 


67.09 


16.11 


67. OS 


16.40 


69 




70 

71 


68.21 


15.75 


68.14 


16.04 
16.27 


68.07 
69.04 


10.34 


67.99 


16.64 


70 
71 




69.18 


15.97 


69.11 


16.57 


68.97 


16.88 




72 


70.15 


16.20 


70.08 


16.50 


70.01 


16.81 69.94 


17.11 


72 




73 


71.13 


16.42 


71.06 


16.73 


70.98 


17.04 70.91 


17.35 


73 




74 


72.10 


16.65 


72.03 


16.96 


71.96 


17.28 


71.88 


17.59 


74 




75 


73.08 


16.87 


73.00 


17.19 


72.93 


17.50 


72.85 


17.83 


75 




76 


74.05 


17.10 


73.98 


17.42 


73.90 


17.74 


73.82 


18.06 


76 




77 


75.03 


17. .32 


74.95 


17.65 


74.87 


17.98 


74.79 


18.30 


77 




78 


76.00 


17.55 


75.92 


17.88 


75.84 


1&.21 


75.76 


18.. 54 


78 




79 


76.98 


17.77 


76.90 


18.11 


76.82 


18.44 


76.74 


18.78 


79 




80 
81 


77.95 


18.00 


77.87 
78.84 


18.34 


77.79 


18.68 


77.71 


19.01 


80 




78.92 


18.22 


18.57 


78.76 


18.91 


78.68 


19.25 


81 




82 


79.90 


18.45 


79.82 


18.79 


79.73 


19.14 


79.65 


19.49 


82 




83 


80.87 


18.67 


80.79 


19.02 


80.71 


19.38 


80.62 


19.73 


83 




84 


81.85 


18.90 


81.76 


19.25 '81.6.:! 


19.61 


81.59 


19.97 


84 




85 


82.82 


19.12 


82.74 


19.48 '82.65 


19.84 


82.56 


20.20 


85 




86 


83.80 


19.35 


83.71 


19.71 83.62 


20.08 


83.54 


20.44 


86 




87 


84.77 


19.57 


84.68 


19.94 


84.60 


20.31 


84.51 


20.68 


87 




88 


85.74 


19.80 


85.66 


20.17 


86.67 


20 . 54 


86.48 


20.92 


88 




89 


86.72 


20.02 


86.63 


20.40 i 86.54 


20.78 


86.45 


21.15 


89 




90 
91 


87.69 


20.25 


87.60 
88.58 


20.63 
20.86 


87.51 


21.01 


87.42 


21.39 


90 




88.67 


20.47 


88.49 


21.24 


88.39 


21.63 


9] 




92 


89.64 


20.70 


89.55 


21.09 89.46 


21.48 


89.36 


21.87 


92 




93 


90.62 


20.92 


90.52 


21.32 90.43 


21.71 


90.33 


22.10 


93 




94 


91.59 


21.15 


91.50 


21.54 91.40 


21.94 


91.31 


22.34 


94 




95 


92.. 57 


21.37 


92.47 


21.77 92.. 38 


22. 18 


92.28 


22.58 


95 




96 


93.54 


21.60 


93.44 


22.00 93.35 


22.41 


93.25 


22.82 


96 




97 


94.51 


21.82 


94.42 


22.23 94.32 


22.64 


94.22 


23.06 


97 




98 


95.49 


22.05 


95.39 


22.46 95.29 


22.88 


95.19 


23.29 


98 




99 


96.46 


22.27 


96.36 


22.69 96.26 


23.11 


96.16 


23.53 


99 




100 

.2 
Q 


97.44 


22.50 


97.34 


22.92 97.24 


23.34 


97.13 


23.77 


,..;(: 




Dep. 


Lat. 


Dep. 


Lat. 1 Dep. 


Lat. 


Dep. 


Lat. 


§ 

c 
as 




_ 

77 Deaf. 


76J Deg. 76A Deg. 


■6^ Deg. 

« 





50 



TRAVERSE TABLE. 



5' 
P 

~~1 


14 Deg. 


14i Deg. 

1 


14A Deg. 


141 Deg. 


1 

a 

9 

1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0,97 


0.24 


0.97 


0.25 


0.97 


0.25 


0.97 


0.25 


2 


1.94 


0.48 


1.94 


0.49 


1.94 


0.50 


1.93 


0.51 


2 


3 


2.91 


0.73 


2.91 


0.74 


5i.90 


0.75 


2.90 


0.76 


3 


4 


3.88 


0.97 


3.88 


0.98 


3.87 


1.00 


3.87 


1.02 


4 


5 


4.85 


1.21 


4.85 


1.23 


4.84 


1.25 


4.84 


1.27 


5 


6 


5.821 


1.45 


5.82 


1.48 


5.81 


1.50 


5.80 


1.53 


6 


7 


6.79' 


1.69 


6.78 


1.72 


6.78 


1.75 


6.77 


1.78 


7 


8 7.76! 


1.94 


7.75 


1.97 


7.75 


2.00 


7.74 


2.04 


8 


9 


8.73 i 


2.18 


8.72 


2.22 


8.71 


2.25 


8.70 


2.29 


9 


10 
11 


9.70' 


2.42 


9.69 


2.46 


9.63 


2.50 


9.67 


2.55 


10 
11 


10.67 


2.66 


10.66 


2.71 


10.65 


2.75 


10.64 


2.80 


12 


11.64 


2.90 


11.63 


2.95 


11.62 


3.00 


11.60 


3.06 


12 


13 


12.61 


3.15 


12.60 


3.20 


12.59 


3.25 


12.57 


3.31 


13 


14 


13.58 


3.39 


13.57 


3.45 


13.55 


3.51 


13.54 


3.56 


14 


15 


14.55 


3.63 


14.54 


3.69 


14.52 


3.76 


14.51 


3.82 


15 


16 


15.52 


3.87 


15.51 


3.94 


15.49 


4.01 


15.47 


4.07 


16 


17 


16.50 


4.11 


16.48 


4.18 1 


16.46 


4.26 


16.44 


4.33 


17 


18 


17.47 


4.35 


17.45 


4.43 


17.43 


4.51 


17.41 


4.58 


18 


19 


18.44: 


4.60 


18.42 


4.68 1 


18.39 


4.76 


18.37 


4.84 


19 


20 
'21 


19.41 


4.84 


19.39 


4.-92 1 


19.36 
20.33 


5.01 


19.34 


5.09 


20 
21 


20.38 


5.08 1 


20.35 


5.17 


5.36 


20.31 


5.35 


22 


21.35 


5.32 


21.32 


5.42 


21.30 


5.51 


21.28 


5.60 


22 


23 


22.32 


5.56 


22.29 


5.68 


22.27 


5.76 


22.24 


5.86 


23 


24 


23.99 


5.81 


23.26 


5.91 


23.24 


6.01 


23.21 


6.11 


24 


25 


24.26 


6.05 


24.23 


6.15 


24.20 


6.26 


24.18 


6.37 


25 


26 


25.23 


6.29 


25.20 


6.40 


25.17 


6.51 


25.14 


6.62 


26 


27 


26.20 


6.53 


26.17 


6.65 


26.14 


6.76 


26.11 


6.87 


27 


28 


27.17 


6.77 


27.14 


6.89 27.11 


7.01 


27.08 


7.13 


28 


29 


28.14 


7.02 


28.11 


7.14 28.08 


7.26 


28.04 


7.38 


29 


30 
31 


29.11 


7.26 
7.50 


29.08 


7.38 j 29.04 


7.51 


29.01 


7.64 


30 

31 


30.08 


30.05 


7.63 


30.01 


7.76 


29.98 


7.89 


32 


31.05 


7.74 


31.02 


7.88 


30.98 


8.01 


30.95 


8.15 


32 


33 


32.02 


7.98 


31.98 


8.12 


31.95 


8.26 


31.91 


8.40 


33 


34 


32.99 


8.23 


32.95 


8.37 


.32.92 


8.51 


32.88 


8.66 


34 


35 


33.96 


8.47 


33.92 


8.62 


33.89 


8.76 


.33.85 


8.91 


35 


36 


34.93 


8.71 


34.89 


8.86 


34.85 


9.01 


34.81 


9.17 


36 


37 


35.90 


8.95 


35.86 


9.11 


35.82 


9.26 


35.78 


9.42 


37 


38 


36.87 


9.19 


36.83 


9.35 


36.79 


9.51 


36.75 


9.67 


38 


39 


37.84 


9.44 


37.80 


9.60 


37.78 


9.76 


37.71 


9.93 


39 


40 
41 


38.81 


9.68 


38.77 


9.85 


38.73 


10.02 


38.68 


10.18 


40 
41 


39.78 


i 9.^2 


39.74 


10.09 


39.39 


10.27 


.39.65 


10.44 


42 


40.75 


1 10.16 


40 71 


10.34 


40.66 


10.52 


40.62 


10.69 


42 


43 


41.72 


i 10.40 


41.68 


10.58 


41.63 


10.77 


41.58 


10.95 


43 


44 


42.69 


10.64 


42.65 


10.83 


42.60 


11.02 


42.55 


11.20 


44 


45 


43.66 


10.89 


43.62 


11.08 


43.57 


11.27 


43.52 


11.46 


45 


46 


44.63 


11.13 


44.58 


11.32 


44.53 


11.52 


44.48 


11.71 


46 


47 


45.60 


11.37 


45.55 


11.57 


45.50 


11.77 


45.45 


11.97 


47 


48 


46.57 


11.61 


46.52 


11.82 


46.47 


12.02 


46.42 


12.22 


48 


49 


47.54 


i 11.85 


47.49 


12.06 


47.44 


12.27 


47.39 


12.48 


49 


50 

o 

i 


48.51 


12.10 


48.46 


12.31 


48.41 


12.52 


48.35 


12.73 


50 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


■1 

Q 


76 


Deg. 

« 


T5f 


Deg. 


761 


Deg. 


75i Deg. 



TRAVEKSE TABLE. 



31 



p 
51 


1 

14 Deg. 

1 


14i Deg. 


14i Deg. 


r 

14| Deg. 


~51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


49.49 


12.34 


49.43 


12.55 


49.38 


12.77 


49.32 


12.98 


53 


50.46 


12.58 


50.40 


12.80 


50.34 


13.02 


50.29 


13.24 


52 


53 


51.43 


12.82 


51.37 


13.05 


51.31 


13.27 


51.25 


13.49 


53 


54 


52.40 


13.06 


52.34 


13.29 


52.28 


13.52 


52.22 


13.75 


54 


55 


53.37 


13.31 


53.31 


13.54 


53.25 


13.77 


53.19 


14.00 


55 


56 


.54.34 


13.55 


54.28 


13.78 


54.22 


14.02 


54.15 


14.26 


56 


57 


55.31 


13.79 


55.25 


14.03 


55.18 


14.27 


55.12 


14.51 


57 


58 


56.28 


14.03 


56.22 


14.28 


56.15 


14.52 


56.09 


14.77 


58 


59 


57.25 


14.27 


57.18 


14.52 


57.12 


14.77 


57.06 


15.02 


59 


60 
61 


58.22 
59.19 


14.52 


58.15 


14.77 


58.09 


15.02 


58.02 


15.28 


60 
61 


14.76 


59.12 


15.02 


59.06 


15.27 


58.99 


15.53 


62 


60.16 


15.00 


60.09 


15.26 


60.03 


15.52 


59.96 


15.79 


62 


63 


61.13 


15.24 


61.06 


15.51 


60.99 


15.77 


60.92 


16.04 


63 


64 


62.10 


15.48 


62.03 


15.75 


61.96 


16.02 


61.89 


16.29 


64 


65 


63.07 


15.72 


63.00 


16.00 


62.93 


16.27 


62.86 


16.. 55 


65 


66 


64.04 


15.97 


63.97 


16.25 


63.90 


16.53 


63.83 


16.80 


66 


67 


65.01 


16.21 


64.94 


16.49 


64.87 


16.78 


64.79 


17.06 


67 


68 


65.98 


16.45 


65.91 


16.74 


65.83 


17.03 


65.76 


17.31 


68 


69 


66.95 


16.69 


66.88 


16.98 


66.80 


17.28 


66.73 


17.57 


69 


70 
71 


67.92 


16.93 


67.85 


17.23 


67.77 


17.53 


67.69 


17.82 


70 

71 


68.89 


17. 1« 
17. 4§ 


68.82 


17.48 


68.74 


17.78 


68.66 


18.08 


72 


69.86 


69.78 


17.72 


69.71 


18.03 


69.63 


18.33 


72 


73 


70.83 


17.66 


70.75 


17.97 


70.67 


18.28 


70.59 


18.59 


73 


74 


71.80 


17.90 


71.72 


18.22 


71.64 


18.53 


71.56 


18.84 


74 


75 


72.77 


18.14 


72.69 


18.46 


72.61 


18.78 


72.53 


19.10 


75 


76 


73.74 


18.39 


73.66 


18.71 


73.58 


19.03 


73.50 


19.35 


76 


77 


74.71 


18.63 


74.63 


18.95 


74.55 


19.28 


74.46 


19.60 


77 


78 


75.68 


18.87 


75.60 


19.20 


75.52 


19.53 


75.43 


19.86 


78 


79 


76.65 


19.11 


76.57 


19.45 


76.48 


19.78 


76.40 


20.11 


79 


80 
81 


77.62 
78.59 


19.35 


77.54 


19.69 


77.45 


20.03 


77.36 
78.33 


20.37 


80 
81 


19.60 


78.51 


19.94 


78.42 


20.28 


20.62 


82 


79.56 


19.84 


79.48 


20.18 


79.39 


20.53 


79.30 


20.88 


82 


83 


80.53 


20,08 


80.45 


20.43 


80.36 


20.78 


80.20 


21.13 


83 


84 


81.50 


20.32 


81.42 


20.68 


81.32 


21.03 


81.23 


21.39 


84 


85 


82.48 


20.56 


82.38 


20.92 


82.29 


21.28 


82.20 


21.64 


85 


86 


83.45 


20.81 


83.35 


21.17 


83.26 


21.53 


83.17 


21.90 


86 


87 


84.42 


21.05 


84.32 


21.42 


84.23 


21.78 


84.13 


22.15 


87 


88 


85.39 


21.29 


85.29 


21.66 


85.20 


22.03 


85.10 


22.41 


88 


89 


86.36 


21.53 


86.26 


21.91 


86.17 


22.28 


86.07 


22.66 


89 


90 
91 


87.33 
88.30 


21.77 


87.23 


22.15 


87.13 


22.. 53 


87.03 


22.91 
23.17 


90 
91 


22.01 


88.20 


22.40 


88.10 


22.78 


88.00 


92 


89.27 


22.26 


89.17 


22.65 


89.07 


23.04 


88.97 


23.42 


92 


93 


90.24 


22.50 


90.14 


22.89 


90.04 


23.29 


89.94 


23.68 


93 


94 


91.21 


22.74 


91.11 


23.14 


91.01 


23.54 


90.90 


23.93 


94 


95 


92.18 


22.98 


92.08 


23.38 


91.97 


23.79 


91.87 


24.19 


96 


96 


93.15 


23.22 


93.05 


23.63 


92.94 


24.04 


92.84 


24.44 


96 


97 


94.12 


23.47 


94.02 


23.88 


93.91 


24.29 


98.80 


24.70 


97 


98 


95.09 


23.71 


94.98 


24.12 


94.88 


24.54 


94.77 


24.95 


98 


99 


96.06 


23 9i» 


95.95 


24.37 


95.85 


24.79 


95.74 


25.21 


99 


100 

6 


97.03 


24.19 


96.92 


24.62 


96.81 


25.04 


96.70 


25.46 


100 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


i 


76 Deg. 

1 


75| Deg. 


75i Deg. 


75J Deg. 



h2 



TRAVERSE TABLE. 



P. 

a 

a 


15 Deg. 


15i Deg. 


15t 


Deg. 


15| Deg. 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.97 


0.26 


0.96 


0.26 


0.96 


0.27 


0.96 


0.27 


1 


2 


1.93 


0.52 


1.93 


0.53 


1.93 


0..53 


1.92 


0.54 


2 


3 2.90 


0.78 


2.89 


0.79 


2.89 


0.80 


2.89 


0.81 


3 


4 


3.86 


1.04 


3.86 


1.05 


3.85 


1.07 


3.85 


1.09 


4 


5 


4.83 


1.29 


4.82 


1.32 


4.82 


1.34 


4.81 


1.36 


5 


6 


5.80 


1.55 


5.79 


1.58 


5.78 


1.60 


5.77 


1.63 


6 


7 


6.76 


1.81 


6.75 


1.84 


6.75 


1.87 


6.74 


1.90 


7 


8 


7.73 


2.07 


7.72 


2.10 


7.71 


2.14 


7.70 


2.17 


8 


9 


8.69 


2.33 


8.68 


2.37 


8.67 


2.41 


8.66 


2.44 


9 


10 


9.66 


2.59 


9.65 


2.63 


9.64 


2.67! 


9.62 


2.71 


10 


11 


10.63 


2.85 


10.61 


2.89 


10.60 


2.94 


10.59 


2.99 


11 


12 


11.59 


3.11 


11.58 


3.16 


11.56 


3.21 


11.55 


3.26 


12 


13 


12.56 


3.36 


12.54 


3.42 


12.53 


3.47 1 


12.51 


3.53 


13 


14 


13.52 


3.62 


13.51 


3.68 


13.49 


3.74 1 


13.47 


3.80 


14 


15 


14.49 


3.88 


14.47 


3.95 


14.45 


4.01 


14.44 


4.07 


15 


16 


15.45 


4.14 


15.44 


4.21 


15.42 


4.28 


15.40 


4.34 


16 


17 


16.42 


4.40 


16.40 


4.47 


16.38 


4.54 


16.36 


4.61 


17 


18 


17.39 


4.66 


17.37 


4.73 


17.35 


4.81 


17.32 


4.89 


18 


19 


18.35 


4.92 


18.33 


5.00 


18.31 


5.08 


18.29 


5.16 


19 


20 


19.32 


5.18 


19.30 


5.26 


19.27 


5.34 


19.25 


5.43 


20 


21 


20.28 


5.44 


20.26 


5.52 


20.24 


5.61 1 


20.21 


5.70 


21 


22 


21.25 


5.69 


21.23 


5.79 


21.20 


5.88 


21.17 


5.97 


22 


23 


22.22 


5.95 


22.19 


6.05 


22.16 


6.151 


22.14 


6.24 


23 


24 


23.18 


6.21 


23.15 


6.31 


23.13 


6.41 ; 


23.10 


6.51 


24 


25 


24.15 


6.47 


24.12 


6.. 58 


24.09 


6.68' 


24.06 


6.79 


25 


26 


25.11 


6.73 


25.08 


6.84 


25.05 


6.95 1 


25.02 


7.06 


26 


27 


26.08 


6.99 


26.05 


7.10 


26.02 


7.22 


25.99 


7.33 


27 


28 


27.05 


7.25 


27.01 


7.36 


26.98 


7.48 


26.95 


7.60 


28 


29 


28.01 


7.51 


27.98 


7.63 


27.95 


7.75 


27.91 


7.87 


29 


30 


28.98 


7.76 


28.94 


7.89 


28.91 


8.02 


28.87 


8.14 


30 


31 


29.94 


8.02 


29.91 


8.15 


29.87 


8.28 


29.84 


8.41 


31 


32 


30.91 


8.28 


30.87 


8.42 


30.84 


8.55 


30.80 


8.69 


32 


33 


31.88 


8.54 


31.84 


8.68 


31.80 


8.82 


31.76 


8.96 


33 


34 


32.84 


8,80 


32.80 


8.94 


32.76 


9.09 


32.72 


9.23 


34 


35 


33.81 


9.06 


33.77 


9.21 


33.73 


9.35 


33.69 


9.50 


35 


36 


34.77 


9.32 


34.73 


9.47 


34.69 


9.62 


34.65 


9.77 


36 


37 


35.74 


9.58 


35.70 


9.73 


35.65 


9.89 


35.61 


10.04 


37 


38 


36.71 


9.84 


36.66 


10.00 


36.62 


10.16 


36.57 


10.31 


38 


39 


37.67 


10.09 


37.63 


10.26 


37.58 


10.42 


37.54 


10.59 


39 


40 


38.64 


10.35 


38.59 


10.. 52 


38.55 


10.69 


38.50 


10.86 


40 


41 


39.60 


10.61 


39.56 


10.78 


39.51 


10.96 


39.46 


11.13 


41 


42 


40.57 


10.87 


40.52 


11.05 


40.47 


11.22 


40.42 


11.40 


42 


43 


41.53 


11.13 


41.49 


11.31 


41.44 


11.49 


41.39 


11.67 


43 


44 


42.50 


11.39 


42.45 


11.57 


42.40 


11.76 


42.35 


11.94 


44 


45 


43.47 


11.65 


43.42 


11.84 


43.36 


12.03 


43.31 


12.21 


45 


46 


44.43 


11.91 


44.38 


12.10 


44.33 


12.29 


44.27 


12.49 


46 


47 


45.40 


12.16 


45v35 


12.36 


45.29 


12.56 


45.24 


12.76 


47 


48 


46.36 


12.42 


46.31 


12.63 


46.25 


12.83 


46.20 


13.03 


48 


49 


47.33 


12.68 


47.27 


12.89 


47.22 


13.09 


47.16 


13.30 


49 


50 


48.30 


12.94 


48.24 


13.15 


48.18 


13.36 


48.12 


13.57 


50 

Q 


i 


Dep. 


Lat. 


r| Dep- 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


S 


1 

75 


Deg. 


i 

1 74 


Deg. 


.74| 


Deg. 


74iDeg. 



TK AVERSE TABLE. 



3S 



o 

1 

"61 


15 Deg. 


I5i Deg. 


151 Deg. 


151 Deg. 


D 

BO 
P 

3 

51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


49.26 


13.20 


49.20 


13.41 


49.15 


13.63 


49.09 


13.84 


52 


50.23 


13.46 


50.17 


13.68 


50.11 


13.90 


.50.05 


14.11 


52 


53 


51.19 


13.72 


51.13 


13.94 


51.07 


14.16 


51.01 


14.39 


53 


54 


52.16 


13.98 


52.10 


14.20 


.52.04 


14.43 


51.97 


14.66 


54 


55 53.13 1 


14.24 


53.06 


14.47 


53.00 


14.70 


52.94 


14.93 


55 


56 


54.09 


14.49 


54.03 


14.73 


53.96 


14.97 


53.90 


15.20 


56 


57 


55.06 


14.75 


54.99 


14.99 


54.93 


15.23 


54.86 


15.47 


57 


58 


56.02 


15.01 


55.96 


15.26 


55.89 


15.. 50 


55.82 


15.74 


58 


59 


56.99 


15.27 


56.92 


15.52 


56.85 


15.77 


56.78 


16.01 


59 


60 
61 


57.96 


15.53 


57.89 


15.78 


57.82 
58.78 


16.03 


57.75 


16.29 


60 
61 


58.92 


15.79 


58.85 


16.04 


16.30 


58.71 


16.56 


63 


59.89 


16.T)5 


59.82 


16.31 


59.75 


16.57 


59.67 


16.83 


62 


63 


60.85 


16.31 


60.78 


16.57 


60.71 


16.84 


60.63 


17.10 


63 


64 


61.82 


16.56 


61.75 


16.83 


61.67 


17.10 


61.60 


17.37 


64 


65 


62.79 


16.82 


62.71 


17.10 


62.64 


17.37 


62.56 


17.64 


65 


66 


63.75 


17.08 


63.68 


17.36 


63.60 


17.64 


63.52 


17.92 


66 


67 


64.72 


17.34 


64.64 


17.62 


64.56 


17.90 


64.48 


18.19 


67 


68 


65.68 


17.60 


65.61 


17.89 


65.53 


18.17 


65.45 


18.46 


68 


69 


66.65 


17.86 


66.57 


18.15 


66.49 


18.44 


66.41 


18.73 


69 


70 

71 


67.61 


18.12 


67.54 


18.41 


67.45 


18.71 


67.37 


19.00 


70 

71 


68.58 


18.38 


68.50 


18.68 


68.42 


18.97 


68.33 


19.27 


72 


69.55 


18.63 


69.46 


18.94 


69.38 


19.24 


69.30 


19.54 


72 


73 


70.51 


18.89 


70.43 


19.20 


70.35 


19.51 


70.26 


19.82 


73 


74 


71.48 


19.15 


71.39 


19.46 


71.31 


19.78 


71.22 


20.09 


74 


75 


72.44 


19.41 


72.36 


19.73 


72.27 


20.04 


72.18 


20.36 


75 


76 


73.41 


19.67 


73.32 


19.99 


73.24 


20.31 


73.15 


20.63 


76 


77 


74.38 


19.93 


74.29 


20.25 


74.20 


20.58 


74.11 


20.90 


77 


78 


75.34 


20.19 


75.25 


20.52 


75.16 


20.84 


75.07 


21.17 


78 


79 


76.31 


20.45 


76.22 


20.78 


76.13 


21.11 


76.03 


21.44 


79 


80 
81 


77.27 


20.71 


77.18 


21.04 


77.09 


21.38 


77.00 


21.72 
21.99 


80 
81 


78.24 


20.96 


T8.15 


21.31 


78.05 


21.65 


77.96 


82 


79.21 


21.22 


79.11 


21.57 


79.02 


21.91 


78.92 


22.26 


82 


83 


80.17 


21.48 


80.08 


21.83 


79.98 


22.18 


79.88 


22.53 


83 


84 


81.14 


21.74 


81.04 


22.09 


80.94 


22.45 


80.85 


22.80 


84 


85 


82.10 


22.00 


82.01 


22.36 


81.91 


22.72 


81.81 


23.07 


85 


86 


83.07 


22.26 


82.97 


22.62 


82.87 


22.98 


82.77 


23.34 


86 


87 


84.04 


22.52 


83.94 


22.88 


83.84 


23.25 


83.73 


23.62 


87 


88 


85.00 


22.78 


84.90 


23.15 


84.80 


23.52 


84.70 


23.89 


88 


89 


85.97 


23.03 


85.87 


23.41 


85.76 


23.78 


85.66 


24.16 


89 


90 
91 


86.93 


23.29 


86.83 


23.67 


86.73 


24.05 


86.62 


24.43 


90 
91 


87.90 


23.55 


87.80 


23.94 


87.69 


24.32 


87.58 


24.70 


92 


88.87 


23.81 


88.76 


24.20 


88.65 


24.59 


88.55 


24.97 


92 


93 


89.83 


24.07 


89.73 


24.46 


89.62 


24.85 


89.51 


25.24 


93 


94 


90.80 


24.33 


90.69 


24.72 


90.58 25.12 


90.47 


25.52 


94 


95 


91.76 


24.59 


91.65 


24.99 


91.54 


25.39 


91.43 


25.79 


95 


96 


92.73 


24.85 


92.62 


25.25 


92.51 


25.65 


92.40 


26.06 


96 


97 


93.69 


25.11 


93.58 


25.51 


93.47 


25.92 


93.36 


26.33 


97 


98 


94.66 


25.36 


94.55 


25.78 


94.44 


26.19 


94.32 


26.60 


98 


99 


95.63 


25.62 


95.51 


26.04 


95.40 


26.46 


95.28 


26.87 


99 


100 

1 


96.59 
Dep. 


25.88 


96.48 


26.30 


96.36 


26.72 


96.25 


27.14 
Lat. 


100 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


75 Deg. 


T4| Deg. 


74| Deg. 


74i De;g. 



34 



TRAVERSE TABLE. 





16 


Deg. 


16i Deg, 


161 


Deg. 


161 Deg. 


1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 

0.28 


Lat. 
0.96 


Dep. 


0.96 


0.28 


0.96 


0.28 


0.96 


0.29 


1 


2 


1.92 


0.55 


1.92 


0.56 


1.92 


0.57 


1.92 


0.58 


2 


3 


2.88 


0.83 


2.88 


0.84 


2.88 


0.85 


2.87 


0.86 


3 


4 


3.85 


1.10 


3.84 


1.12 


3.84 


1.14 


3.83 


1.15 


4 


5 


4.81 


1.38 


4.80 


1.40 


4.79 


1.42 


4.79 


l.M 


5 


6 


5.77 


1.65 


5.76 


1.68 


5.75 


1,70 


5.75 


1.73 


6 


7 


6.73 


1.93 


6.72 


1.96 


6.71 


1.99 


6.70 


2.02 


7 


8 


7.69 


2.21 


7.68 


2.24 


7.67 


2.27 


7.66 


2.31 


8 


9 


8.65 


2.48 


8.64 


2.52 


8.63 


2.56 


8.62 


2.59 


9 


10 

n 


9.61 
10.57 


2.76 


9.60 


2.80 


9.59 


2.84 


9.58 


2.88 


10 
11 


3.03 


10.56 


3.08 


10.55 


3.12 


10.53 


3.17 


12 


11.54 


3.31 


11.52 


3.36 


11.51 


3.41 


11.49 


3.46 


12 


13 


12.50 


3.58 


12.48 


3.64 


12.46 


3.69 


12.45 


3.75 


13 


14 


13.46 


3.86 


13.44 


3.92 


13.42 


3.98 


13.41 


4.03 i 14 I 


15 


14.42 


4.13 


14.40 


4.20 


14.38 


4.26 


14.36 


4.32 


15 


16 


15.38 


4.41 


15.36 


4.48 


15.34 


4.54 


15.32 


4.61 


16 


17 


16.34 


4.69 


16.32 


4.76 


16.30 


4.83 


16.28 


4.90 


17 


18 


17.30 


4.96 


17.28 


5.04 


17.26 


5.11 


17.24 


5.19 


18 


19 


18.26 


5.24 


18.24 


5.32 


18.22 


5.40 


18.19 


5.48 


19 


20 


19.23 


5.51 


19.20 


5.60 


19.18 


5.68 


19.15 


5.76 


20 


21 


20.19 


5.79 


20.16 


5.88 


20.14 


5.96 


20.21 


6.05 


21 


22 


21.15 


6.06 


21.12 


6.16 


21.09 


6.25 


21,07 


6.34 1 22 1 


23 


22.11 


6.34 


22.08 


6.44 


22.05 


6.53 


23.02 


6.63 


23 


24 


23.07 


6.62 


23.04 


6.72 


23.01 


6.82 


22.98 


6.92 


24 


2f) 


24.03 


6.89 


24.00 


7.00 


23.97 


7.10 


23.94 


7.20 


25 


26 


24.99 


7.17 


24.96 


7.28 


24.93 


7.38 


24.90 


7.49 


26 


27 


25.95 


7.44 


25.92 


7.56 


25.89 


7.67 


25.85 


7.78 


27 


28 


26.92 


7.72 


26.88 


7.84 


26.85 


7.95 


26.81 


8.07 


28 


29 


27.88 


7.99 


27.84 


8.11 


37.81 


8.24 


27.77 


8.36 


29 


30 

31 


28.84 
29.80 


8.27 


28.80 


8.39 


28.76 


8.52 


28.73 


8.65 


30 


8.54 


29.76 


8.67 


29.72 


8.80 


29.68 


8.93 


31 


32 


30.76 


8.82 


30.72 


8.95 


30.68 


9.09 


30.64 


9.22 


32 


33 


31.72 


9.10 


31.68 


9.23 


31.64 


9.3/ 


31.60 


9.51 


33 


34 


32.68 


9.37 


32.64 


9.51 


32.60 


9.66 


32.56 


9.80 


34 


35 


33.64 


9.65 


33.60 


9.79 


33.56 


9.94 


33.51 


10.09 


35 


36 


34.61 


9.92 


34.56 


10.07 


34.52 


1C.22 


34.47 


10.38 


36 


37 


35.57 


10.20 


35.52 


10.35 


35.48 


10.51 


35.43 


10.66 


37 


3S 


36.53 


10.47 


36.48 


10.63 


36.44 


10.79 


36.39 


10.95 


38 


39 


37.49 


10.75 


37.44 


10.91 


37.39 


11.08 


37.35 


n.24 


39 


40 
41 


38.45 


11.03 


38.40 


11.19 


.38.35 


11.36 


38.30 


11.53 
11.82 


40 

41 


39.41 


11.30 


39.36 


11.47 


39.31 


11.64 


39.26 


42 


40.37 


11.58 


40.32 


11.75 


40.27 


11.93 


40.22 


12.10 


42 


43 


41.33 


11.85 


41.28 


12.03 


41.23 


12.21 


41.18 


12.39 


43 


44 


42.30 


12.13 


42.24 


12.31 


42.19 


12.50 


42.13 


12.68 


44 


45 


43.26 


12.40 


43.20 


12.59 


43.15 


12.78 


43.09 


12.97 


45 


46 


44.22 


12.68 


44.16 


12.87 


44.11 


13.06 


44.05 


13,26 


46 


47 


45.18 


12.95 


45.12 


13.15 


45.06 


13.35 


45.01 


13.55 


47 


48 


46.14 


13.23 


46.08 


13.43 


46.02 


13.63 


45.96 


13.83 


48 


49 


47.10 


13.51 


47.04 


13.71 


46.98 


13.92 


46.92 


14.12 


49 


50 

1 

.a 


48.06 
Dep. 


13.78 


48.00 


13.99 


47.94 


14.20 


47.88 


14.41 
Lat. 


50 

1 

(5 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


74 


Deg. 


731 


Deg. 


73i Deg. 


T3i 


Deg. 



TRAVEESE TABLE. 



35 



p 

51 


16 Deg. 


16i Deg. 


16^ Deg. 


161 Deg. 


1 

? 
"51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


49.02 


14.06 


48.96 


14.27 


48.90 


14.48 


48.84 


14.70 


o2 


49.99 


14.33 


49.92 


14.55 


49.86 


14.77 


49.79 


14.99 


52 


53 


50.95 


14.61 


50.88 


14.83 


50.82 


15.06 


50.75 


15.27 


63 


54 


51.91 


14.88 


51.84 


15.11 


51.78 


15.34 


61.71 


15.56 


54 


55 


52.87 


15.16 


52.80 


15.39 


52.74 


15.62 


62.67 


16.85 


55 


58 


.'13.83 


15.44 


53.76 


15.67 


63.69 


15.90 


63.62 


16.14 


56 


57 


54.79 


15.71 


54.72 


15.95 


54.65 


16.19 


54.68 


16.43 


57 


58 


55.75 


15.99 


55.68 


16.23 


55.61 


16.47 


56.64 


16.72 


58 


59 


56.71 


16.26 


56.64 


16.51 


56.57 


16.76 


66.50 


17.00 


69 


60 
61 


57.68 


16.54 


57.60 


16.79 


57.53 


17.04 


57.46 


17.29 


60 
61 


58.64 


16.81 


58.56 


17.07 


58.49 


17.32 


58.41 


17.58 


62 


59.60 


17.09 


59.52 


17.35 


69.45 


17.61 


59.37 


17.87 


62 


63 


60.56 


17.37 


60.48 


17.63 


60.41 


17.89 


60.33 


18.16 


63 


64 


61.52 


17.64 


61.44 


17.91 


61.36 


18.18 


61.28 


18.44 


64 


65 


62.48 


17.92 


62.40 


18.19 


62.32 


18.46 


62.24 


18.73 


65 


66 


63.44 


18.19 


63.36 


18.47 


63.28 


18.74 


63.20 


19.02 


66 


67 


64.40 


18.47 


64.32 


18.75 


64.24 


19.03 


64.16 


19.31 


67 


68 


65.. 37 


18.74 


65.28 


19.03 


66.20 


19.31 


65.11 


19.60 


68 


69 


66.33 


19.02 


66.24 


19.31 


66.16 


19.60 


66.07 


19.89 


69 


70 

71 


67.29 


19.29 


67.20 


19.59 


67.12 


19.88 


67.03 


20.17 


70 
71 


68.25 


19.57 


68.16 


19.87 


68.08 


20.17 


67.99 


20.46 


72 


69.21 


19.85 


69.12 


20.15 


69.03 


20.45 


68.95 


20.76 


72 


73 


70.17 


20.12 


70.08 


20.43 


69.99 


20.73 


69.90 


21.04 


73 


74 


71.13 


20.40 


71.04 


20.71 


70.95 


21.02 


70.86 


21.33 


74 


75 


72.09 


20.67 


72.00 


20.99 


71.91 


21.30 


71.82 


21.61 


76 


76 


73.06 


20.95 


72.96 


21.27 


72.87 


21.69 


72.78 


21.90 


76 


77 


74.02 


21.22 


73.92 


21.55 


73.83 


21.87 


73.73 


22.19 


77 


78 


74.98 


21.. 50 


74.88 


21.83 


74.79 


22.15 


74.69 


22.48 


78 


79 


75.94 


21.78 


75.84 


22.11 


75.75 


22.44 


75.65 


22.77 


79 


80 
81 


76.90 


22.05 


76.80 


22.39 


76.71 


22.72 


76.61 


23.06 


80 
81 


77.86 


22.33 


77.76 


22.67 


77.66 


23.01 


77.56 


23.34 


82 


78.82 


22.60 


78.72 


22.95 


78.62 


23.29 


78.62 


23.63 


82 


83 


79.78 


22.88 


79.68 


23.23 


79.58 


23.57 


79.48 


23.92 


83 


84 


80.75 


23.15 


80.64 


23.51 


80.54 


23.86 


80.44 


24.21 


84 


85 


81.71 


23.43 


81.60 


23.79 


81.50 


24.14 


81.39 


24.60 


85 


86 


82.67 


23.70 


82.56 


24.07 


82.46 


24.43 


82.35 


24.78 


86 


87 


83.63 


23.98 


83.52 


24.35 


83.42 


24.71 


83.31 


25.07 


87 


88 


84.59 


24.26 


84.48 


24.62 


84., 38 


24.99 


84.27 


25.36 


88 


89 


85.55 


24.53 


85.44 


24.90 


85.33 


25.28 


86.22 


26.65 


89 


90 
91 


86.51 


24.81 


86.40 


25.18 


86.29 


26.66 


86.18 


25.94 


90 
91 


87.47 


25.08 


87.36 


25.46 


87.26 


26.85 


87.14 


26.23 


92 


88.44 


25.36 


88.32 


25.74 


88.21 


26.13 


88.10 


26.51 


92 


93 


89.40 


25.63 


89.28 


26.02 


89.17 


26.41 


89.06 


26.80 


93 


94 


90.36 


25.91 


90.24 


26.30 


90.13 


26.70 


90.01 


27.09 


94 


95 


91.32 


26.19 


91.20 


26.58 


91.09 


26.98 


90.97 


27.38 


95 


96 


92.28 


26.46 


92.16 


26.86 


92.05 


27.27 


91.93 


27.67 


96 


97 


93.24 


26.74 


93.12 


27.14 


93.01 


27.55 


92.88 


27.95 


97 


98 


94.20 


27.01 


94.08 


27.42 


93.96 


27.83 


93.84 


28.24 


98 


99 


95.16 


27.29 


95.04 


27.70 


94.92 


28.12 


94.80 


28.53 


99 


100 

£ 


96.13 


27.56 


96.00 


27.98 


95.88 


28.40 


95.76 


28.82 


100 

.2 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


74 Deg. 


731 Deg. 


73^ Deg. 


73i Deg. 



N 



36 



TRAVERSE TABLE. 



a 


17 Deg-. 


I7i Deg. 


iH] 


Deg. 


171 Deg. 


s 
E 

o 
a> 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


~1 


0.96 


0.29 


0.95 


0.30 


0.95 


0.30 


0.95 


0.30 


2 1.91 


0.58 


1.91 


0.59 


1.91 


0.60 


1.90 


0.61 


2 


3 ! 2.87 


0.88 


2.87 


0.89 


2.86 


0.90 


2.86 


0.91 


3 


4i 3.83 


1.17 


3.82 


1.19 


3.81 


1.20 


3.81 


1.22 


4 


5 4.78 


1.46 


4.78 


1.48 


4.77 


1.50 


4.76 


1,52 


5 


6 5.74 


1.75 


5.73 


1.78 


6.72 


1.80 


5.71 


1.83 


6 


7 


6.69 


2.05 


6.69 


2.08 


6.68 


2.10 


6.67 


2.13 


7, 


8 


7.66 


2.34 


7.64 


2.37 


7.63 


2.41 


7.62 


2.44 


8 


9 


8.61 


2.63 


8.60 


2.67 


8.68 


2.71 


8.57 


2.74 


9 


10 
11 


9.56 


2.92 


9.55 


2.97 


9.54 


3.01 


9.52 


3.05 


10 
11 


10.62 


3.22 


10.51 


3.26 


10.49 


3.31 


10.48 


3.35 


12 


11.48 


3.51 


11.46 


3.. 56 


11.44 


3.61 


11.43 


3,66 


12 


13 


12.43 


3.80 


12.42 


3.85 


12.40 


3.91 


12.38 


3.96 


13 


14 


13.39 


4,09 


13.37 


4.15 


13.36 


4.21 


13.33 


4.27 


14 


15 


14.34 


4.39 


14.33 


4.45 


14.31 


4.51 


14.29 


4.57 


15 


16 


15.30 


4.68 


15.28 


4.74 


15.26 


4.81 


15.24 


4.88 


16 


17 


16.26 


4.97 


16.24 


5.04 


16.21 


5.11 


16.19 


5.18 


17 


18 


17.21 


5.26 


17.19 


5.34 


17.17 


5.41 


17.14 


6.49 


18 


19 


18.17 


5.56 


18.15 


5.63 


18.12 


5.71 


18.10 


5.79 


19 


20 

21 


19.13 


5.85 


19.10 
20.06 


6.93 


19.07 


6.01 


19.05 


6.10 


20 
21 


20.08 


6.14 


6.23 


20.03 


6.31 


20.00 


6.40 


22 


21.04 


6.43 


21.01 


6.52 


20.98 


6.62 


20.95 


6.71 


22 


23 


21.99 


6.72 


21.97 


6.82 


21.94 


6.92 


21.91 


7.01 


23 


24 


22.95 


7.02 


22.92 


7.12 


22.89 


7.22 


22.86 


7.32 


24 


2o 


23.91 


7.31 


23.88 


7.41 j 


23.84 


7.52 


23.81 


7.62 


25 


26 


24.86 


7.60 


24.83 


7.71 


24.80 


7.82 


24.76 


7.93 


26 


27 


25.82 


7.89 


25.79 


8.01 


26.75 


8.12 


25.71 


8.23 


27 


28 


26.78 


8.19 


26.74 


8.30 


26.70 


8.42 


26.67 


8.54 


28 


29 


27.73 


8.48 


27.70 


8.60 


27.66 


8.72 


27.62 


8.84 


29 


30 

31 


28.69 i 8.77 


28.66 


8.90 


28.61 


9.02 


28.57 


9.15 


30 
31 


29.65 i 9.06 


29.61 


9.19 


29.57 


9.32 


29.52 


9.46 


32 


30.60! 9.36 


30.56 


9.49 


30.52 


9.62 


30.48 


9.76 


32 


33 


31.561 9.65 


31.62 


9.79 


31.47 


9.92 


31.43 


10.06 


33 


34 


32.51! 9.94 


32.47 


10.08 


32.43 


10.22 


32.38 


10.37 


34 


35 


33.47! 10.23 


33.43 


10.38 


33.38 


10.. 52 


33.33 


10.67 


35 


36 


34.43 10.53 


34.38 


10.68 


34.33 


10.83 


34.29 


10.98 


36 


37 


36.38: 10.82 


35.34 


10.97 


36.29 


11.13 


35 24 


11.28 


37 


38 


36.341 11.11 


36.29 


11.27 


36.24 


11.43 


36.19 


11. .58 


38 


39 


37.30 11.40 


37.25 


11. .57 


37.19 


11.73 


37.14 


11.89 


39 


40 
41 


38.25 11.69 


38.20 


11.86 


38.15 


12.03 


38.10 


12.19 


40 

41 


39.21 11.99 


39.16 


12.16 


39.10 


12.33 


39.05 


12.50 


42 


40.16 i 12.28 


40.11 


12.45 


40.06 


12.63 


40.00 


12.80 


42 


43 


41.12: 12.57 


141.07 


12.75 


41.01 


12.93 


40.96 


13.11 


43 


44 


42.08 12.86 


42.02 


13.05 


41.96 


13.23 


41.91 


13.41 


44 


45 


43.03 13.16 


42.98 


13.34 


42.92 


13.53 


42.86 


13.72 


45 


46 


43.99 13.45 


! 43.93 


13.64 


43.87 


13.83 


43.81 


14.02 


46 


47 


44.95 13.74 


44.89 


13.94 


44.82 


14.13 


44.76 


14.33 


47 


48 


45.90 14.03 


45.84 


14.23 


45.78 


14.43 


45.71 


14.63 


48 


49 


46.86 14.33 


46.80 


14.. 53 


46.73 


14.73 


46.67 


14.94 


49 


JO 

i 

w 


47.82 14.62 


1 47.75 


14.83 


47.69 


15.04 


47,62 


15.24 


60 

o 

- 1 

s 


Dep. Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


73 Deg. 


721 


Deg. 


- 


Deg. 


72i 


Deg. 



TRAVERSE TABLE. 



31 



5 

5 

3 

9 
51 


17 Deg. 


17i Deg. 


m l^eg. 


171 Deg. 


1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


48.77 


14.91 


48.71 


15.12 


48.64 


15,34 


48.57 


15.65 


61 


52 


49.73 


15.20 


49.66 


15.42 


49.59 


15.64 


49.52 


15.85 


52 


53 


50.68 


15.50 


50.62 


15.72 


50.65 


15.94 


50.48 


16.16 


53 


54 


51.64 


15.79 


51.57 1 16.01 


51,50 


16.24 


51.43 


16.46 


54 


55 


52.60 


16.08 


52.53 1 16.31 


52.45 


16.54 


52.38 


16.77 


55 


56 


53.55 


16.37 


53.48 


16.61 


53.41 


16.84 


53.33 


17.07 


56 


57 


54.51 


16.67 


54.44 


16.90 


54.. 36 


17.14 


54.29 


17.38 


57 


58 


55.47 


16.96 


55.39 


17.20 


55.32 


17.44 


.55.24 


17.68 


58 


59 


56.42 


17.25 


56,35 


17.60 


56.27 


17.74 


56.10 


17.99 


69 


60 
61 


57.38 


17.54 
17.83 


57.30 


17.79 


57.22 


18.04 


57.14 


18.29 


60 


58.33 


58.26 


18.09 


58.18 


18.34 


58.10 


18.60 


61 


62 


59.29 


18.13 


59.21 


18.39 


59.13 


18.64 


.59.05 


18.90 


62 


63 


60.25 


18.42 


60.17 


18.68 


60.08 


18.94 


60.00 


19.21 


63 


64 


61.20 


18.71 


61.12 


18.98 


61.04 


19.25 


60,95 


19.51 


64 


65 


62.16 


19.00 


62.08 


19.28 


61.99 


19.55 


61.91 


19.82 


65 


66 


63.12 


19.30 


63.03 


19.57 


62.95 


19.85 


62,86 


20.12 


66 


67 


64.07 


19.59 


63.99 


19.87 


63.90 


20.15 


63.81 


20.43 


67 


68 


65.03 


19.88 


64.94 


20.16 


64.85 


20.45 


64,76 


20.73 


68 


G9 


65.99 


20.17 


65.90 


20.46 


65.81 


20.75 


65.72 


21.04 


69 


70 

71 


66.94 


20.47 


66.85 


20.76 


66.76 


21.05 


66.67 


21.34 


70 

71 


67.90 


20.76 


67.81 


21.05 


67.71 


21.35 


67.62 


21.65 


72 


68.85 


21.05 


68.76 


21.35 


68.67 


21.65 


68.57 


21.95 


72 


73 


69.81 


21.34 


69.72 


21.65 


69.62 


21.95 


69.52 


22.26 


73 


74 


70.77 


21.64 


70.67 


21.94 


70.58 


22.25 


70.48 


22.56 


74 


75 


71.72 


21.93 


71.63 


22.24 


71.53 


22.55 


71.43 


22.86 


75 


76 


72.68 


22.22 


72.58 


22.54 


72.48 


22.85 


72,38 


23.17 


76 


77 


73.64 


22.51 


73.54 


22.83 


73.44 


23.15 


73.33 


23.47 


77 


78 


74.59 


22.80 


74.49 


23.13 


74.39 


23.46 


74,29 


23.78 


78 


79 


75.55 


23.10 


75.45 


23.43 i 


75.34 


23.76 


75.24 


24.08 


79 


80 
81 


76.50 


23.39 


76.40 


23.72 1 


76.. 30 


24.06 


76.19 


24.39 


80 


77.46 


23.68 


77.36 


24.02 


77.25 


24.36 


77.14 


24.69 


81 


82 


78.42 


23.97 


78.31 


24.32 1 


78.20 


24.66 


78,10 


25.00 


82 


83 


79.37 


24.27 


79.27 


24.61 ; 


79.16 


25.96 


79,05 


25.30 


83 


84 


80.33 


24.56 


80.22 


24.91 ■ 


80.11 


25.26 


80,00 


25,61 


84 


85 


81.29 


24.85 


81.18 


25.21 i 


81.07 


25.56 


80,95 


25,91 


85 


86 


82.24 


25.14 


82.13 


25.50 


82.02 


25.86 


81.91 


26,22 


86 


87 


83.20 


25.44 


83.09 


25.80 


82.97 


26.16 


82.86 


26,52 


87 


88 


84.15 


26.73 


84.04 


26.10 


83.93 


26.46 


83,81 


26,83 


88 


89 


85.11 


26.02 


85.00 


26.39 


84.88 


26.76 


84.76 


27.13 


89 


90 
91 


86.07 


26.31 


85.95 


26.69' 


85.83 


27.06 


85.72 


27.44 


90 


87.02 


26.61 


86.91 


26.99 


86.79 


27.36 


86.67 


27.74 


91 


92 


87.98 


26.90 


87.86 


27.28 i 


87.74 


27.66 


87.62 


28.05 


98 


93 


88.94 


27.19 


88.82 


27.58 


88.70 


27.97 


88.57. 


28.35 


93 


94 


89.89 


27.48 


89.77 


27.87 


89.65 


28.27 


89.53 


28.66 


94 


95 


90.85 


27,78 


90.73 


28.17 


90.60 


28.57 


90.48 


28.96 


95 


96 


91.81 


28.07 


91.68 


28.47 


91. .56 


28.87 


91.43 


29.27 


96 


97 


92.76 


28.. 36 


92.64 


28.76 


92.51 


29.17 


92.38 


29.57 


97 


98 


93.72 


28.65 


93.59 


29.06 


93.46 


29.47 


93.33 


29.88 


98 


99 


94.67 


28.94 


94.55 


29.36 


94,42 


29.77 


94.29 


30.18 


99 


100 

aJ 
o 

c 

s 
5 


95.63 


29.24 


.95.50 


29.65 


95.37 


.30.07 


95.24 


30.49 


100 


Dep. 


Lat. 


Dep. 


Lat. ^ 


Dep. 


Lat. 


Dep. 


Lat.' 


1 

5 


73 Deg. 


721 Deg. 


72i Deg. 


72i Deg. 



38 



TRAVERSE TABLE. 



D 


1 
18 Deg. 


18i Deg. 


18^ 


Deg. 


18| Deg. 


? 

1 


Lai. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.95 


0.31 


0.95 


0.31 


0.95 


0.32 


0.95 


0.32 


2 


1.90 


0.62 


1.90 


0,63 


1.90 


0.63 


1.89 


0.64 


2 


3 


2.85 


0.93 


2.85 


0.941 


2.84 


0.95 


2.84 


0.96 


3 


4 


3.80 


1.24 


3.80 


1.25 


3.79 


1.27 


3.79 


1.29 


4 


5 


4.76 


1.55 


4.75 


1.57 


4.74 


1.59 


4.73 


1.61 


5 


6 


5.71 


1.85 


5.70 


1.88 


5.69 


1.90 


5.68 


1.93 


6 


7 


6.66 


2.16 


6.65 


2.19 


6.64 


2.22 


6.63 


2.25 


7 


8 


7.61 


2.47 


7.60 


2 = 51 


7.59 


2.54 


7.58 


2.57 


8 


9 


8.56 


2.78 


8.55 


2.82 


8.53 


2.86 


8.52 


2.89 


9 


10 
11 


9.51 


3.09 


9.50 


3.13 


9.48 


3.17 


9.47 


3.21 


10 


10.46 


3.40 


10.45 


3.44 


10.43 


3.49 


10.42 


3.54 


11 


12 


11.41 


3.71 


11.40 


3.76 


11.38 


3.81 


11.36 


3.86 


12 


13 


12.36 


4.02 


12.35 


4.07 


12.33 


4.12 


12.31 


4.18 


13 


14 


13.31 


4.33 


13.30 


4.38 


13.28 


4.44 


13.26 


4.50 


14 


15 


14.27 


4.64 


14.25 


4.70 


14.22 


4.76 


14.20 


4.82 


15 


16 


15.22 


4.94 


15.20 


5.01 


15.17 


5.08 


15.15 


5.14 


16 


17 


16.17 


5.25 


16.14 


5.32 


16.12 


5.39 


16.10 


5.46 


17 


18 


17.12 


5.56 


17.09 


5.64 


17.07 


5.71 


17.04 


5.79 


18 


19 


18.07 


5.87 


18.04 


5.95 


18.02 


6.03 


17.99 


6.11 


19 


20 
21 


19.02 


6.18 


18.99 


6.26 1 


18.97 


6.35 


18.94 


6.43 


20 


19.97 


6.49 


19.94 


6.58 


19.91 


6.66 


19.89 


6.75 


21 


22 


20.92 


6.80 


20.89 


6.89 


20.86 


6.98 


20.83 


7.07 


22 


23 


21.87 


7.11 


21.84 


7.20 


21.81 


7.30 


21.78 


7.39 


23 


24 


22.83 


7.42 


22.79 


7,52 


22.76 


7.62 


22.73 


7.71 


24 


25 


23.78 


7.73 


23.74 


7.83 


23.71 


7.93 


23.67 


8.04 


25 


26 


24.73 


8.03 


24.69 


8.14 


24.66 


8.25 


24.62 


8.36 


26 


27 


25.68 


8.34 


25.64 


8.46 


25.60 


8.57 


25.57 


8.68 


27 


28 


26.63 


8.65 


26.59 


8.77 


26.55 


8.88 


26.51 


9.00 


28 


29 


27.58 


8.96 


27.54 


9.08 


27.50 


9.20 


27.46 


9.32 


29 


30 


28.53 


9.27 


28.49 


9.39 


28.45 


9.52 


28.41 


9.64 


30 


31 


29.48 


9.58 


29.44 


9.71 


29.40 


9.84 


29.35 


9.96 


31 


32 


30.43 


9.89 


30.39 


10.02 


30.35 


10.15 


30.30 


10.29 


32 


33 


31.38 


10.20 


31.34 


10.33 


31.29 


10.47 


31.25 


10.61 


33 


34 


32.34 


10.51 


32.29 


10.65 


32.24 


10.79 


32.20 


10.93 


34 


35 


33.29 


10.82 


33.24 


10.96 


33.19 


11.11 


33.14 


11.25 


35 


36 


34.24 


11.12 


34.19 


11.27 


34.14 


11.42 


34.09 


11.57 


36 


37 


35.19 


11.43 


35.14 


11.59 


35.09 


11.74 


35.04 


11.89 


37 


38 


36.14 


11,74 


36.09 


11.90 


36.04 


12.06 


35.98 


12.21 


38 


39 


37.09 


12.05 


37.04 


12.21 


36.98 


12.37 


36.93 


12.54 


39 


40 


38.04 


12.36 


37.99 


12.53 


37.93 


12.69 


37.88 


12.86 
13.18 


40 
41 


41 


38.99 


12.67 


38.94 


12.84 


38.88 


13.01 


38.82 


42 


39.94 


12.98 


39.89 


13.15 


39.83 


13.33 


39.77 


13.50 


43 


43 


40.90 


13.29 


40.84 


13.47 


40.78 


13.64 


40.72 


13.82 


43 


44 


41.85 


13.60 


41.79 


13.78 


41.73 


13.96 


41.66 


14.14 


44 


45 


42.80 


13.91 


42.74 


14.09 


42.67 


14.28 


42.61 


14.46 


45 


46 


43.75 


14.21 


43.69 


14.41 


43.62 


14.60 


43.56 


14.79 


46 


47 


44.70 


14.52 


44.64 


14.72 


44.57 


14.91 


44.51 


15.11 


47 


48 


45.65 


14.83 


45.59 


15.03 


45.52 


15.23 


45.45 


15.43 


48 


49 


46.60 


15.14 


46.54 


15.35 


46.47 


15.55 


46.40 


r5.75 


49 


50 


47.55 


15.45 


47.48 


15.66 


47.42 


15.87 


47.35 


16.07 


60 


6 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


l_ 


72 


Deg. 


7l| Deg. 


7H 


Deg. 


7U 


Deg. 



TE AVERSE TABLE. 



39 



s 


18 Deg. 


184 Deg. 


18i Deg. 


18| Deg. 


1 
ti 

9 

51 


51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


48.50 


15.76 


48.43 


15.97 


48.36 


16.18 


48.29 


16.39 


52 


49.45 


16.07 1 


49.38 


16.28 


49.31 


16.50 


49.24 


16.71 


52 


53 


50.41 


16.38 1 


50.33 


16.60 


50.26 


16.82 


50.19 


17.04 


53 


54 


51.36 


16.69 1 


51.28 


16.91 


51.21 


17.13 


51.13 


17.36 


54 


55 


52.31 


17.00 


52.23 


17.22 


52.16 


17.45 


52.08 


17.68 


55 


56 


53.26 


17.30 


53.18 


17.54 


53.11 


17.77 


53.03 


18.00 


56 


57 


54.21 


17.61 


54.13 


17.85 


54.05 


18.09 


53.98 


18.32 


57 


58 


55.16 


17.92 


55.08 


18.16 


55.00 18.40 


54.92 


18.64 


58 


59 


56.11 


18,23 


56.03 


18.48 


55.95 1 18.72 


55.87 


18.96 


59 


60 
61 


57.06 
58.01 


18.54 

18 85 


56.98 


18.79 


56.90 


19.04 


56.82 


19.29 


60 
61 


57.93 


19.10 


57.85 


19.36 


57.76 


19.61 


62 


58.97 


19.16 


.58.88 


19.42 


58.80 


19.67 


58.71 


19.93 


62 


63 


59.92 


19.47 


59.83 


19.73 


59.74 


19.99 


59.66 


20.25 


63 


64 


60.87 


19.78 


60.78 


20.04 


60.69 


20.31 


60.60 


20.57 


64 


65 


61.82 


20,09 


61.73 


20.36 


61.64 


20.62 


61.55 


20.89 


65 


66 


62.77 


20.40 


62.68 


20.67 


62.59 


20.94 


62.50 


21.22 


66 


67 


63.72 


20.70 


63.63 


20.98 


63.54 


21.26 


63.44 


21.54 


67 


68 


64.67 


21.01 


64.58 


21.30 


64.49 


21.58 


64.39 


21.86 


68 


69 


65.62 


21.32 


65.53 


21.61 


65.43 


21.89 


65.34 


22.18 


69 


70 
71 


66.57 


21.63 
21.94 


66.48 
67.43 


21.92 


66.38 
67.33 


22.21 


66.29 


22.50 

22.82 


70 

71 


67.53 


22.23 


22.53 


67.23 


72 


68.48 


22.25 


68.38 


22.55 


68.28 


22.85 


68.18 


23.14 


72 


73 


69.43 


22.56 


69.33 


22.86 


69.23 


23.16 


69.13 


23.47 


73 


74 


70.38 


22.87 


70.28 


23.17 


70.18 


23.48 


70.07 


23.79 


74 


75 


71.33 


23.18 


71.23 


23.49 


71.12 


23.80 


71.02 


24.11 


75 


76 


72.28 


23.49 


72.18 


23.80 


72.07 


24.12 


71.97 


24.43 


76 


77 


73.23 


23.79 


73.13 


24.11 


73.02 


24.43 


72.91 


24.75 


77 


78 


74.18 


24.10 


74.08 


24.43 


73.97 


24.75 


73.86 


25.07 


78 


79 


75.13 


24.41 


75.03 


24.74 


74.92 


25.07 


74.81 


25.39 


7S 


80 
81 


76.08 
77.04 


24.72 
25.03 


75.98 


25.05 


75.87 


25.38 


75.75 


25.72 
26.04 


80 
81 


76.93 


25.37 


76.81 


25.70 


76.70 


82 


77.99 


25.34 


77.88 


25.68 


77.76 


26.02 


77.65 


26.36 1 82 1 


83 


78.94 


25.65 


78.83 


25.99 


78.71 


26.34 


78.60 


26.68 ! S?A 


84 


79.89 


25.96 


79.77 


26.31 


79.66 


26.65 


79.54 


27.00 


84 


85 


80.84 


26.27 


80.72 


26.62 


80.61 


26.97 


80.49 


27.32 


85 


86 


81.79 


26.58 


81.67 


26.93 


81.56 


27.29 


81.44 


27.64 


86 


87 


82.74 


26.88 


82.62 


27.25 


82.50 


27.61 


82.38 


27.97 


87 


88 


83.69 


27.19 


83.57 


27.56 


83.45 


27.92 


83.33 


28.29 


88 


89 


84.64 


27.50 


84.52 


27.87 


84.40 


28.24 


84.28 


28.61 


85 


90 
91 


85.60 


27.81 


85.47 


28.18 


85.35 


28.56 
28.87 


85.22 


28.93 


90 


86.55 


28.12 


86.42 


28.50 


86.30 


86.17 


29.25 


91 


92 


87.50 


28.43 


87.37 


28.81 


87.25 


29.19 


87.12 


29.57 


92 


93 


88.45 


28.74 


88.32 
89.27 


29.12 


88.19 


29.51 


88.06 


29.89 


93 


94 


89.40 


29.05 


29.44 


89.14 


29.83 


89.01 


30.22 


94 


95 


90.35 


29.. 36 


90.22 


29.75 


90.09 


30.14 


89.96 


30.54 


95 


96 


91.30 


29.67 


91.17 


30.06 


91.04 


30.46 


90.91 


30.86 


96 


97 


92.25 


29.97 


92.12 


30.38 


91.99 


30.78 


91.85 


31.18 


97 


98 


93.20 


30.28 


93.07130.69 


92.94 


31.10 


92.80 


31.. 50 


98 


99 


94.15 


30.. 59 


94.02 


31.00 


93.88 


31.41 


93.75 


31.82 


99 


100 

1 


95.11 


30.90 


94.97 


31.32 


94.83 


31.73 


94.69 


32.14 


100 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 


72 Deg. 


711 Deg. 


71|Deg. 


m Deg. 



40 



TRAVLRaE TAELL. 





19 Deg. i! 19i Deg. 

1! 


ij mDeg. ! 191 Deg. 

i •' 


2 
1 


Lat. 


Dep. J! Lat..^ 


Dep. 


1 L... 


Dep. 
0.33 


II Lat. 1 Dep. 


1 


0.95 


0.33 


ii 0.94 


0.33 


' 0.94 


'! 0.94; 0.34 


2 


1.89 


0.65 


'1 1.89 


0.66 


; 1.89 


0.67 


'j 1.88; 0.68 


2 


3 


2.84 


0.98 


'i 2.83 


0.99 


; 2.83 


1.00 


: 2.82' 1.01 


3 


4 


3.78 


1.30 


:i 3.78 


1.32 


!; 3.77 


1.34 


ii 3.76 1 1.35 


4 


5 


4.73 


1.63 


!' 4.72 


1.65 


\\ 4.71 


1.67 


:; 4.71 1.69 


5 


6 


5.67 


1.95 


: 5.66 


1.98 II 5.66 
2.31 ! 6.60 


2.00 


:l 5.65 2.03 


6 


7 


6.62 


2.28 


: 6.61 


2.34 


j 6.59 2.37 


7 


8 


7.56 


2.60 


7.55 


2.64; 7.54 


2.67 


7.53 2.70 


8 


9 


8.51 


2.93 


8. .50 


2.97! 8.48 


3.00 


1 8.47 3.04 


9 


10 


9.46 I 3.26 


9.44 


3.30 j! 9.43 


3.34 


; 9.411 3.38 


]0 
11 


11 


10.40 3.58 


10.38 


3.63 ! 10.37 


3.67 


10.35: 3.72 


12 


11.35 3.91 


11.33i 3.96 ;! 11.31 


4.01 


11.29; 4.06 


12 


13 


12.29 4.23 


12.27 i 4.29 I! 12.25 


4.34 


i 12.24; 4.39 


13 


14 


13.24 


4.56 


13.22! 4.62 jl 13.20 


4.67 


! 13.18 4.73 


14 


15 


14.18 


4.88 


14.l6i 4.95 


14.14 


5.01 


• 14.12 5.07 


15 


16 


15.13 


5.21 


15.11 5.28 


15.08 


5.34 15.06 i 5.41 


16 


17 


16.07 


5.53 


16.05 5.60 i; 16.02 


5.67 : 16.00 1 5.74 


17 


18 17.02 1 5.86 


16.99 5.93 1116.97 


6.01 16.94! 6.08 


18 


19 117.96 6.19 


17.94 i 6.26 ;i 17.91 i 6.34 


17.88 ! 6.42 


19 


20 1 18.91 


6.51 


18.88 ; 6.59 :; 18.85 1 6.68 
19.83 6.92,1 19.80 i 7.01 


18.82 1 6.76 
19.76 1 7.10 


20 

21 


21 19.86 


6.84 


22 20.80 


7.16 


20.77 


7.25 20.74 7.34 


20.71 


7.43 


22 


23 21.75 


7.49 


21.71 


7.58:121.68 7.68 


21.65 


7.77 


23 


24 


22.69 


7.81 


22.66 


7.91 (22.62 8.01 


22.59 


8.11 


24 


25 


23.64 


8.14 


23.60 


8.24 
8.57 


23.57 8.35 


23.53 


8.45 


25 


26 


24.58 


8.46 


24.55 


24.51 


8.68 i 


24.47 1 8.79 


26 


27 


25.53 


8.79 


25.49 


8.90 


25.45 


9.01 - 


25.41 i 9.12 


27 


28 


26.47 


9.12 


26.43 


9.23! 


26.39 


9.35' 


26 . 35 


9.46 


28 


29 


27.42 


9.44 


27.38 


9.66 


27.34 


9.68- 


27.29 


9.80 


29 


30 


28.37 


9.77 


2S.32 


9.89 : 


28.28 


10.01 : 
10.35 


28.24 


10.14 


30 


31 


29.31 


10.09 1 


29.27! 


10.22 < 


29 . 22 


29.18 


10.48 


3i 


32 


30.26 


10.42 i 


30.21 1 10.55 1 


30.16 


10.681 


30.12 


10.81 


32 


33 


31.20 


10.74; 


31.15! 10.88 ; 


31.11 


11.02 


31.06 


11.15 


33 


34 32.15 1 


11.07 


32.10 


11.21; 
11.54! 


32.05 


11.35 


32.00 


11.49 


34 


.35 133.09 11.39 i 


33.04 


32.99 


11.68 


32.94 


11.83 


35 


36 i 34.04' 11.72 ! 


33.99 


11.87! 


33.94 


12.02' 


33.88 


12.17 


36 


37 134.98 ' 12.05 ' 


34.93: 12.20 1 


34.88 12.35 


34.82 


12.50 


37 


38 j 35.93 12.37 1 


35.88 i 12.53 


35.82 ' 12.68; 


35.76 


12.84 


38 


39 136.88 : 12.70 


36.82 12.86 1 


36.76 j 13.02 


36.71 1 13.18 


39 


40 37.82 ! 13.02 

41 i 38.77 i 13.35 


37.76 13.19 j 
38.71 13.52 ; 


37.71 13.35! 


37.65 1 13.52 


40 


38.65 


13.69 1 


38.59 i 13.85 


41 


42 39.71 i 13.67 \ 


39.65 13.85 


39.59 


14.02' 


39.53 1 14.19 42 


43 40.66 ; 14.00 \ 


40.60' 14.18 ; 


40.53 


14.35; 


40.47 114.53 43 


44! 41.60 14.32 1 


41.54; 14.51 1 


41.48 


14.69' 


41.41 14.87 


44 


45 42.55 14.65 


42.48: 14.84 1 


42.42 


15.02: 


42.35 15.21 


45 


46 143.49 14.98 


43.43' 15.17 1, 


43.36 


15.36! 


43.29 15.54 


46 


47 144.44 15.30 1 


44.37 i 15.50 ji 


44.30 


15.69 1 


44.24 1 15.8S1 


47 


48 145.38 15.63 


45.32. 15.83 j 


45.25 


16.02 1 


45.18 


16.22 


43 


49 1 46.33 15.95 


46.26! 16.15 i 


46.19 


16.36 i 


46.12 


16.56 


49 


50 ; 47.28; 16.28 ; 


47.20 i 16.48 j 


47.13 


16.69 j 
Lat. ! 


47.06 
Dep. 


16.90 


50 


1 


Dep. Lat. ; 


Dep. 1 Lat. 


Dep. 


Lat. 


g 

5 


s 




71 Deg. 


701 Deg. 


TQiDeg. 1 


70^ Deg. 



TB AVERSE TABLE. 



41 



i" - 

51 


19 Deg. 


i 
19^ Deg. 


19| Dog-. 


191 Deg. 


O 

1 

o 
? 

"51 


Lat. 1 Dep. 


Lat. 


Dep. 1 


Lat. 


Dep. 


Lat. 


Dep. 


48.22 i 16.60 ','48. 15 


16.81 1 


48.07 


17.02 


48.00 


17.23 


52 


49.17; 16.93 1149.09 


17.14 


49.02 


17.36 


48.94 


17.57 


52 


53 


50.11 1 17.26!! 50.04 


17.47 |i 


49.96 


17.39 


49.88 


17.91 


53 


54 


51.06 i 17.58 50.98 
52.00 1 17.91 51.92 


17.80 jl 


50.90 


18.03 


.50.82 


18.25 


54 


55 


18.13 ij 
18.46! 


51.85 


18.36 


51.76 


18.59 


55 


56 


52.95 1 18.23 1 


52.87 


.52.79 


18.69 


52.71 18.92 1 


66 


57 


53.89 i 18.56 ; 


53.81 


18.79 1 


53.73 


19.03 


53.65 


19.26 1 


57 


58 


54.84 i 18.88! 


54.76 


19.12 i 


54.67 


19.33 


54.59 


19.60 


58 


59 


55.79! 19.21 ! 


55.70! 19.45! 


55.62 


19.69 


55.53 


19.94 


59 


60 
61 


56.73 1 19.53 i 


56.65 


19.78 1 


56.56 


20.03 

20,36 


56.47 


20.27 


60 
"61 


57.68 i 19.86! 


57.59 


20.11 1 


57.50 


57.41 


20.61 


62 


58.62 120.19 


.58.53 


20.44! 


58.44 


20.70 


58.35 


20.95 


62 


63 


59.57 20.51 


59.48 


20.77 


59.39 


21.03 1 


59.29 


21.29 


63 


64 


60.51 20.84 


60.42 


21.10 


60.33 


21.36 


60.24 


21.63 


64 


65 


61.46 21.16 


61.37 


21.43 


61.27 


2i.70 


61.18 


21.96 


65 


66 


62.40 121.49 


62.31 


21.76 


62.21 


22.03 


62.12 


22.30 


66 


67 


63.35 ; 21.81 


63.25 


22.09 


63.16 


22.37 


63.05 


22.64 


67 


68 


64.30 1 


22.14 


64.20 


22.42 


64.10 


22.70 


64.00 


22.98 


68 


69 


65.24 


22.40 


65.14 


22.75; 


85.04 


23.03 


64.94 


23.32 


69 


70 

71 


66. L9 


22.79 


66.09 


23.08 i65.9S 


23.37 


65 . 88 


23.65 


70 
71 


67.13 


23.12 


67.03 


23.41 


66.93 


23.70 


66.82 


23.99 


72 


68.08 


23.44 


67.97 


23.74 


67 . .'^^ ; 


24.LI3 


67.76 


24.33 


72 


73 


69.02 


23.77 


68.92 


24.07 


68. 8 i 


24.37 


68.71 


24.67 


73 


74 


69.97 


24.09 


69.86 


24.40 


69.76 


24.70 


69.65 


25.01 


74 


75 


70.91 


24.42 


70.81 


24.73 


70.70 


25.04 


70.59 


25.34 


75 


76 


71.86 


24.74 


71.75 


25.06 


71.04 


25.37 


71.53 


25.68 


78 


77 


72.80 25.07' 


72.69 


25.39 


72 . 5S 


25 . 70 


' 72.47 


26.02 


77 


78 


73.75 25.39 


73.64 


25.72 ii 73.53 


26.04 


! 73.41 


26.36 


78 


79 


74.70 25.72 


74.58 


26.05 


|74,4'>' 


26 = 37 


i 74.35 


26.70 


79 


80 
81 


75.64 26.05 


75..53I 26.38 


75.41 


26. ?0 


i 75.29 


27.03 


80 

8i 


76.59 I 26.37 


76.47 


26.70 


76.35 


27.04 


1 76.24 


27.37 


82 


77.53 


26.70 


77.42 


27.03 


77 . 30 


27.37 


1 77.18 


27.71 


82 


83 


78.48 


27.02 


78.36 


27.36 


78.24 


2?. 71 


! 78.12 


28.05 


83 


84 


79.42 


27.35 


79.30 


1 27.69 


79. i 8 


2?, 04 


; 79.06 


28.39 


84 


85 


80.37 


27.67 


80.25 


28.02 


8C . ! 2 


2S.37 


! 80.00 


28 . 72 


85 


86 


81.31 


28.00 


81. Id 


128.35 


8i.07 


28.71 


180.94 


29.06 


86 


87 


82.26 


28.32 


82.14 


128.68 


82. 'Jl 


29.04 


;i 81.88 


29.40 


87 


88 


83.21 


28.65 


83.08 


29.01 


92 . 95 


29..37 11 82.82 


29.74 


88 


89 


84.15 


28.98 


84.02 


29.34 


83.90 


29.71 


1183.76 


30.07 


89 


90 

'91 


85.10 


29.30 


84.97 


29.67 


84 - S4 


30.04 


Ij 84.71 

1 85.65 


30.41 


90 
91 


86.04 


29 . 63 


85.91 1 30.00 


1 85 . 78 


30 . 38 


30.75 


92 


86.99 


29.95 


86.86 


30.33 


186.72 


30.71 


86.59 


31.09 


92 


93 


87.93 


30.28 


87.80 


30.66 


187.67 


3i.04 


187.. 53 

88.47 

189.41 


31.43 


93 


94 


88.88 


30.60 


88.74 


30.99 


88.81 


31.38 


31.76 


94 


95 


89.82 


30.93 


89.69 


31.32 


89.. 55 


31.71 


32.10 


95 


96 


90.77 


31.25 


90.63 


31.65 


90.49 


32.05 


90.35 


32.44 


9^; 


97 


91.72 


31.58 


91.58 


31.98 


91.44 


32.38 


1 91.29 


32 . 78 


9? 


98 


92.66 


31.91 


92.52 


32.31 


92 . 38 


32.71 


92.24 


33.12 


98 


99 


93.61 


32.23 


93.46 


32.64 


93 32 


33.05 


! 93.18 


33.45 


99 


100 

i 


94.55 


32.56 


94.41 


32.97 


94 26 


33.38 


1 94.12 


33.79 
Lat. 


100 

a 

.2 


Dep. 


Lat. 


Dep. 


Lat. 


Dsp. 


Lat. 


Dep. 


71 Deg. 


70f Deg. 


TOi Deg. 


70; i>eg 



42 



TSAVEESE TABLE. 



g 
~1 


20 Deg. J! 20+ Deg. 


20^ Deg. 


i; 201 Dog. 


C 

i 

i 


Lat. 1 Dep. 


1 Lat. 1 Dep. 


' Lat. 


Dep. 


' Lat. 1 Dep. 


0.94 0.34 


0.94 0.35 


0.94 


0.35 


0.94 i 0.35 


2 


1.88: 0.68 


1.88 0.69 


1.87 


0.70 


1.87 1 0.71 


2 


3 


2.82 1.03 


2.81 1.04 


2.81 


1.05 


2.81; 1.06 


3 


4 


3.76^ 1.37 


! 3.75 1.38 


3.75 


1.40 


3.74 1.42 


4 


5 


4.70i 1.71 


1 4.69 1.73 


, 4.68 


1.75 


4.68 1.77 


5 


6 


5.64i 2.05 


1 5.63 1 2.08 


5.62 


2.10 


5.61 2.13 


6 


7 


6.58; 2.39 


: 6.57 2.42 


^ 6.56 


2.45 


6.55 2.48 


7 


8 


7.52 2.74 


: 7.51 2.77 


7.49 


2.80 


7.48 1 2.83 


8 


9 


8.46 3.08 


8.44 3.12 


8.43 


3.15 


8.42; 3.19 


9 


10 
11 


9.40 3,42 
10.34 3.76 


9.38 3.46 
10,32; 3.81 


9.37 


3.50 


9.35 3.54 
: 10.29 ; 3,90 


10 
11 


10.30 


3.85 


12 


11. 2S 4.10 


11.26 1 4.15 


11.24 


4.20 


, 11.22 i 4.25 


12 


13 


12.22 4.45 


12.20 4.50 


12.18| 4.55 


12.16; 4.61 


13 


14 


13.16 4.79 


13.13 4.85 


13.11! 4.90 


13.09' 4.96 


14 


15 


14.10 5.13 


14.07 5.19 


14.05 5.25 


14.03 5.31 


15 


16 


15.04^ 5.47 


15.01 5.54 


14.99 


5.60 


14.96 5.67 


16 


17 


15.97, 5.81 


15.95! 5.88 


15.92 


5.95 


15.90: 6.02 


17 


18 


16.911 6.16 


16.89 1 6.23 


16.86 


6.30 


16.83 6.38 


18 


19 


17.85 1 6.50 


17.83 1 6.58 


17.80 


6.65 


17.77 6.73 


19 


20 


18.79 6.84 


18.76, 6.92 
19.70 i 7.27, 


18.73 1 7.00 
19.67i 7.35 


18.70' 7.09 


20 

21 


21 


19.73 7.18 


19.64' 7.44 


22 


20,67. 7.52 


20.64 i 7.61 


20,61 : 7.70 


20.57; 7.79 


22 


23, 


21.61: 7.87 21.58: 7.96 


21.54: 8.05 


21.51^ 8.15 


23 


24 


22.55! 8.21 


22.52; 8.31 


22.48: 8.40. 


22.44 i 8.50 


24 


25 i 


23.49 8.55 


23.45! 8.65 


23.42 1 8.76 


23.38: 8.86 


25 


26: 


24.43 8.89 


24.39 1 9.00 


24.35: 9.11 


24.31 j 9.21 


26 


27 • 


25.37 9.23 


25.33! 9.35- 


25.29' 9.46, 


25.25: 9.57 


27 


28 


26.31 9.58 


26.27! 9.69; 


26.23; 9.81 


26.18. 9.92 


28 


29 


27.25 9.92 


27.21 10.04 


27.16: 10.16 : 


27.12; 10.27 


29 


30: 


23.19 10.26 


28.15:10.38 


28.10 10.51 ' 


28.05' 10.63 


30 


31 


29.13 10.60 


29.08, 10.73 


29.04 10.86 


28.99 10.98 


31 


32. 


30.07 ]0.94 


30.02, 11.08 


29.97 11.21 i 


29.92, 11.34 


32 


33 


31.01 11.29 


30.96 j 11.42} 


3U.91 11.56 


30.86] 11.69 


33 


34 


31.95 11,63 


31.90! 11.77; 


31.85 11.91 i 


31.79 1 12.05 


34 


35 


32.89 11.97: 


32.84; 12.11 : 


32.78! 12.26 1 


32.73! 12.40 


35 


36 


33.83 12.31 


33.77; 12.46 


33.72: 12.61 ! 


33.66 i 12.75 


36 


37 


34.77 12.65 


34.71 1 12.81 34.66; 12.96 


34.60 j 13.11 


37 


38 . 


35.71 13.00 


35.65)13.15 35.59 1 13.31 


35.54 


13.46 


38 


39' 


36.65 13.34 


36..59; 13.50 36..53: 13.66 


36.47 


13.82 


39 


40 

41 


37.59 13.68 
38,53 14.02 


37.53 ! 13. S4 37.47 14.01 ! 
38.47; 14. IP 3S.40 14.36; 


37.41 


14.17 


40 

41 


38.34: 14.53 1 


42 , 


39.47 14.36 


39 40; 14.. 54 39.34:14.71 


39.28, 14.88 


42 


43 


40.41 14.71 


40.34:14.88 40.28 15.06 


40.21 : 15.23 


43 


44 


41.35 15.05! 


41.28 115.23 41.21:15.41 


41.15: 15.59 


44 


45 


42.29 15.39 


42.22 i 15.58 42.15 15.76 


42.08 i 15.94 


45 


46, 


43.23 15.73 ' 


43.16 115.92 43.09.16.11 


43.02; 16.30 


46 


47 


44.17 16.07 


44.09 i 16.27 44.02 i 16.46 


43.95 16.65 1 


47 


48 


45.11 16.42 


45.03,16.61 44.96 i 16.81 


44.89; 17.01 1 


48 


49 


46.04 16.76 


45.97' 16.96 45.90! 17.16 


45.82 i 17.36 


49 


50 

d 

II 


46.98 


17.10 
La..| 

^ i 


46.91 


17.31 


46.83 1 
Dep. 


17.51 


46.76! 17.71 


50 

1 


Dep. 


Dep. 


Lat. i 


Lat. 


Dep. 1 Lat. 


701 


691 


Deg. 


69i Deg. 

1 


694 Deg. 



TRAVERSE TABLE. 



43 





20 Deg. 


20i Deg. 


20^ Deg. 


201 Deg. 


1 
51 




§ - 

51 


Lat. 


Dep. 


Lat. 


Dep. 
17.'65 


Lat. 
47.77 


Dep. 


Lat. 


Dep. 




47.92 


17.44 


47.85 


17.86 


47.69 


18.07 




52 


48.86 


17.79 


48.79 


18.00 


48.71 


18.21 


48.63 


18.42 


52 




53 


49.80 


18.13 


49.72 


18.34 


49.64 


18.56 


49.56 


18.78 


53 




54 


50.74 


18.47 


50.66 


18.69 


50.58 


18.91 


50.50 


19.13 


54 




55 


51.68 


18.81 


51.60 


19.04 


51.52 


19.26 


51.43 


19.49 


55 




56 


52.62 


19.15 1 


52.54 


19.38 


52.45 


19.61 


52.37 


19.84 


56 




57 


53.56 


19.50 


53.48 


19.73 


53.39 


19.96 


53.30 


20.19 


57 




58 


54.50 


19.84 


54.42 


20.07 


54.33 


20.31 


54.24 


20.55 


58 




59 


55.44 


20.18 


55.35 


20.42 


55.26 


20.66 


55.17 


20.90 


59 




60 
61 


56.38 


20.. 52 


56.29 


20.77 


56.20 


21.01 


56.11 


21.28 


60 
61 




57.32 


20.86 


57.23 


21.11 


57.14 


21.36 


57.04 


21.61 




62 


58.26 


21.21 


58.17 


21.46 


58.07 


21.71 


57.98 


21.97 


62 




63 


59.29 


21.55 


59.11 


21.81 


59.01 


22.08 


58.91 


22.32 


63 




64 


60.14 


21.89 


60.04 


22.15 


59.95 


22.41 


59.85 


22.67 


64 




65 


61.08 


22.23 


60.98 


22.50 


60.88 


22.76 


60.78 


23.03 


65 




66 


62.02 


22.57! 


61.92 


22.84 


61.82 


23.11 


61.72 


23.38 


66 




67 


62.96 


22.92 1 


62.86 


23.19 


62.76 


23.46 


62.65 


23.74 


67 




68 


63.90 


23.26 1 


63.80 


23.54 


63.69 


23.81 


63.59 


24.09 


68 




69 


64.84 


23.60; 


64.74 


23.88 


64.63 


24.16 


64.52 


24.45 


69 




70 
71 


65.78 
66.72 


23.94! 

24.28 1 


65.67 


24.23 


65.57 
66.50 


24.51 


65.46 


24.80 


70 
71 




66.61 


24.57 


24.86 


66.39 


25.15 




72 


67.66 


24.63 ! 


67.55 


24.92 


67.44 


25.21 


67.33 


25.51 


72 




73 


68.60 


24.97 


68.49 


25.27 


68.38 


25.57 


68.26 


25.86 


73 




74 


69.54 


25.31,', 


69.43 


25.61 


69.31 


25.92 


69.20 


26.22 


74 




75 


70.48 


25.65 


70.36 


25.96 


70.25 


26.27 


70.14 


26.57 


75 




76 


71.42 


25.99 


71.30 


26.30 


71.19 


26.62 


71.07 


26.93 


76 




77 


72.36 


26.34 


72.24 


26.65 


72.12 


26.97 


72.01 


27.28 


77 




78 


73.30 


26.68! 


73.18 


27.00 


73.06 


27.32 


72.94 


27.63 


78 




79 


74.24 


27.02! 


74.12 


27.34 


74.00 


27.67 


173.88 


27.99 


79 




80 
81 


75.18 


27.36! 


75.06 


27.69 


74.93 


28.02 


74.81 


28.34 


80 

81 




76.12 


27.70 


75.99 


28.04 


75.87 


28.37 


75.75 


28.70 




82 


77.05 


28.05 


76.93 


28.38 


76.81 


28.72 


76.68 


29.05 


82 




83 


77.99 


28.39 


77.87 


28.73 


77.74 


29.07 


77.62 


29.41 


83 




84 


78.93 


28.73 


78.81 


29.07 


78.68 


29.42 


78.55 


29.76 


84 




85 


79.87 


29.07 


79.75 


29.42 


79.62 


29.77 


79.49 


30.11 


85 




86 


80.81 


29.41 


80.68 


29.77 


80.55 


30.12 


80.42 


30.47 


86 




87 


81.75 


29.76 


81.62 


30.11 


81.49 


30.47 


81.36 


30.82 


87 




88 


82.69 


30.10 


82.56 


30.46 


82.43 


30.82 


82.29 


31.18 


8S 




89 


83.63 


30.44 


83.50 


30.80 


83.36 


31.17 


83.23 


31.53 


89 




90 
91 


84.57 


30.78 


84.44 


31.15 


84.30 


31.52 


84.16 


31.89 
32.24 


90 
91 




85.51 


31.12 


85.38 


31.50 


85.24 


31.87 


85.10 




92 


86.45 


31.47 


86.31 


31.84 


86.17 


32.22 


86.03 


32.59 


92 




93 


87.39 


31.81 


87.25 


32.19 


87.11 


32.57 


86.97 


32.95 


93 




94 


88.33 


32.15 


88.19 


32.54 


88.05 


32.92 


87.90 


33.30 


94 




95 


89.27 


32.49 


89.13 


32.88 


88.98 


33.27 


88.84 


33.66 


95 




96 


90.21 


32.83 


90.07 


33.23 


89.92 


33.62 


89.77 


34.01 


96 




97 


91.15 


33.18 


91.00 


33.57 


90.86 


33.97 


90.71 


34.37 


97 




98 


92.09 


33.52 


91.94 


33.92 


91.79 


34.32 


91.64 


34.72 


98 




93 


93.03 


33.86 


92.88 


34.27 


92.73 


34.67 


92.58 


35.07 


99 




100 

.2 
Q 


93.97 


34.20 


93.82 


34.61 


93.67 


35.02 


93.51 


35.43 


100 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 




70 Deg. 


691 Deg. 


69i Deg. 


69i Deg. 

ll 







44 



TRAVERSE TABLE. 



B 21 

1'! 


Deg. 


214 Deg. 


ji 2a Deg. 

i 

}! Lat. j Dep. 


Ij 211 Deg. zi 

'1 1" 


i Lat. 


1 Dep. 


Lat. 


Dep. 


:j Lat 1 Dep. j § 


1 0.93 


1 0.36' 


0.93 


0.36 J! 0.93 0.37 ! 0.93 0..37! 1 


2 1.87 


■ 0.72 


1.86 


0.72 -j 1.86 0.73 J 1.36 0.74' 2 


3! 2.80 


1.08: 


3.80 


1.09 Ii 2.79 1.10 


i 2.79 1.11 3 


4 1 3.73 


' 1.43 


3.73 


1.45 ll 3.72) 1.47 


! 3.72 1.48 i 4 


5! 4.67 


1.79 


4.66 


1.81 II 4.65i 1.83 


1 4.64 1.85 i 5 


6l 5.60 


, 2.15 


5.59 


2.17 


! 5.58 i 3.20 


i 5.57 2.22 6 


7 1 6.54 


2.51 ! 


6.52 


2.54 


i 6.51 ! 2.57 


i 6.50; 2.59 7 


8! 7.47 


2.87 i 


7.46 


2.90 


i 7.44 i 2.93 


! 7.43 2.96 8 


9; 8.40 


3.23 


8.39 


3.26 


j 8.37 1 3.30 


! 8.36 3.34 9 


10 I 9.34 

11 : 10.27 


3.5S 


9.32 


3.62 


; 9.30' 3.67 


9.29 3.71 10 
j 10.22 4.08 11 


3.94 


10.25 


3.99 


110.23 4.03 


12 : 11.20 


4.30 


11.18 


4.35 


i 11.17 4.40 


11.15; 4.45. 12 


13 ■. 12.14 


4.66 12.12 


4.71 


113.10 4.76 


! 12.07' 4.82 ' 13 


14! 13.07 


5.02 13.05 


5.07 


13.03 j 5.13 


i 13.00 5.19 14 


15 14.00 


5.38 13.98 


5.44 


' 13.96! 5.50 13.93 5.56 15 


16 14.94 


5.73 : 14.91 


5.80 


; 14.89 1 5.86 ; 14.86 5.93 16 


17' 15.87 


6.09 


15.84 


6.16 


'■ 15.32; 6.23 I 15.79' 6.30 i 17 


18-16.80 


6.45 


16.73 


6.52 


; 16.75 i 6.60 1 16.72 6.67 , 18 


19 : 17.74 


6.81 


17.71 


6.89 


! 17.68 ! 6.96 ! 17.65 7.04 19 


2,0 18.67 


7.17 


13.64 
19.57 


7.25 

7.61 


IS. 61 ; 7.33 18.53 7.41 20 
19.54. 7.70 ; 19.50 7.78 21 


21 19.61 


7.53 


22 20.54 


7.88 


20.50 


7.97 


; 20.47 1 8.06 


20.43 8.15 23 


23 21.47 


8.24 


21.44 


8.34 


■21.40! 8.43 


121.36; 8.52 23 


24 22.41 


8.60 i 22.37 


8.70 


22.33: 8.80 


i 22.39' 8.89 34 


25 23.34 


8.96 : 23.30 


9.06 


23.26 9.16 


i 23.22 9.26 35 


26 24.27 


9.32 , 24.23 


9.42 


24.19' 9.53 


24.15; 9.63 26 


27 25.21 


9.SS : 25.16 


9.79 


.25.12^ 9.90 


25.08 10.01 ! 27 


2S . 26.14 


10.03 ' 26.10. 


10.15 


26.05 10.26 


26.01 10.38 , 23 


29 . 27.07 


10.39 


27.03 


10.51 


26.98 10.63 


36.94 ' 10.75 ' 29 


30 2S.01 

31 ,28.94 


10.75 
11.11 > 


27.96 
28.89 


10.87 
11.24 


! 27.91 11.00 
'23.84; 11.36 


27.86 11.12 30 


28.79 11.49; 31 


32 : 29.87 


11.47 


29.82 


11.60 


29.77 ; 11.73 


29.72 11.86 I 32 


33 '30.81 


11.83 


30.76 


11.96 


30.70; 12.09 


30.65 12.23 , 33 


34 ' 31 . 74 


12.18: 


31.69 


12.32 


31.63 12.46 


31.53 12.60 .34 


35 '32.68 


12.54 1 


32.62 


12.69 


32.56 12.83 


32.51 12.97 35 


36 133.61 


12.90*; 


33.55 


13.05 


33.50 13.19 


33.44 13.34 36 


37 34.54 


13.26 ii 


34.48 


13.41 ' 


34.43 i 13.56 


34.37 13.71 37 


33 : 35. 4S 


13.62 i| 


35.42 


13.77 


35.36 13.93 


35.29 14.08 33 


39 ! 36.41 


13. 9S i 


36.35 


14.14. 


36.29 14.29 


36.22 14.45 39 


40 1 37.34 


14.33 i 


37.28 


14.50 


37.22 14.66 


37.15 14.82 ' 40 


41 !3S.2S 


14.69 ' 


38.21 


14.86 f 


33.15 15.03 


33.03 15.19 41 


42 '39.21 


15.05 i 


39.14 , 


15.22 i 


39.08 15.39 


39.01 15.56 42 


43 UO.14 


15.41 i 


40.08 : 


15.58 


40.01 15.76 : 


39.94 15.93 i 43 


44 : 41.08 


15.77 ' 


41.01 : 


15.95 


40.94 16.13 ' 


40.87 16.30 ; 44 


45 = 42.01 


16.13 ! 


41.94^ 


16.31 ■ 


41.87 16.49 


41.80 16.68 ': 45 


46 42.94 


16.48 i 


42.87 ■ 


16.67 


42.80 16.86 


42.73 17.05 ! 46 


47 43.88- 


16.84 ■! 


43.80 


17.03 ; 


43.73 17.23 


43.65 : 17.42 1 47 


4S 44.81 


17.20 ■ 


44.74 


17.40 ; 


44.66 17.59 


44.58 17.79; 4^ 


49 145.75 


17.56 


45.67 


17.76 i 


45.59 17.96 


45.51 ■ 18.16 ! 49 


50 1 46.68 


17.92 ! 


46 . 60 : 


18.12 i 


46.52 18.33 


46.44! 18.53 50 


1 Dep. , 


Lat. i 


Dep. i 


Lat. 


Dep. j Lat. 


Dep. ! Lat. | | 


Q 69 Deg. ij 

i ^1 


1 
681 Deg. 


681 Deg. 


684 Deg. i i 



TRAVERSE TABLE. 



45 





f- 

51 ' 


21 Deg. 


2H Deg. 


2H Deg. 


1 
211 Deg. 


1 

51 




Lat. 


Dep. 


Lat. 
47.53 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




47.61 


18.28 


18.48 


47.45 


18.69 


47.37 


18.90 




52 


48.55 


18.64 


48.46 


18.85 


48.38 


19.06 


48.30 


19.27 


52 




53 


49.48 


18.99 


49.40 


19.21 


49.31 


19.42 


49.23 


19.64 


53 




54 


50.41 


19.35 


50.33 


19.57 


50.24 


19.79 


50.16 


20.01 


54 




55 


51.35 


19.71 


51.26 


19.93 


51.17 


20.16 


51.08 


20.38 


55 




56 


52.28 


20.07 


52.19 


20.30 


52.10 


20.52 


52.01 


20.75 


56 




57 


53.21 


20.43 


53.12 


20.66 


53.03 


20.89 


52.94 


21.12 


57 




58 


54.15 


20.79 


54.06 


21.02 


53.96 


21.26 


53.87 


21.49 


58 




59 


55.08 


21.14 


54.99 


21.38 


54.89 


21.62 


54.80 


21.86 


59 




60 
61 


56.01 


21.50 


55.92 


21.75 


55.83 


21.99 1 


55.73 
56.66 


22.23 


60 
61 




56.95 


21.86 


56.85 


22.11 


56.76 


22.36 ! 


22.60 




62 


57.88 


22.22 


57.78 


22.47 


57.69 


22.72 1 


57.59 


22.97 


62 




63 


58.82 


22.58 


58.72 


22.83 


58.62 


23.09 1 58.52 


23.35 


63 




64 


59.75 


22.94 


59.65 


23.20 


59.55 


23.46 1169.44 


23.72 


64 




65 


60.68 


23.29 


60.58 


23.56 


80.48 


23.82 li 60.37 


24.09 


65 




66 


61.62 


23.65 


61.51 


23.92 


61.41 


24.19 11 


61.30 


24.46 


66 




67 


62.55 


24.01 


62.44 


24.28 


62.34 


24.56 !' 


62.23 


24.83 


67 




68 


63.48 


24.37 


63.38 


24.65 


63.27 


24.92 I 


63.16 


25.20 


68 




69 


64.42 


24.73 


64.31 


25.01 


64.20 


25.29 i 


64.09 


25.57 


69 




70 

71 


65.35 


25.09 


65.24 


25.37 


,65.13 


25.66 i 


65.02 


25.94 


70 
71 




66.28 


25.44 i 


66.17 


25.73 


166.06 


28.02 1 


65.95 


26.31 




72 


67.22 


25.80 jl 67.10 1 


26.10 


66.99 


26.39: 


66.87 


26.68 


72 




73 


68.15 


26.16 i 


68.04 


26.46 


167.92 


26.75 : 


67.80 


27.05 


73 




74 


69.08 


26.52 


68.97 


26.82 


68.85 


27.12, 


68.73 


27.42 


74 




75 


70.02 


26.88 


69.90 


27.18 


69.78 


27.49 1 


69.66 


27.79 


75 




76 


70.95 


27.24 


70.83 


27.55 


70.71 


27.85 1 


70.59 


28.16 


76 




77 


71.89 


27.59 


71.76 


27.91 


71.64 


28.22 i 


71.52 


28.53 


77 




78 


72.82 


27.95 


72.70 


28.27 


172.57 


28.59 1 


72.45 


28.90 


78 




79 


73.75 


28.31 


73.63 


28.63 


i 73.50 


28.95 


73.38 


29.27 


79 




80 
81 


74.69 


28.67 
29.03 


74.56 
75.49 


29.00 
29.36 


74.43 


29.32 
29.69 


74.30 


29.64 


80 

81 




75.62 


75.36 


75.23 


30.02 




82 


76.55 


29.39 


76.42 


29.72 1 76.29 


30.05 


76.16 


30.39 


82 




83 


77.49 


29.74 


77.36 


30.08 i 77.22 


30.42 


77.09 


30.76 


83 




84 


78.42 


30.10 


78.29 


30.44 ! 78.16 


30.79 


78.02 


31.13 


84 




85 


79.35 


30.46 


79.22 


30.81 il 79.09 


31.15 178.95 


31.50 


85 




86 


80.29 


30.82 


80.15 


31.17 180.02 


31.52 1179.88 


31.87 


86 




87 


81.22 


31.18 


81.08 


31.53 ii 80.95 


31.89 1180.81 


32.24 


87 




88 


82.16 


31.54 


82.02 


31.89 i 81.88 


32.25 


181.74 


32.61 


88 




89 


83.09 


31.89 


82.95 


32.26 82.81 


32.62 


182.66 


32.98 


89 




90 
91 


84.02 


32.25 


83.88 


32.62 1 83.74 


32.99 


1 83.59 


33.35 


90 




84.96 


32.61 


84.81 


32.98 i'l 84.67 


33.35 


84.52 


33.72 


91 




92 


85.89 


32.97 


85.74 


33.34 1 85.60 


33.72 


85.45 


34.09 


92 




93 


86.82 


33.33 


86.68 


33.71 ' 86.. 53 


34.08 


86.38 


34.46 


93 




94 


87.76 


33.69 


87.61 


34.07 87.46 


34.45 


87.31 


34.83 


94 




95 


88.69 


34.04 


88.54 


34.43 88.39 


34.82 


88.24 


35.20 


95 




96 


89.62 


34.40 


89.47 


34.79 89.32 


35.18 


89.17 


35.57 


96 




97 


90.56 


34.76 


90.40 


35.16 90.25 


35.55 


90.09 


35.94 


97 




98 


91.49 


35.12 


91.34 


35.52 91.18 


35.92 


91.02 


36.31 


98 




99 


92.42 


35.48 


92.27 


35.88 92.11 


36.28 


91.95 


36.69 


99 




100 


93.36 


35.84 


93.20 


36.24 93.04 


36.65 


92.88 


37.06 


100 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


B 

" 1 
5 




69 Deg. 


681 Deg. 


68i Deg. 


68i Deg. 



4G 



TBJtVEESZ TABLE. 



?. I 



1 
2 
3 

4 
5 
6 

9! 

10 ; 

11 1 

12 i 

13 I 

14! 
15 I 

}?! 

13 

19! 
20 ! 



22 


D6g. j; 

1; 


Lat. 


Dep. r 


0.93 


0.37 i 


I. So 


0.75 i 


2.78 


1.12 


3.71 


1.50 


4.64 


1.87 


5.56 


2.25 


6.49 


2.62 


7.42 


3.00 1 


8.34 


3.37 1 


9.27 


3.75 i 



22i Des. 



22k Deg. I 2 



Lat. Dep. j Lat. '■ Dep. 



Lat. 



0.93 
1.85 
2.78 
3.70 
4.63 
5.55 
6.48 
7.40 
8.33 
9.26 



10.20 
11.13 
12.05 
12.98 
13.91 
14.83 
15.76 
16.69 
17.62 
18.54 



4.12 
4.50 
4.87 
5.24 
5.62 
5.99 
6.37 
6.74 
7.12 
7.49 



I; 10.18 
11.11 

12.03 
12.96 

13.88 
14.81 
15.73 I 
16.66! 
17.. 59 i 
18.51 i 



0.38 
0.76 
1.14 
1.51 
1.89 
2.27 
2.65 
3.03 
3.41 
3.79 



4.17 
4.54 
4.92 
5.30 
5.68 
6.06 
6.44 
6.82 
7.19 
7.57 



Dep. I 



0.92 1 
1.85 1 
2.77 I 
3.70 1 
4.62 1 
5.541 
6.47! 
7.39 1 
8.31 I 
9.24 



0.38 
0.77 
1.15 
1.53 
1.91 
2.30 
2.68 
3.06 
3.44 
3.83 



4.21 
4.59 
4.97 
5.36 
5.74 
6.12 
6.51 
6.89 
7.27 
7.65 



0.92! 

1.84, 

2.77 

3.69 1 

4.61 I 

5.53 

6.46 

7.38 

8.30 

9.22 



0.39 

0.77 

1.16 

1.55 

1.93 1 

2.32 

2.71 I 

3.09 i 

3.48 

3.87 



1 
» 
3 
4 
5 
6 
7 
8 
9 
10 



14 

07 

99 

91 

83 

76 

68 i 

60 I 

52 I 

44 



4.25 
4.64 
5.03 
5.41 
5.80 
6.19 
6.57 
6.96 
7.35 
7.73 



11 
12 
13 
14 
15 
16 
17 
18 
19 
20 



21 19.47 ! 

22 i 20.40 i 
23! 21.33; 

24 I 22.25 I 

25 I 23.18 

26 i 24.11 I 

27 125.03 1 

28 ■ 25.96 j 
26.89 i 
27.82 ! 



30 



7.87 

8.24 

8.62 11 

8.99 II 

9. .37 

9,74! 

10.11 [! 

10.49 11 

10.86!' 

11.24|i 



19.44 
20.36 
21.29 
22.21 
23. li 
24.06 
24.99 
25.92 
26.84 
27.77 



31 ! 28.74 ; 

32 129.67 ! 

33 130.60; 

34 31.52: 

35 32.45 I 

36 33.38 j 

37 34.31 I 

38 35.23 j 

39 I 36.16 j 

40 87 . 09 I 



11.61 ; 

11.99 li 
12.36 |i 

12.74 I 
13.11 li 

13.49 |i 
13.86 1! 
14.24!; 
14.61 if 
14.98 !i 



28.69 .. 
29.62 . 
30.54, 
31.47 I 
33.39 1 
33.32 
34.24 1 
35.17! 
36.10 
37.02 



7.95 

8.33 

8.71 

9.09 

9.47 

9.84 
10.22 
10.60 
iO.98 
11.36 ! 27, 
11.74 1 28, 
12.12 j 29. 



,40 
,33 
.25 
.17 

,10 

,02! 
,94 ' 
,87 j 
,79 I 
,72 i 



8.04:1 19 
8.42 20 

8.S0 21 

9.1s 22 

9.57 23 

9.951; 23 

10.33; 24 

10.72 1 25 

ll.l0i!26 

11.48 27 



,37] 

,29 i 

.21 i 

,131 

,05 ! 

,98 10.05 1 

90 10.44 

82 j 10.83 

74! 11.21 

67 ! 1 1 . 60 



8.12 

8.51 ; 

8.89 I 
9.28 i 
9.6-' 



21 
22 
23 
24 
25 
26 
27 
28 
29 
30 



4-: 3S,94 
43; 39.87 
44 i 40.80 
45! 41.72 

46 42.65 

47 43.58 

48 44.50 

49 45.43 

50 46.36 



15.36 
15.73 
16.11 
16.48 
16.86 
17.23 
17.61 
17.93 
18.36 
18.73 



37.95 

._38.87 

39.80 

40.72 

41.65 

42.57 

43.50 

44.43 

■' 45.35 

:i 46.28 



12.50': 30 

12.87;! 31 
13.25' .32 
13.63 i 33 
14.01 ! 34 

14.39' 35 
14.77'! 36 
15 1=; I ?K 



64' 

56; 
49! 

41 I 
34 
26 
18 1 
11! 
03 I 



1 f .86 
12.25 ■ 

12.63 ; 

13.01 
13.39 I 
13.78 ii 
14.16 ' 
14. .54! 
14.92 !; 
15.31 I 



59! 11.99! 
51 i 12.37; 
43 i 12.76! 
35! 13.15 
28 I 13.53 
20 I 13.92 
12 1 14.31 
04! 14.70 
97 j 15.08 
89 I 15.47 



39.73 
40.65 
41.57 



15.:, 

15.9: 

16.28 
16.65 
17.04 
17.42 i 42.50 

17.80 ii 43.42 
18.18 ^i 44.35 
18.55 ! 45.27 
18.93 ;| 46.19 



§ ' Dep. Lat. li Dep. | Lat. ! Dep. Lat. ;; Dep. Lat. 



15. b9 ;37 
16.07 1; 38 
16.46; -39 
16.84 1 40 
17.22 i! 41 
17.60 42 
17.99 43 
18.37; 44 
18.75 45 
19.13 i 46 



.81! 

.73 1 

.65 1 

.58 

.50 

.42 

.34 

.27 

.19 

.11 



15.86 
16.24 
16.63 
17.02 
17.40 
17.79 
18.18 
18.56 
13.95 
19.34 



Deg. H 67i De^. 6Ti Def. 1 67i Deg. 



31 
32 
33 

.34 
35 

36 
37 
38 
39 
40 



41 
42 
43 
44 
4.'i 
46 
47 
48 
49 
50 



TRAVERSE TABLE. 



47 



o 
K 

3 
o 

CD 

"51 


22 Deg. 


22i Deg. 


22^ Deg. 


221 Deg. 


w 

p 
? 

51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


47.29 


19.10 


47.20 


19.31 


47.12 


19.52 


47.03 


19.72 


52 


48.21 


19.48 


48.13 


19.69 


48.04 


19.90 


47.95 


20.11 


52 


53 


49.14 


19.85 


49.05 


20.07 


48.97 


20.28 


48.88 


20.50 


53 


54 


50.07 


20.23 


49.98 


20.45 


49.89 


20.66 


49.80 


20.88 


54 


55 


51.00 


20.60 


50.90 


20,83 


50.81 


21.05 


.50.72 


21.27 


55 


56 


51.92 


20.98 


51.83 


21.20 


51.74 


21.43 


51.64 


21.66 


56 


57 


52.85 


21.35 


52.76 


21.58 


.52.66 


21.81 


52.57 


22.04 


57 


58 


53.78 


21.73 


53.68 


21.96 


53.59 


22.20 


53.49 


22.43 


58 


59 


54.70 


22.10 


54.61 


22.34 


54.51 


22.58 


54.41 


22.82 


59 


60 
61 


55.63 


22.48 


55.53 


22.72 


55.43 


22.96 


55.33 


23.20 


60 
61 


56.56 


22.85 


56.47 


23.10 


56.36 


23.34 


56.25 


23.59 


62 


57.49 


23.23 


57.38 


23.48 


57.28 


23.73 


57.18 


23.98 


62 


63 


58.41 


23.60 


58.31 


23.85 


58.20 


24.11 


58.10 


24.36 


63 


64 


59.34 


23.97 


59.23 


24.23 


59.13 


24.49 


59.02 


24.75 


64 


65 


60.27 


24.35 


60.16 


24.61 


60.05 


24.87 


59.94 


25.14 


65 


66 


61.19 


24.72 


61.09 


24.99 


60.98 


25.26 


60.87 


25.52 


66 


67 


62.12 


25.10 


62.01 


25.37 


61.90 


25.64 


61.79 


25.91 


67 


68 


63.05 


25.47 


62.94 


25.75 


62.82 


26.02 


62.71 


26.30 


68 


69 


63.98 


25.85 


63.86 


26.13 


63.75 


26.41 


63.63 


26.68 


69 


70 
71 


64.90 


26.22 


64.79 


26.51 


64.67 


26.79 


64.55 


27.07 


70 
71 


65.83 


26.60 


65.71 


26.88 


65.60 


27.17 


65.48 


27.46 


72 


66.76 


26.97 


66.64 


27.26 


66.52 


27.55 


66.40 


27.84 


72 


73 


67.68 


27.35 


67.56 


27.64 


67.44 


27.94 


67.32 


28.23 


73 


74 


68.61 


27.72 


68.49 


28.02 


68.37 


28.32 


68.24 


28.62 


74 


75 


69.54 


28.10 


69.42 


28.40 


69.29 


28.70 


69.17 


29.00 


75 


76 


70.47 


28.47 


70.34 


28.78 


70.21 


29.08 


70.09 


29.39 


76 


77 


71.39 


28.84 


71.27 


29.16 


71.14 


29.47 


71.01 


29.78 


77 


78 


72.32 


29.22 


72.19 


29.53 


72.06 


29.85 


71.93 


30.16 


78 


79 


73.35 


29.59 


73.12 


29.91 


72.99 


30.23 


72.85 


30.55 


79 


80 
81 


74.17 


29.97 


74.04 


30.29 


73.91 


30.61 


73.78 


30.94 


80 
81 


75.10 


30.34 


74.97 


30.67 


74.83 


31.00 


74.70 


31.32 


82 


76.03 


30.72 


75.89 


31.05 


75.76 


31.38 


75.62 


31.71 


82 


83 


76.96 


31.09 


76.82 


31.43 


76.68 


31.76 


76.54 


32.10 


•83 


84 


77.88 


31.47 


77.75 


31.81 


77.61 


32.15 


77.46 


32.48 


84 


85 


78.81 


31.84 


78.67 


32.19 


78.53 


32.53 


78.39 


32.87 


85 


86 


79.74 


32.22 


79.60 


32.56 


79.45 


32.91 


79.31 


33.26 


86 


87 


80.66 


32.59 


80.52 


32.94 


80.38 


33.29 


80.23 


33.64 


87 


88 


81.59 


32.97 


81.45 


33.32 


81.30 


33.68 


81.15 


34.03 


88 


S9 


82.52 


33.34 


82.37 


33.70 


82.23 


34.06 


82.08 


34.42 


89 


90 
91 


83.45 


33.71 


83.30 


34.08 


83.15 


34.44 


83.00 


34.80 


90 
91 


84.37 


34.09 


84.22 


34.46 


84.07 


34.82 


83.92 


36.19 


92 


85.30 


34.46 


85.15 


34.84 


85.00 


35.21 


84.84 


35.58 


92 


93 


86.23 


34.84 


86.08 


35.21 


85.92 


35.59 


85.76 


35.96 


93 


94 


87.16 


35.21 


87.00 


35.59 


86.84 


35.97 


86.69 


36.35 


94 


95 


88.08 


35.59 


87.93 


35.97 


87.77 


36.35 


87.61 


36.74 


95 


96 


89.01 


35.96 


88.85 


36.35 


88.69 


36.74 


88.53 


37.12 


96 


97 


89.94 


36.34 


89.78 


36.73 


89.62 


37.12 


89.45 


37.51 


97 


98 


90.86 


36.71 


90.70 


37.11 


90.54 


37.50 


90.38 


37.90 


98 


99 


91.79 


37.09 


91.63 


37.49 


91.46 


37.89 


91.30 


38.28 


99 


100 

1 

to 

5 


92.72 


37.46 


92.55 


37.86 


92.39 


38.27 


92.22 


38.67 


100 

6 
o 
a 

Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


68 Deg. 


67| Deg. 


67i Deg. 


67i Deg. 



48 



THAVEESr. TXBLr. 



Cl 23 Deg. ' 23+ 


Deg. 1 


2^ 


Deg. : 231 


Deg. 


c 

1 


1 ; ^-at. 


Dep. : Lat. 


Dep. 


Lat. 


Dep. |; Lat. 


Dep. 


1. 0.92 


0.39, 0,92 


0.39 


0.92 


0.40 0.92 


0.40 


2 1.84 


0.78'; 1.84 


0.79 


1.83 


0.80 1.83 


0.81 


2 


3 1 2.76 


1.17;, 2.76 


1.19 


2.75 


1.30 2.75 


1.21 


3 


4! 3.68 


1.56' 3.68 


1.58 


3.67 


1.59; 3.66 


1.61 


4 


5! 4.60 


1.95 4.59 


1.97 


4.59 


1.99 4.58 


2.01 


5 


6 ' 5.52 


2.34 5.51 


2.37 


5.50 


2.39 5.49 


2.42 


6 


7 i 6.44 


2.74 6.43 


2.76 


6.42 


2.79 6.41 


2.82 


7 


8i 7.36 


3.13 7.35 


3.16 1 


7.34 


3.19 7.32 


3.22 


8 


9: 8.2s 


3.52 8.27 


3.551 


8.25 


3.59 8.24 


3.62 


9 


10 9.20 

11 10.13 


3.91 9.19 
4.30 ; 10.11 


3.95 1 
4.34 ( 


9.17 
10.09 


3.99 9.15 


4.03 


10 
11 


4.39 10.07 


4.43 


12 11.05 


4.69 11.03 


4.74 ! 


11.00 


4.78 10.98 


4.83 


12 


13 i 11.97 


5.08 ; 11.94 


5.13 1 


11.92 


5.18 11.90 


5.24 


13 


14; 12.89 


5.47 1 12.86 


5.53 


12.84 


5.58 12.81 


5.64 


14 


15 13.81 


5.86 ; 13.78 


5.92 


13.76 


5.98 13.73 


6.04 


15 


16 14.73 


6.25 14.70 


6.32 


14.67 


6.38 14.64 


6.44 


16 


17 15.65 


6.64; 15.62 


6.71 


15.59 


6.78 15.56 


6.85 


17 


18 16.57 


7.03 ; 16.54 


7.11 
7.50 


16.51 


7.18 16.48 


7.25 


18 


19 : 17.49 


7.42 L 17.46 
7.81 f 18.38 


17.42 


7.58 17.39 


7.65 


19 


20' 18.41 


7.89 


' 18.34 


7.97 18.31 


8.05 


20 


21 19.33 


I 8.21 1 19.29 


8.29 


19.26 


8.37 19.22 


8.46 


21 


22 20.25 


8.60 20.21 


, 8.68 


20.18 


8.77 1^20.14 


8.86 


22 


23 21.17 


. 8.99 ! 21.13 


1 9.08 


21.09 


9.17 =21.05 


9.26 


23 


24 122.09 


^ 9.38 22.05 


1 9.47 


22.01 


9.57 ; 21.97 


9.67 


24 


25 23.01 


' 9.77 22.97 


, 9.87 


22.93 


9.97 '22.88 


10.07 


25 


26 23.93 


10.16 23.89 


10.26 


23.84 


10.37 23.80 


1 10.47 


26 


27 24.85 


; 10.55 24.81 


; 10.66 24.76 


10.77 24.71 


10.87 


27 


28 25.77 


10.94 25.73 


j 11.05 125.68 


11.16 25.63 


11.28 


28 


29 ,26.69 


11.33 26.64 


' 11.45 26.59 


11.56 26.54 


; 11.68 


29 


30 27.62 


11.72 27.56 


'; 11.84 27.51 


11.96 27.46 
12.36 28.37 


' 12.08 


30 


31 28.. 54 


12.11 28.48 


; 12.24 


28.43 


, 12.49 


31 


32 29.46 


12.50 29.40 


12.63 


29.35 


12.76 29.29 


12.89 


32 


33.30.38 


12.89 30.32 


13.03 


30.26 


13.16 30.21 


■: 13.29 


33 


34 31.30 


13.28 . 31.24 


'■: 13.42 


31.18 


13.56 31.12 


13.69 


34 


35 32.22 


13.68 : 32.16 


13.82 


: 32 . 10 


. 13.96 32.04 


; 14.10 


35 


36 33.14 


14.07 33.08 


14.21 


33.01 


: 14.35 32.95 


14.50 


36 


37 .34.06 


14.46 34.00 


14.61 


33.93 


■ 14.75 33.87 


14.90 


37 


33 ; 34.98 


14.85 34.91 


, 15.00 


; 34.85 


15.15 : 34.78 


15.30 


38 


39 35.90 


15.24 35.83 


15.39 


35.77 


15.55! 35.70 


15.71 


39 


40 36.82 


15.63 36.75 


15.79 


36.68 


15.95 : 36.61 


'■: 16.11 


40 


41 37.74 


16.02 37.67 


16.18 


37.60 


16.35 i 37.. 53 


16.51 


41 


42 38.66 


16.41 38.59 


16. 5S 


38.. 52 


16-75 3S.44 


16.92 


42 


43 39.58 


16.80 39.51 


16.97 


39.43 


17.15 J 39.36 


; 17.32 


43 


44:40.50 


17.19 40.43 


17.37 


40.35 


17.54 40.27 


17.72 


44 


45 '41.42 


17. .58 41.35 


17.70 


41.27 


17.94< 41.19 


18.12 


45 


46 42.34 


17.97 42.26 


18.16 


142.18 


18.34 ; 42.10 


19.53 


46 


47 43.26 


18.36 43.18 


18.55 


43.10 


18.74 43.02 


18.93 


47 


48 44.18 


18.76 44.10 


18.95 


44.02 


19.14 43.93 


19.33 


4H 


49 45.10 


19.15 45.02 


19.34 


44.94 


19.54 44.85 


(19.73 


49 


50 46.03 


19.54 45.94 


19.74 


45.85 


19.94 45.77 


20.14 


1 50 


§ ; Dep. 

1 


; Lat. Dep. 
Deg. ;: 661 


Lat. 


Dep. 


Lat. Dep. 


: Lat. 


1 s 
J 


Deg. 


66^ 


Deg. i, 66i Deg. 



TKA\£RSE TABLE. 



4'd 



p 

3 

51 


23 Deg. 


23i Deg. 


23f Deg. 


231 Deg. 


3 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


46.95 


19.93 


46.86 


20. 13 


46.77 


20.34 


46.68 


20.54 


51 


52 


47.87 


20.33 


47.78 


20 53 


47.69 


20.73 


47.60 


20.94 


52 


53 


48.79 


20.71 


48.70 


20.92 


48.60 


31.13 


48.51 


21.35 


53 


54 


49.71 


21.10 


49.61 


21.32 


49.52 


21.53 


49.43 


21.75 


54 


55 


50.63 


21.49 


50.53 


21.71 


50.44 


21.93 


50.34 


22.15 


55 


56 


51.55 


21.88 


51.45 


22.11 


51.36 


22.33 


51.26 


22.55 


56 


57 


52.47 


22.27 


53.37 


22.50 


52.27 


33.73 


52.17 


22.96 


57 


58 


53.39 


22.66 


53.39 


22.90 


53.19 


33.13 


53.09 


23.36 


58 


59 


54.31 


23.05 


54.31 


23.29 


54.11 


23.53 


54.00 


33.76 


59 


60 
61 


55.23 


23.44 
23.83 


55.13 


23.68 


55.02 


23.92 


54.93 
55.83 


24.16 
24.57 


60 
61 


56.15 


56.05 


24.08 


55.94 


24.33 


62 


57.07 


24.23 


56.97 


24.47 


56.86 


24.72 


56.75 


24.97 


62 


63 


57.99 


24.63 


57.88 


34.87 


57.77 


25.12 


57.66 


25.37 


63 


64 


58.91 


25.01 


.58.80 


25.26 


58.69 


25.52 


58.58 


25.78 


64 


65 159.83 


25.40 


59 . 72 


25.66 


59.61 


25.92 


159.50 


26.18 


65 


66 


60.75 


25.79 


60.64 


26.05 


60.53 


26.32 


1 60.41 


26.. 58 


66 


67 


61.67 


26.18 


61.56 


26.45 


61.44 


26.73 


! 61.33 


28.98 


67 


68 


62.59 


26 . 57 


62.48 


36.84 


62.. 38 
63.2^ 


37.11 


62.24 127.39 


68 


69 


63.51 


26.96 


63.40 


37.24 


37.51 


63.16 


27.79 


69 


70 
71 


64.44 


27.35 


64.32 


27.63 


64.19 


37.91 
28.31 


64.07 
64.99 


28.19 


70 


65.36 


27.74 


65.23 


28.03 


65.11 


28.59 


71 


72 


66.28 


28.13 


66.15 


28.42 


66.03 


28.71 


65.90 


29.00 


73 


73 


67.20 


28.52 


67.07 


28.82 


66.95 


29.11 


66.82 


29.40 


73 


74 ,68.12 


28.91 


67.99 


29.21 


67.86 


39.51 


67.73 


29.80 


74 


75! 69.04 


29.30 


68.91 


29.61 


68.78 


29.91 


68.65 


30.21 


75 


76 


69.96 


29.70 


69.83 


30.00 


69.70 


30.30 


69.56 


30.61 


76 


77 


70.88 


30.09 


70.75 


30.40 


70.61 


30.70 


70.48 


31.01 


77 


78 


71.80 


30.48 


71.67 


30.79 


71.53 


31.10 


71.39 


31.41 


78 


79 


72.72 


30.87 


72.58 


31.18 


72.45 


31.50 


72.31 


31.82 


79 


80 
81 


73.64 


31.26 


73.50 


31.58 


73.36 


31.90 


73.22 


32 . 22 


80 

81 


74.56 


31.65 


74.42 


31.97 


74.28 


32.30 


74.14 


32.63 


82 


75.48 


32.04 


75.34 


32.37 


75.20 


33.70 


75.06 


33.03 


82 


83 


76.40 


32.43 


76.26 


32.76 


76.12 


33.10 


75.97 


33.43 


83 


84 


77.32 


32.82 


77.18 


33.16 


77.03 


33.49 


76.89 


33.83 


84 


85 


78.24 


33.21 


78.10 


33,55 


77.95 


33.89 


77.80 


34.23 


85 


86 79.16 


33.60 


79.02 


33.95 


78.87 


34.29 


78.72 


34.64 


86 


87 


80.08 


33.99 


79.93 


34.34 


79.78 


34.69 


79.63 


35.04 


87 


88 


81.00 


34.38 


80.85 


34.74 


80.70 


.35.09 


80.55 


35.44 


88 


89 


81.92 


34.78 


81.77 


35.13 


81.62 


35.49 


81.46 


35.84 


89 


90 
91 


82.85 


35.17 


82.69 
83.61 


35.53 


82.54 


35. S9 


82.38 


36.25 


90 


83.77 


35.56 


35.92 


83.45 36.29 1 


83.29 


36.65 


91 


92 


84.69 


35.95 


84.. 53 


36.33 


84.37 36.68 


84.21 


37.05 


92 


93 


85.61 


36.34 


85.45 


36.71 


85.29 37.08 1 


85.13 


37.46 


93 


94 


86.53 


36.73 


86.37 


37.11 


80.20 i 37.48 . 


86.04 


.37.86 


94 


95 


87.45 37.12 


87.29 


37.50 1 


87.12 


37.88 


86.95 


38.26 


95 


96 


88.37! 37.51 


88.20 


37.90 


88.04 


38.28 ! 


87.87 


38.66 


96 


97 


89.29 137.90 


89.12 


38.39 


88.95 


38.68 


88.79 


39.07 


97 


98 


90.21 138.29 


90.04 


38.68 1 


89.87 


39.08 


89.70 


39.47 


98 


99 


91. 13 138.68 


90.96 


39.08 


90 . 79 i 


39.48! 


90.62 


39.87 


99 


100 

d 

.2 1 

L 


92.05 i. 39. 07 


91.88 


39.47 


91.71 


39.87 1 


91.53 


40.27 


100 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


o 

a 
a 


67 Deg. 


1 
661 Deg. 


661 Deg. 


664 Deg. 



60 



TRAVEBSE TABLE. 





24] 


Deg. 


m Deg, 


1 24|Deg. 


24J Deg. 


1 

a 
~1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 1 Dep. 


0.91 


0.41 


0.91 


0.41 


i 0.91 


0.41 


0.91 1 0.42 


2 


1.83 


0.81 


1.82 


0.82 11 1.82 


0.83 


1.82 0.84 


2 


3 


2.74 


1.22 


2.74 


1.23 i! 2.73 i 1.24 


2.72 i 1.26 


3 


4 


3.65 


1.63 


3.65 


1.64! 3.64! 1.66 


3.63; 1.67 


4 


5 


4,67 


2.03 


4.56 


2.05 ij 4.55! 2.07 


4.54 1 2.09 


5 


6 


5.-18 


2.44 II 5.47 


2.46 1! 5.46 


2.49 


5.45 j 2.51 


6 


7 6.39 


2.85 


6.38 


2.87 j 6.37 


2.90 


6.36 2.93 


7 


8 7.31 


3.25 


7.29 


3.29 1 7.28 


3.32 


7.27 3.35 


8 


9 8.22 


3.66 


8.21 


3.70! 8.19 


3.73 


8.17 3.77 


9 


10 9.14 

11 1 10.05 


4.07 1 

4.47 1 


9.12 


4.11 


9.10 
10.01 


4.15 


9.08 ' 4.19 


10 
11 


10.03 


4.52 


4.56 


9.99 i 4.61 


12 1 10.96 


4.88 1 


10.94 


4.93 1! 10.92 


4.98! 


10.90 1 5.02 


12 


13 j 11.88 


5.29 !| 11.85 


5.34!! 11.83 


5.39 


11.81 5.44 


13 


14! 12.79 


5.69 1 12.76 
6.10 13.68 
6.51 ij 14.59 


5.75 { 12.74 


5.81 


12.71! 5.86 


14 


15 1 13.70 


6.16 13.65 6.221 


13.62 1 6.28 


15 


16 1 14.62 


6.57 1 14.56 i 6.641 


14.53 6.70 


16 


17 ; 15.53 


6.92 Ij 15.50 


6.98 !l 15.47 i 7.05 


15.44 7.12 


17 


18 16.44 


7.32 16.41 


7.39,116.38 1 7.46 1 
t.SO!! 17.29 1 7.88 1 


16.35 7.54 


18 


19 117.36 


7.73 ii 17.32 


17.25 1 7.95 


19 


20 18.27 

21 1 19.18 


8.131 


18.24 


8.21 I 


18.20 1 8.29 


18.16 1 8.37 


20 
21 


8.54^ 


19.15 


8.63 


19.11 i 8.71 


19.07 


8.79 


22 '20.10 


8.95 


20.06 


9.04 


20.02 i 9.12! 


19.98 


9.21 


22 


23 1 21.01 


9.35, 


20.97 


9.45 


20.93 


9.54 


20.89 


9.63 


23 


24! 21.93 


9.76 


,21.88 


9.86 


21.84 


9.95: 


21.80 10.05 


24 


25 j 22.84 


10.17 


22.79 


10.27 j 


22.75 


10.37 i 


22.70 10.47 


25 


26 


23.75 


10.58 


23.71 


10.68 


23.66 


10.78 1 


23.61 1 10.89 


26 


27 


24.67 


10.98 1 


24.62 


11.09,1 


24.57 


11.20 


24.52 ' 11. .30 


27 


28 


25.. 58 


11.39 1 


25.53 


11. .50 25.48 


11.61 


25.43 1 11.72 


28 


29 j 26.49 


11.80 


26.44 


11.91 (1 26.39 


12.03 


26.34! 12.14 


29 


30 
31 


27.41 


12.20 


27.35 


12.32 Ij 27.30 


12.44 


27.24! 12.56 
28.15 i 12.98 


30 
31 


28.32 


12.61 i 


28.26 


12.73!! 28.21 


12.86 


32 


29.23 


13.02 


29.18 


13.14!j 29.12 


13.27 


29.06 1 13.40 


32 


33 


30.15 


13.42 


30.09 


13.55 11 30.03 


13.68 


29.97 j 13.82 


33 


34 


31.06 


13.83 


31.00 


13.96 1 30.94 


14.10 


30.88 i 14.23 


34 


35 


31.97 


14.24 


31.91 


14.38 jl 31.85 


14.51 


31.78 i 14.65 


35 


36 132.89 


14.84 1 


32.82 


14.79 1132.76 14.93. 


32.69 ; 15.07 


36 


37 133.80 


15.05 1 


33.74 


15.20 1 33.67 15.34! 


33.60 1 15.49 


37 


38 134.71 


15.46 


34.65 


15.61 H 34.58! 15.76 


34.51 i 15.91 


38 


39 i 35.63 


15.86 


35.56 


16.02 '35.49 16.17 


35.42 i 16.33 


39 


40!. 36. 54 
41 i 37.46 


16.27 

16.68 ■ 


36.47 


16.43 36.40 16.59 


36.33 ! 16.75 


40 
41 


37.38 


16.84 ii 37.31 ! 17.00 1 


37.23 ; 17.16 


42 138.37 


17.08 


38.29 


17.25 |! 38.22 i 17.42 


38.14! 17.. 58 


42 


43 139.28 


17.49 


39.21 


17.66 1| 39.13 17.83 


39.05 18.00 


43 


44 


40.20 


17.90 


40.12 


18.07 !l 40.04 18.25 


39.96 i 18.42 


44 


45 


41.11 


18.30 


41.03 


18.48 ;[ 40.95 1 18.66! 


40.87 1 18.84 


45 


46 


42.02 


18.71 


41.94 


18.89: 


41.86 ; 19.08 


41.77; 19.26 


46 


47 


42.94 


19.12 ' 


42.85 


19.30 


42.77 1 19.49 


42.68 i 19.68 


47 


48 


43.85 


19.52 


43.76 


19.71i 


43.68 i 19.91 


43.59 120.10 


48 


49 


44.76 


19.93 


44.68 


20.13! 


44.59 20.32 


44.50 120.51 


49 


JO 


45.68 


20.34 
Lat. I 


45.59 


20.54! 


45.50 


20.73 1 


45.41 ! 20.93 


50 

1 




Dep. 


Dep. 
651 


Lat. 
Deg. 


Dep. 


Lat. 


Dep. 1 Lat. 


1 


66] 


3eg. 


65i Deg. 


65^ Deg. 



TRAVERSE TABLE. 



51 



i 

"51 


24Deg. 


24i Deg. 


24i Deg. 


24| Deg. 


O 
51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


46.59 


20.74 


46.50 


20.95 


46.41 


21.15 


46.32 


21.35 


52 


47.50 


21.15 


47.41 


21.36 


47.32 


21.56 


47.22 


21.77 


52 


53 


48.42 


21.56 


48.32 


21.77 


48.23 


21.98 


48.13 


22.19 


53 


54 


49.33 


21.96 


49.24 


22.18 


49.14 


22.39 


49.04 


22.61 


54 


55 


50.24 


22.37 


50.15 


22.59 


50.05 


22.81 


49.95 


23.03 


55 


56 


51.16 


22.78 


51.06 


23.00 


50.96 


23.22 


50.86 


23.44 


56 


57 


52.07 


23.18 


51.97 


23.41 


51.87 


23.64 


51.76 


23.86 


57 


58 


52.99 


23.59 


52.88 


23.82 


52.78 


24.05 


52.67 


24.28 


58 


59 


53.90 


24.00 


53.79 


24.23 


53.69 


24.47 


53.58 


34.70 


59 


60 
61 


54.81 


24.40 


54.71 


24.64 


54.60 


24.88 


54.49 


25.12 


60 
61 


55.73 


24.81 


55.62 


25.05 


55.51 


25.30 


55.40 


25.54 


62 


56.64 


25.22 


56.53 


25.46 


56.42 


25.71 


56.30 


25.96 


62 


63 


57.55 


25.62 


57.44 


25.88 


57.33 


26.13 


57.21 


26.38 


63 


64 


58.47 


26.03 


58.35 


26.29 


58.24 


26.54 


58.12 


26.79 


64 


65 


59.38 


26.44 


59.26 


86.70 


59.15 


26.96 


59.03 


27.21 


65 


66 


60.29 


26.84 


60.18 


27.11 


60.06 


27.37 


59.94 


27.63 


66 


67 


61.21 


27.25 


61.09 


27.52 


60.97 


27.78 


60.85 


28.05 


67 


68 


62.12 


27.66 


62.00 


27.93 


61.88 


28.20 


61.75 


28.47 


68 


69 


63.03 


28.06 


62.91 


28.34 


62.79 


28.61 


62.66 


28.89 


69 


70 

71 


63.95 


28.47 


63.82 


28.75 


63.70 


29.03 


63.57 


29.31 
29.72 


70 
71 


64.86 


28.88 


64.74 


29.16 


64.61 


29.44 


64.48 


72 


65.78 


29.28 


65.65 


29.57 


65.52 


29.86 


65.39 


30.14 


72 


78 


66.69 


29.69 


66.56 


29.98 


66.43 


30.27 


66.29 


30.. 56 


73 


74 


67.60 


30.10| 


67.47 


30.39 


67.34 


30.69 


67.20 


30.98 


74 


75 


68.62 


30.51 


68.38 


30.80 


68.25 


31.10 


68.11 


31.40 


75 


76 


69.43 


30.91 


69.29 


31.21 


69.16 


31.52 


69.02 


31.82 


76 


77 


70.34 


31.32 


70.21 


31.63 


70.07 


31.93 


69.93 


32.24 


77 


78 


71.26 


31.73 


71.12 


32.04 


70.98 


32.35 


70.84 


32.66 


78 


79 


72.17 


32.13 


72.03 


32.45 


71.89 


32.76 


171.74 


33.07 


79 


80 
81 


73.08 


32.54 


72.94 


32.86 


72.80 


33.18 


72.65 


33.49 


80 
81 


74.00 


32.95 


73.85 


33.27 


73.71 


33.59 


73.56 


33.91 


82 


74.91 


33.35 


74.76 


33.68 


74.62 


34.00 


74,47 


34.33 


82 


83 


75.82 


33.76 


75.68 


34.09 


75.53 


34.42 


75.38 


34.75 


83 


84 


76.74 


34.17 


76.59 


34.50 


76.44 


34.83 


76.28 


35.17 


84 


85 


77.65 


34.57 


77.50 


34.91 


77.35 


35.25 


77.19 


35.59 


85 


86 


78.56 


34.98 


78.41 


35.32 


78.26 


35.66 


178.10 


36.00 


86 


87 


79.48 


35.39 


79.32 


35.73 


79.17 


36.08 


179.01 


36.42 


87 


88 


80.39 


35.79 


80.24 


36.14 


80.08 


36.49 


i 79.92 


36.84 


88 


89 


81.31 


36.20 


81.15 


36.55 


80.99 


36.91 


180.82 


37.26 


89 


90 
91 


82.22 136.61 


82.06 


36.96 


81.90 


37.32 
37.74 


81.73 


37.68 


90 
91 


83.13 37.01 


82.97 


37.38 


82.81 


82.64 


38.10 


92 


84.05 


37.42 


83.88 


37.79 


83.72 


38.15 


83.55 


38.. 52 


92 


93 


84.96 


37.83 


84.79 


38.20 


84.63 


38.57 


84.46 


38.94 


93 


94 


85.87 


38.23 


85.71 


38.61 


85.54 


38.98 


85.37 


39.35 


94 


95 


86.79 


38.64 


86.62 


39.02 


86.45 


39.40 


86.27 


39.77 


95 


96 


87.70 


39.05 1 


87.53 


39.43 


87.36 


39.81 


87.18 


40.19 


96 


97 


88.61 


39.45 1 


88.44 


39.84 


88.27 


40.23 


88.09 


40.61 


97 


98 


89.53 


39.86 1 


89.35 


40.25 


89.18 


40.64 


89.00 


41.03 


98 


99 


90.44 


40.27 


90.26 


40.66 


90.09 


41.05 


89.91 


41.45 


99 


100 

.2 

Q 


91.35 


40.67 


91.18 


41.07 


91.00 


41.47 


90.81 


41.87 


100 

Q 


Dep. 


Lat. 1 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


66 Deg. 


65| Deg. 


65h Deg. 


*65i Deg. 



rSAVER5E T-JlELE. 



E 


1 
25 Deg. 


25i 


Deg. 


25h Deg. ' 261 


i 
Deg. ' 


I 


i 

1 


Lat. j 


Dep. 1 
0.42! 


Lat. 


Dep. 


Lat. i Dep. 
0.90: 0.43 


Lat. 1 


Dep. 1 


2 

i 


0.91 i 


0.90 


0.43 1 


0.90. 


0.431 1 


2 


1.81 


0.85. 1.81 


0.85 i 


1.81 0.86; 


1.80 


0.87! 2 


3 


2.72 : 


1.27 1 2.71 


1.28 '■ 


2.71! 1.29^ 


2.70 


1.30' 3 


4 


3.63 


1.69 > 3.62! 1.7n 


3.61; 1,72; 


3.60; 


1.74: 4 


5 


4.53 


2.11! 4.52 1 2.13 1 


4.51 1 2.15 


4.50: 


2.17 [ 5 


6 


5.44 


2.54 j 5.43 2.56 ; 


5.42! 2.58 i 


5.40 


2.61 6 


7 


6.34 


2.96 


0.33 i 2.99} 
7.24 3.41 


6.32 3.01! 


6.30 


3.04 7 


8 


7.25 


3.-38 


7.22 3.44! 7.21! 


3.48 j 8 


9 


8.16 


3.30' 


8.14 3.84" 


8.12: 3.87;! 8.11' 


3.91 9 


10 


9.06: 


4.23 9.04 


4.27; 


9.03 4.31 '' 9.01 
9.93 4.74 9.91 


4.34 10 


11 


9.97 


4.35 ! 9.95 


4.69 ' 


4.78 


11 


12 llO.SSi 


5.07 : 10.85 


5.12 ! 


10.83 5.17 : 10.81 > 


5.21 


12 


13 i 11.78 1 


5.49 ' 11.76 


5.55; 


11.73: 5.60 111.71; 


5.65 


13 


14 12.69 1 


5.92 : 12.66 


5.97 j 
6.40 1 


12.64' 6.03 i 12.61 ! 


6.08 


14 


15 13.59 


6.34 '■ 13.57 


13.54; 6.46 ! 13.51 ■> 


6.52 


15 


16 14.50: 


6.76 : 14.47 


6.83 ; 


14.44' 6.89 1 14.41 : 


6.95 


16 


17 15.41 ; 


7.1s i 15.38 


7.25 ; 


15.34 1 7.32 1 15.31 


7.39 


17 


18 16.31! 


7.61 i 16.28 


7.68 j 


16.25! 7.75 16.21' 


7.82 


18 


19 17.22 i 


8.03 : 17.18 


8.10 i 


17.151 8.18 17.11 


8.25 


19 


20 1 18.13; 


8.45 '■ 18.09 


8.53 ! 


18.05 1 8.61; 
18.95 i 9.04 


18.01 


8.69 20 


21 ' 19.03! 


8.87 18.99 1 8.96 


18.91 


9.12 21 


22 ,19.94; 


9.30 19.90 9.38! 


19.86: 9.47 119.82 


9.56 22 


23 '20.85 1 


9.72 20.80 9.81 


20.76 i 9.90! 20. 72 


9.99 23 


24 '21.75 1 


10.14(21.71 10.24 


21.66 : 10.33 21.62 


10.43 24 


25 ; 22.66 1 


10.57 22.61 1 10.66 


22.56 1 10.76 22.52 


10.86 


25 


26 1 23.56'; 


10.99 23.52} 11.09 


23.47! 11. 19 ij 23.42 


11.30 


26 


27 ! 24.47 


11.41:1 24.42 1 11.52 


24.37 11.62 S; 24.32 


11.73 


27 


28 25.38 1 11.83!; 25.32 


11.94 


-25.27! 12.05 1^ 25.22 


12.16 


OiJ 


29 26.28 j 


12.26 [i 26.23 


12.37 


26.17' 12.48 126.12 


12.60 


29 


.30 27.19 1 


12.68 i 


27.13 


12.80, 


27.08! 12.92 1127.02 
27.98! 13.35 !' 27.92 


13.03 


30 


31 j 2S.i0 • 


13.10; 


28.04! 13.22 


13.47 31 


32 29.00 ; 


13.52 28.94! 13.65 


28.88! 13.78 " 28.82 


13.90 ' 32 


33 [29.91 ; 


13.95 1' 29.85 • 14.0S 


29.79 14.21 !' 29.72 


14.34 33 


34 30.81! 


14.37 ii 30.75: 14.50. 


30.69 14.64' 30.62 


14.77 a4 


35 ! 31.72; 


14.79/ 31.66 : 14.93 


31.59: 15.07 |31..52 


15.21 35 


36 32.63; 


15.21 ,; 32.56 ' 15.36 


32.49 1 15.50 j 32.43 


15.64 36 


37' 33.53' 


15.64 : 33.46 j 15.78 


33.40, 15.93 33.33 


16.07 : 37 


.38 34.44 1 


16.06 134.37; 16.21 


34.30 16.36' 34.23 


16.51 38 


39 ; 35 . 35 j 


16.48 i 35.27 : 16.64 


35.20; 16.79 '35.13 


16.94 39 


40 i 36.25 1 


16.90 1 36.18 17.06 


36.10 17.22'. 36.03 


17.38, 40 


41 ! 37.16 


17.33 37.08 17.49 


37.01 17.65: 36.93 


17.81 


41 


42 i 3S . 06 


17.75 37.99 17.92 37 .91 ' 18.08 .37 .83 


18.25 


42 


43 i 38.97 


18.17 38.89 18.34; 38.81 | 18.51 ^ 38.73 


18.68 


43 


44- 39. S« 


18.60 39.80 18.77 39.71 1 18.94 ;; 39.63 


19.12 


44 


45 40 . 78 


19.02 1 40.70 ; 19.20 


^40.62 19.37 .40.53 


19.55 


4-5 


46 141.69 


19.44 ' 41.60 19.62 


41.52 19.80 41.43 


19.98 


46 


47! 42.60 


19.86 1 42.51 20.05 


42.42 20.23 42.33 


20.42 47 


48 143.60 


20.29 i 43.41 20.48 


43.32 20.66 43.23 


20.85 48 


49 44.41 


20.71 : 44.32 20.90 


44.23 21.10 44.13 


21.29 49 


50 ; 45.32 


21.13 1 45.22 21.33 


45.13 ; 21.53 ,45.03 


21.72 


; 50 


1 


Dep. 


Lat. 


Dep. Lat, 


Dep. 


Lat. ij Dep. 


|L.. 


i 


X 


65 


Deg. 4 641 Deg. 


64i Deg. 


64i 


Deg. 


i X 



TRAVERSE TABLE. 



5S 



2 

i 

9 
51 


25 Deg. 


25i Deg. 


25i Deg. 


251 Deg. 


to 
1 

51 


Lat. 
46.22 


Dep. 


Lat. 

46.13 


Dep. 


Lat. 
46.03 


Dep. 


Lat. 


Dep. 


21.55 


21.75 


21.96 


45.94 


22.16 


52 


47.13 


21.98 


47.03 


22.18 


46 . 93 


22.39 


46.84 


22.59 


52 


53 


48.03 


22.40 


47.94 


22.61 


47.84 


22.82 


47.74 


23.03 


53 


54 


48.94 


22.82 


48.84 


23.03 


48.74 


23.25 


48.64 


23.46 


54 


55 


49.85 


23.24 


49.74 


23.46 


49.64 


23.68 


49.54 


23.89 


55 


56 


50.75 


23.67 


50.65 


23.89 


50.54 


24.11 


50.44 


24.33 


56 


57 


51.66 


24.09 


51.55 


24.31 


51.45 


24.54 


51.34 


24.76 


57 


58 


52.57 


24.51 


52.46 


24.74 


52.35 


24.97 


52.24 


25.20 


58 


59 


53.47 


24.93! 


53.36 


25.17 


53.25 


25.40 


53.14 


25.63 


59 


60 
61 


54.38 


25.36 j 


54.27 
55.17 


25.59 


54.16 


25.83 


54.04 
54.94 


26.07 
26.50 


60 
61 


55.28 


25.78 


26.02 


55.06 


26.26 


62 


56.19 


26.20 


56.08 


26.45 


55.96 


26.69 


55.84 


26.94 


62 


63 


57.10 


26.62 


.56.98 


26.87 


56.86 


27.12 


56 . 74 


27.37 


63 


64 


58.00 


27.05 


57.89 


27.30 


57.77 


27.55 


57.64 


27.80 


64 


65 


58.91 


27.47 


58.79 


27.73 


58.67 


27.98 


58.55 


28.24 


65 


66 


59.82 


27.89 


59.69 


28.15 


59.57 


28.41 


59.45 


28.67 


66 


67 


60.72 


28.32 1 


60.60 


28.58 


60.47 


28.84 


60.35 


29.11 


67 


68 


61.63 


28.74 


61.50 


29.01 


61.. 38 


29.27 


61.25 


29.54 


68 


69 


62.54 


29.16 1 62.41 
29.58 1 63.31 


29.43 


62.28 


29.71 '62.15 


29.98 


69 


70 
71 


63.44 


29.86 
30.29 


63.18 


30.14! 63.05 


30.41 


70 
71 


64.35 


30.01 ; 


64.22 


64.08 


30.57 j! 63.95 


30.85 


72 


65.25 


30.43 i 


65.12 


30.71 


64.99 


31.00 1; 64.85 


31.28 


72 


73 


66.16 


30.85! 


66.03 


31.14 


65.89 


31.43 ' 65.75 


31.71 


73 


74 


67.07 


31.27 1! 66.93 


31.57 


66.79 


31.86, 


66.65 


32.15 


74 


75 


67.97 


31.70 li 67.83 


31.99 


67.69 


32.29 


67.55 


32.58 


75 


76 


68.88 


32.12!l 68.74 


33.42 


68.60 


32.72 


68.45 


33.02 


76 


77 


69.79 


32.. 54 


69.64 


32.85 


69.50 


33.15 


69.35 


33.45 


77 


78 


70.69 


32.96 


70.55 


33.27 i 70.40 


33.58 


70.25 


33.89 


78 


79 


71.60 


33.39 


71.45 


33.70 171.30 


34.01 


71.16 


34.32 


79 


80 

91 


72.. 50 


33.81 


72.36 
73.26 


34.13 


72.21 


34.44 
34.87 


72 06 


34.76 
35.19 


80 
81 


73.41 


34.23 


34.55 


73.11 


72.96 


82 


74.32 


34.65 


74.17 


34.98 


74.01 


35.30 


73.86 


35.62 


82 


83 


75.22 


35.08 


75.07 


35.41 


74.91 


.35.73 


74.76 


36.06 


83 


84 


76.13 


35.. 50 


75.97 


35.83 ; 


75.82 


36.16 


75.66 


36.49 


84 


85 


77.04 


35.92 


76.88 


36.26 ' 


76.72 


.36.59 


76.56 


36.93 


85 


86 


77.94 


36.35 


77.78 


36.68 


77.62 


37.02 


77.46 


37.36 


86 


87 


78.85 


36.77 


78.69 


37.11 


78.52 


37.45 


78.36 


37.80 


87 


88 


79.76 


37.19 


79.59 


37.54 


79.43 


37.88 


79.26 


38.23 


88 


89 


80.66 


37.61 


80.50 


37.96 ; 


80.33 


38.32 


80.16 


38.67 


89 


90 
91 


81.57 


38.04 


81.40 


38.39 1 


81.23 


38.75 


81.06 


39.10 
39.53 


90 
91 


82.47 


38.46 


82.31 


38.82 


82.14 


39.18 


81.96 


92 


83.38 


38.88 


83.21 


39.24 : 


83.04 


39.61 


82.86 


39.97 


92 


93 


84.29 


39.30 


84.11 


39.67; 


83.94 


40.04 


83.76 


40.40 


93 


94 


85.19 


39.73 


85.02 


40.10 : 


84.84 


40.47 


84.67 


40.84 


94, 


95 


86.10 


40.15 


85.92 


40.52 


85.75 


40.90 


85.57 


41.27 


93' 


96 


87.01 


40.. 57 


86.83 


40.95 86.65 


41.33 


86.47 


41.71 


96 


97 


87.91 140.99 


87.73 


41.38 87.55 


41.76 


87.37 


42.14 


97 


98 


88.82 141.42 


88.64 


41.80 88.45 


42.19 


88.27 


42.58 


98 


99 


89.72 


41.84 


89.. 54 


42.23 89.36 


42.62 


89.17 


43.01 


99 


100 

V 

1 

.2 


90.63 


42.26 


90.45 


42.66: 


90.26 


43.05 


90.07 


43,44 


100 

i 
1 

s 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


63 Deg. 


641 Deg. 


64i Deg. 


64^ Der 



34 



TRAVERSE TABLE. 



1 


.Oe. 


26i Deg. 


26^ Deg. 


261 Deg. 


s 
o 
c 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. I 


Dep. 


Lat. 


Dep. 1 


1 


0.90 


0.44 


0.90 


0.44 


0.89 1 


0.45 


0.89 


0.45 1 1 


2 


1.80 


0.88 


1.79 


0.88 


1.79; 


0.89 


1.79 


0.90 2 1 


3 


2.70 


1.32 


2.69 


1.33 


2.68 1 


1.34 


2.68 


1.35 3 1 


4 


3.60 


1.75 


3.59 


1.77 


3.58! 


1.78 


3.57 


1.80 


4 


5 


4.49 


2.19 


4.48 


2.21 


4.47 1 


2.23 


4.46 


2.25 


5 


6 


5.39 


2.63 


5.38 


2.65 


5.37 


3.88 


5.-36 


2.70 


6 


7 1 6.29 


3.07 


6.28 


3.10 


6.26 


3.12 


6.25 


3.15 


7 


8 7.19 


3.51 


7.17 


3.54 


7.16 


3.57 


7.14 


3.60 


8 


9 8,09 


3.95 


8.07 


3.98 


8.05! 


4.02 


8.04 


4.05 


9 


10 


8.99 


4,38 


8.97 


4.42 


8.95! 


4.46 


8.93 


4.50 


10 


11 


9,89 


4.82 


9.37 


4.87 


9.84 


4.91 


9.82 


4.95 1 


11 


12 


10.79 


5,26 


10.76 


5.31 ! 


10.74 


5.35 


10.72 


5.40 


12 


13 


11.68 


5.70 


11.66 


5.75 i 


11.63 


5.80 


11.61 


5.85 


13 


14 


12.58 


6.14 


12.. 56 


6.19 


12.53 


6.25, 


12.50 


6.30 


14 


15 1 13.48 


6. .58 1 


13.45 


6,63 


13.43 


6.69 ! 13.39 


6.75 


15 


16 , 14.38 


7.01 ! 


14.35 


7.08 


14.32 


7.l4ii 14.29 


7.20 16 1 


17 15.28 


7.45! 


15.25 


7.52' 


15.21 


7.59 1 15.18 


7.65 i 17 1 


18 


16.18 


7.89 1 


16.14 


7.96 


16.11 


8.03 j! 16.07 


8.10 


18 


19 


17.08 


8.331 


17.04 


8.40 


17.00 


8.48;! 16.97 


8.55 


19 


20 


17.98 


8.77: 

9,21] 


17.94 


8.85 


17.90 


8.92 Ij 17.86 


9. CO 


20 


21 ; 18.87 


18.83 
19.73 


9.29 


i 18.79 


9.37! 18.75 i 9.45 


21 


22 1 19,77 


9.64 


9.73 


1 19.69 
i 20,58 


9.82 ! 19.65 


9.90 


22 


23 20.67 


10.08 


'20.63 


10.17 


10.26 '20.54 


10.35 


23 


24 121.57 


10.52 


121.52 


10.61 


21.48 


10.71 1,21.43 


10.80 


24 


25 i 22.47 


10,98 122.42 


11.06 


22.37 


11.15 1,22.32 


11.25 


25 


26 j 23.37 


11.40 1! 23.32 


11.50 


23.27 


11.60 1^23.22 


11.70 


26 


27 124.27 


11.84 124.22 


11.94 


24.16 


12.05 !i 24.11 


12.15 


27 


28 i 25.17 


12.27 : 25.11 


12.38 


25.06 


12.49 1:25.00 


12.60 


28 


29 126.06 


: 12.71 26.01 


12.83 


25.95 


12.94 i 25.90 


13.05 


29 


30 126.96 


' 13.15 


26.91 
27.80 


13.27 
13.71 


26.85 


13.39 26.79 


13.50 


30 


31 '27.S6 


13. 5 J 


27.74 


13.83 ji 27.68 


13.95 


31 


32 


28.76 


14,03 28.70 


14.15 


28.64 


14.28 


;28..58 


14.40 


32 


33 


29.66 


14.47 


129.60 


14.60 


29.53 


14.72 


129.47 


14.85 


33 


34 


30.56 


14.90 


30.49 


15.04 


30.43 


15.17 


30.36 


15.30 


34 


35 


31.46 


15.34 


31.39 


15.48 


31.32 


15.62 


131.25 i 15.75 


35 


36 


32.36 


15.78 


1 32.29 


15.92 


32.22 


16.06 


132.15! 16.20 1 36 | 


37 133.26 


16.22 


33,18 


i 16.36 


33.11 


16.51 


133.04; 16.65 


1 37 


38 134.15 


16,66 


134.08 


16.81 


34,01 


16.96 


33.93 i 17.10 


38 


39 35.05 


17.10 


134.93 


1 17.25 


1 34,90 


17.40 


1 34.83! 17.55 


39 


40 135.95 

41 ' 36,85 


17.53 
17.97 


; 35,87 


i 17.69 


j 35.80 


17.85 


[35.72: 18.00 

': 36.61 1 18,45 


40 

41 


I 36 , 77 


1 18.- 13 


1 36.69 


18.29 


42 1 37.75 


18 41 


'■ 37.67 


! 18.58 


37.. 59 


18.74 


[I 37.51 i 18.90 


42 


43 I 38,65 


18.85 


1 38,57 


; 19.02 


38.48 


19.19 


1,38.40 1 19.35 


43 


44 39.55 


19.29 


! 39.46 


19.46 


39.38 


19.63 


39.29 , 19.80 


44 


^5 40.45 


19,73 


40.36 


19.90 


40.27 


20.08 


j 40.18 20.25 


45 


46 t 41 , 34 


20.17 


41.26 


20.35 


41.17 


20.53 


:41.08 20.70 


46 


47 142,24 


20.60 


42.15 


20.79 


42.06 


20.97 


41.97 ; 21.15 


47 


48 143.14 


21.04 


43.05 


21.23 


42.96 


21.42 


42.86 21.60 


48 


49 ' 44.04 


21.48 


143.95 


1 21.67 


43.85 


21.86 


43.76 22.05 


49 


50 144.94 


21.92 


, 44.84 


22.11 


44.75 


22.31 


J44.65 1 22.50 


50 


i 


1 Dep. 


Lat. 


j Dep. 


Lat. 


Dep 


Lat. 


Dep. ! Lat. 


.2 


.2 


64 


Deg 


631 


De^. 


63^ Deg. 


63i Deg. 



TRAVERSE TABLE. 



bb 



9. 

P 

51 


26 Deg. 


26k Deg. 


26i Deg. 


26| Deg. 


5 

1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 
45.64 


Dep. 

22.76 


Lat. 
45.54 


Dep. 


45.84 


22.36 


45.74 


22.56 


22.96 


^• 


52 


46.74 


22.80 


46.64 


23.00 


46.54 


23.20 


46.43 


23.41 


52 


53 


47.64 


23.23 


47.53 


23.44 


47.43 


23.65 


47.33 


23.86 


53 


54 


48.53 


23.67 


48.43 


23.88 


48.33 


24.09 


48.22 


24.31 


54 


55 


49.43 


24.11 


49.33 


24.33 


49.22 


24.54 


49.11 


24.76 


55 


56 


50.33 


24.55 


50.22 


24.77 


50.12 


24.99 


50.01 


25.21 


56 


57 


51.23 


24.99 


51.12 


25.21 


51.01 


25.43 


50.90 


25.66 


57 


58 


52.13 


25.43 


52.02 


25.65 


51.91 


25.88 


51.79 


26.11 


58 


59 


53.03 


25.86 


52.92 


26.09 


52.80 


26.33 


52.69 


26.56 


59 


60 
61 


53.93 


26.30 


53.81 


26.54 


53.70 


26.77 


53.58 


27.01 


60 
61 


54.83 


26.74 


54.71 


26.98 


54.59 


27.22 


54.47 


27.46 


62 


55.73 


27.18 


55.61 


27.42 


55.49 


27.66 


55.36 


27.91 


62 


63 


56.62 


27.62 


56.50 


27.86 


56.38 


28.11 


56.26 


28.. 36 


63 


64 


57.52 


28.06 


57.40 


28.31 


57.28 


28.56 


57.15 


28.81 


64 


65 


58.42 


28.49 


58.30 


28.75 


58.17 


29.00 


58.04 


29.26 


65 


66 


59.32 


28.93 


59.19 


29.19 


59.07 


29.45 


58.94 


29.71 


66 


67 


60.22 


29.37 


60.09 


29.63 


59.96 


29.90 


59.83 


30.16 


67 


68 


61.12 


29.81 


60.99 


30.08 


60.86 


30.34 


60.72 


30.61 


68 


69 


62.02 


30.25 


61.88 


30.52 


61.75 


30.79 


61.62 


31.06 


69 


70 

71 


62.92 


30.69 


62.78 


30.96 


62.65 


31.23 


62.51 


31.51 


70 


63.81 


31.12 


63.68 


31.40 


63.54 


31.68 


63.40 


31.96 


71 


72 


64.71 


31.56 


64.57 


31.84 


64.44 


32.13 


64.29 


32.41 


72 


73 


65.61 


32.00 


65.47 


32.29 


65.33 


32.57 


65.19 


32.86 


73 


74 


66.51 


32.44 


66.37 


32.73 


66.23 


33.02 


66.08 


33.31 


74 


75 


67.41 


32.88 


67.27 


33.17 


67.12 


33.46 


66.97 


33.76 


75 


76 


68.31 


33.32 


68.16 


33.61 


68.01 


33.91 


67.87 


34.21 


76 


77 


69.21 


33.75 


69.06 


34.06 


68.91 


34.36 


68.76 


34.66 


77 


78 


70.11 


34.19 


69.96 


34.50 


69.80 


34.80 


69.65 


35.11 


78 


79 


71.00 


34.63 


70.85 


34.94 


70.70 


35.25 


70.55 


35.56 


79 


80 
81 


71.90 


35.07 


71.75 


35.38 


71.59 


35.70 


71.44 


36.01 


80 


72,80 


35.51 


72.65 


35.83 


72.49 


36.14 


72.33 


36.46 


81 


82 


73.70 


35.95 


73.54 


36.27 


73.38 


36.59 


73.22 


36.91 


82 


83 


74.60 


36.38 


74.44 


36.71 


74.28 


37.03 


74.12 


37.36 


83 


84 


75.50 


36.82 


75.34 


37.15 


75.17 


37.48 


75.01 


37.81 


84 


85 


76.40 


37.26 


76.23 


37.59 


76.07 


37.93 


75.90 


38.26 


85 


86 


77.30 


37.70 


77.13 


38.04 


76.96 


38.37 


76.80 


38.71 


86 


87 


78.20 


38.14 


78.03 


38.48 


77.86 


38.82 


77.69 


39.16 


87 


88 


79.09 


38.58 


78.92 


38.92 


78.75 


39.27 


78.58 


39.61 


88 


89 


79.99 


39.01 


79.82 


39.36 


79.65 


39.71 


79.48 


40.06 


89 


90 
91 


80.89 


39.45 


80.72 


39.81 


80.54 


40.16 


80.37 


40.51 


90 


81.79 


39.89 


81.62 


40.25 


81.44 


40.60 


81.26:40.96 


91 


92 


82.69 140.33 


82.51 


40.69 


82.33 


41.05 


82.15 


41.41 


92 


93 


83.59 140.77 


83.41 


41.13 


83.23 


41.50 


83.05 


41.86 


93 


94 


84.49 1 41.21 


84.31 


41.58 


84.12 


41.94 


83.94 


42.31 


94 


95 


85.39 41.65 


85.20 


42.02 


85.02 


42.39 


84.83 


42.76 


95 


96 


86.28 42.08 


86.10 


42.46 


85.91 


42.83 


85.73 


43.21 


96 


97 


87.18 1 42.52 


87.00 


42.90 


86.81 


43.28 


86.62 


43.66 


97 


98 


88.08 


42.96 


87.89 


43.34 


87.70 


43.73 


87.51 i 44.11 


98 


99 


88.98 


43.40 


88.79 


43.79 


88.60 


44.17 


88.40 144.56 


99 


100 

i 


S9.88 


43.84 


89.69 


44.23 


89.49 


44.62 


89.30 45.01 


100 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. Lat. 


Q 


64Deg. 


631 Deg. 


63| Deg. 


63i Deg. 



56 



TRAVERSE TABLE. 



c 

p 


27 Deg. 


m Deg. 


1 

27^ Deg. 


27| Deg. 


1 




Lat. 


Dep. 

0.45 


Lat. 


Dep. 


, Lat. 


Dep. 


Lat. 


Dep. 


1 0.89 


0,89 


0.46 


0.89 


0.46 


! 0.88 


0.47 


2 1.78 


0.91 


1.78 


0.92 


1.77 


0.92 


1.77 


0.93 


2 


3 2.67 


1.36 


2.67 


1.37 


2.66 


1.39 


2.65 


1.40 


3 


4 1 3.56 


1.82 


3.56 


1.83 


3.55 


1.85 


3.54 


1.86 


4 


5 4.45 


2.27 


4.45 


2.29 


4.44 


2.31 


4.42 


2.33 


5 


6 1 5.35 


2.72 


5.33 


2.75 


5.32 


2.77 


5.31 


2.79 


6 


7 1 6.24 


3.18 


6.22 


3.21 


6.21 


3.23 


6.19 


3.26 


7 


8' 7.13 


3.63 


7.11 


3.66 


7.10 


3.69 


7.08 


3.72 


8 


9 


8.02 


4.09 


8.00 


4.12 


7.98 


4.16 


7.96 


4.19 


9 


10 
11 


8.91 


4.54 


8.89 
9.78 


4.58 


8.87 


4.62 


8.85 


4.66 


10 
11 


9.80 


4.99 


5.04 


9.76 


5.08 


9.73 


5.12 


12 


10.69 


5.45 


10.67 


5.49 


10.64 


5.54 


10.62 


5.59 


12 


13 


11.58 


5.90 


11.56 


5.95 


11.53 


6.00 


11.50 


6.05 


13 


14 


12.47 


6.36 


12.45 


6.41 


12.42 


6.46 


12.39 


6.52 


14 


15 


13.37 


6.81 


13.34 


6.87 
7.33 


13.31 


6.93 1 


13.27 


6.98 


15 


16 


14,26 


7.26 


14.22 


14.19 


7.39 i 


14.16 


7.45 


16 


17 


15.15 


7.72 


15.11 


7.78 


15.08 


■ 7.85! 


15.04 


7.92 


17 


18 


16.04 


8.17 


16.00 


8.24 


15.97 


8.31 1 


15.93 


8.38 


18 


19 


16.93 


8.63 


16.89 


8.70 


16.85 


8.77 


16.81 


8.85 


19 


20 

21 


17.82 
IS. 71 


9.08 


17.78 


9.16 


17.74 


9.23 1 


17.70 


9.31 


20 

21 


9.53, 


18.67 


9.62 


18.63 


9.70 i 


18.58 


9.78 


23 


19.60 


9.99 


19.56 


10.07 


19.51 


10.16' 


19.47 


10.24 


22 


23 


20,49 


10.44 11 20.45 


10.53 


20.40 


10.62! 


20.. 35 


10.71 


23 


24 


21.38 


10.90 'j 21.34 


10.99 


21,29 


11.08 


21.24 


11.17 


24 


25 


22.28 


11.35 !' 22.23 


11.45 


22.18; 11.54 


22.12 


11.64 


25 


26 


23.17 


11.80 i; 23.11 


11.90 


23.06 12,01 


23.01 


12.11 


26 


27 


24.06 


12.26 ji 24.00 


12.36 ^ 


23.95 1 12.47, 


23.89 


12.-57 


27 


28 


24.95 


12.71 1:24.89 


12.82 


24.84] 12.93 


24.78 


13.04 


28 


29 


35.84 


13.17 '25.78 


13.28 


25.72! 13.39 


25.66 


13,50 


29 


30 
31 


26 . 73 


13.62 ii 26.67 


13.74 


26.61 1 13.85 
27.50 1 14.31 


26.55 
27.43 


13.97 


30 
31 


27.62 


14.07 i; 27.56 


14.19 


14.43 


32 


28.51 


14.53 ii 28.45 


14.65' 


28.38 14.78 


,28.32 


14.00 


32 


33 


29 . 40 


14,98 1129.34 


15.11 


29.27 15.24 


i 29.20 


15.37 


33 


34 


30.29 


15.44 1: 30.23 


15.57 


30.16 15.70 


'30.09 


15.83 


34 


35 


31.19 


15.89 1 31.12 


16.03 


31.05 16.16 


; 30.97 


16.30 


35 


36 


32.08 


16.34 |i 32.00 


16.48 


31.93 1 16.62 


;31.86 


16.76 


36 


37 


.32.97 


16.80 i 32.89 


16.94 


32.82 1 17.08 


32.74 


17,23 


37 


38 


33.86 


17.25 |i 33.78 


17.40 


33.71 i 17.55 


33.63 


17,69 


38 


39 


34.75 


17.71 1 34.67 


17.86 


34.59 1 18.01 


34.51 


18,16 


39 


40 
41 


35.64 


18.10 ; 35.56 


18.31 


35.48! 18.47 


; 35.40 


18.62 


40 
41 


36.53 


18.6] ! 36.45 


18.77 


36.37 18.93 


136.28 


19.09 


42 


37.42 


19.07 37.34 


19.23 


37.25 j 19.39 


■37.17 


19.56 


42 


43 


38.31 


19.52 38.23 


19.69 


38.14; 19.86 


! 38.05 


20.02 


43 


44 


39.20 


19.98 1 39.12 


20.15 


39.03' 20.32 


■ 38 . 94 


20.49 


44 


45 


40.10 


20.43 '40.01 


20.60 


39.92 i 20.78 


,39.82 


20.95 


45 


46 


40.99 


20.88 '40.89 


21.06 


40.80 ! 21.24 


; 40.71 


21,42 


46 


47 


41.88 


21.34 Ii 41.78 


21.52 


41.69 i 21.70 


41.59 


21,88 


47 


48 


42 . 77 


21.79 ;; 42.67 


21.98 


142.58 122.16 


42.48 


22.35 


48 


49 


43.66 


22.25 |: 43.56 


! 32.44 


43.46 122.63 
'44.35 1 23.09 


43.36 


22.82 


49 


_50 

1 

.2 


44.55 


22.70 ,: 44.45 


; 22.89 


: 44.25 


23.28 


_50 

5 


Dep. 


Lat. 


1 Dep. 


j Lat. 
De^. 


j Dep. 1 Lat. 


Dep. 


1 Lat. 


63 Deg. 


! 

I 621 


, 62i Deg. 


62i 

! 


Deg. 



TRAVERSE TABLE. 



57 



o 
? 

"51 


27 Deg. 


2U Deg. 


27i Deg. 


27| Deg. 


1 

« 
51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. Dep. 


Lat. 


Dep. 


45.44 


23.15 


45.34 


23.35 


45.24 23.55 


45.13 


23.75 


52 


46.33 


23.61 


46.23 


23.81 


46.12 


24.01 


46.02 


24.21 


52 


53 


47.22 


24.06 


47.12 


24.27 


47.01 


24.47 


46.90 


24.68 


53 


54 


48.11 


24.52 


48.01 


24,73 


47.90 


24.93 


47.79 


25.14 


54 


55 


49.01 


24.97 


48.90 


25.18 


48.79 


25.40 


48.67 


25.61 


55 


56 


49.90 


25.42 


49.78 


25.64 


49.67 


25.86 


49.56 


26.07 


56 


57 


50.79 


25.88 


50.67 


26.10 


50.56 


26.32 


,50.44 


26. 5U 


57 


58 


51.68 


26.33 


51.56 


26.56 


51.45 


26.78 


51.33 


27.01 


58 


59 


52.57 


26.79 


52.45 


27.01 


.52.33 


27.24 


52.21 


27.47 


59 


60 
61 


53.46 


27.24 


53.34 


27.47 


53.22 


27.70 


53.10 


27.94 


60 
61 


54.35 


27.69 


54.23 


27.93 


54.11 


28.17 


53.98 


28.40 


62 


55.24 


28.15 


55.12 


28.39 


54.99 


28.63 


54.87 


28.87 


62 


63 


56.13 


28.60 


56.01 


28.85 


55.88 


29.09 


55.75 


29.33 


63 


64 


57.02 


29.06 


56.90 


29.30 


56.77 


29.55 


56.64 


29.80 


64 


65 


57.92 


29.51 


57.79 


29.76 


57.66 


30.01 


57.52 


30.26 


65 


66 


58.81 


29.96 


58.68 


30.22 


58.54 


30.48 


58.41 


30.73 


66 


67 


59.70 


30.42 


59.56 


30.68 


59.43 


30.94 


59.29 


31.20 


67 


68 


60.59 


30.87 


60.45 


31.14 


60.32 


31.40 


60.18 


31.66 


68 


69 


61.48 


31.33 


61.34 


31.59 


61.20 


31.86 


61.06 


32.13 


69 


70 
71 


62.37 


31.78 


62.23 


32.05 


62.09 


32.32 


61.95 


32.59 


70 

71 


63.26 


32.23 


63.12 


32.51 


62.98 


32.78 


62 .'83 


33.06 


72 


64.15 


32.69 


64.01 


32.97 


63.86 


33.25 


63.72 


33.52 


72 


73 


65.04 


33.14 


64.90 


33.42 


64.75 


33.71 


64.60 


33.99 


73 


74 


65.93 


33.60 


65.79 


33.88 


65.64 


34.17 


65.49 


34.46 


74 


75 


66.83 


34.05 


66.68 


34.34 


66.53 


34.63 


66.37 


34.92 


75 


76 


67.72 


34.50 


67.57 


34.80 


67.41 


35.09 


67.26 


35.39 


76 


77 


68.61 


34.96 


68.45 


35.26 


68.30 


35.55 


68.14 


35.85 


77 


78 


69.50 


35.41 


69.34 


35.71 


69.19 


36.02 


69.03 


36.32 


78 


79 


70.39 


35.87 


70.23 


36.17 


70.07 


36.48 


69.91 


36.78 


79 


80 
81 


71.28 


36.32 


71.12 


36.63 


70.96 


36.94 


70.80 


37.25 


80 
81 


72.17 


36.77 


72.01 


37.09 


71.85 


37.40 


71.68 


37.71 


82 


73.06 


37.23 


72.90 


37.55 


72.73 


37.86 


72.57 


38.18 


82 


83 


73.95 


37.68 


73.79 


38.00 


73.62 


38.33 


73.45 


38.65 


83 


84 


74.84 


38.14 


74.68 


38.46 


74.51 


38.79 


74.34 


39.11 


84 


85 


75.74 


38.59 


75.57 


38.92 


75.40 


39.25 


75.22 


39.58 


85 


86 


76.63 


39.04 


76.46 


39.38 


76.28 


39.71 


76.11 


40.04 


86 


87 


77.. 52 


39.50 


77.34 


39.83 


77.17 


40.17 


76.99 


40.51 


87 


88 


78.41 


39.95 


78.23 


40.29 


78.06 


40.63 


77.88 


40.97 


88 


89 


79.30 


40.41 


79.12 


40.76 


78.94 


41.10 


78.76 


41.44 


89 


90 
91 


80.19 


40.86 


80.01 


41.21 


79.83 


41.56 


79.65 


41.91 


90 
91 


81.08 


41.31 


80.90 


41.67 


80.72 


42.02 


80.53 


42.37 


92 


81.97 


41.77 


81.79 


42.12 


81.60 


42.48 


81.42 


42.84 


92 


93 


82.86 


42.22 


82.68 


42.58 


82.49 


42.94 


82.30 


43.30 


93 


94 


83.75 


42.68 


83.57 


43.04 


83.38 


43.40 


83.19 


43.77 


94 


95 


84.65 


43.13 


84.46 


43.50 


84.27 


43.87 


84.07 


44.23 


95 


96 


85.54 


43.58 


85.35 


43.96 


85.15 


44.33 


84.96 


44.70 


96 


97 


86.43 


44.04 


86.23 


44.41 


86.04 


44.79 


85.84 


45.16 


9T 


98 


87.32 


44.49 


87.12 


44.87 


86.93 


45.25 


86.73 


45.63 


98 


99 


88.21 


44.95 


88.01 


45.33 


87.81 


45.71 


87.61 


46.10 


99 


100 

c 

5 


89.10 


45.40 


88.90 


45.79 


88.70 


46.17 


88.50 


46.56 


100 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


63 Deg. 


621 Deg. 


62i Deg. 


624 Deg. 



58 



TRAVERSE TABLE. 



p 


28 Deg. 


284 Deg. 


il 

28^ Deg. 


281 Deg. 


1 

1 


Lat. 


Dep. 


Lat. Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.88 


0.47 


0.88 


0.47 


0.88 


0.48 


0.88 


0.48 


2 


1.77 


0.94 


1.76 


0.95 


1.76 


0.95 


1.75 


0.96 


2 


3 


2.65 


1.41 


2.64 


1.42 


2.64 


1.43 


2.63 


1.44 


3 


4 


3.53 


1.88 


3.52 


1.89 


3.52 


1.91 


3.51 


1.92 


4 


6 


4.41 


2.35 


4.40 


2.37 


4.39 


2.39 


4.38 


2.40 


5 


6 


5.30 


2.82 


5.29 


2.84 


5.27 


2.86 


5.26 


2.89 


6 


7 


6.18 


3.29 


6.17 


3.31 


6.15 


3.34 


6.14 


3.37 


7 


8 


7.06 


3.76 


7.05 


3.79 


1 7.03 


3.82 


7.01 


3.85 


8 


9 


7.95 


4.23 


7.93 


4.26 


, 7.91 


4.29 


7.89 


4.33 


9 


iO 
11 


8.83 


4.69 


8.81 


4.73 


8.79 


4.77 


8.77 


4.81 


10 


9.71 


5.16 


9.69 


5.21 


9.67 


5.25 


9.64 


5.29 


11 


12 


10.60 


5.63 


10.57 


5.68 


10.55 


5.73 


10.52 


5.77 


12 


IB 


11.48 


6.10 


11.45 


6.15 


11.42 


6.20 


11.40 


6.25 


13 


14 


12.36 


6.57 


12.33 


6.63 


12.30 


6.68 


12.27 


6.73 


14 


15 


13.24 


7.04 


13.21 


7.10 


13.18 


7.16 


13.15 


7.21 


15 


16 


14.13 


7.51 


14.09 


7.57 


14.06 


7.63 


14.03 


7.70 


16 


17 


15.01 


7.98 


14.98 


8.05 


14.94 


8.11 


14.90 


8.18 


17 


18 


15.89 


8.45 


15.86 


8.52 


15.82 


8.59 


15.78 


8.66 


18 


19 


16.78 


8.92 


16.74 


8.99 


16.70 


9.07 


116.66 


9.14 


19 


20 


17.66 


9.39 


17.62 


9.47 


17.58 


9.54 


1 17.53 


9.62 


20 


21 


18.54 


* 9.86 


18.50 


9.9'4 


18.46 


10.02 


■18.41 


10.10 


21 


22 


19.42 


10.33 
10.80 


19.38 


10.41 


19.33 


10..50 • 19.29 


10.58 


22 


23 


20.31 


20.26 


10.89 


20.21 


10.97 20.16 


11.06 


23 


24 


21.19 


11.27 


21.14 


11.36 


21.09 


11.45 ,21.04 


11.54 


24 


25 


22.07 


11.74 


22.02 


11.83 


21.97 


11.93 


21.92 


12.02 


25 


26 


22.96 


12.21 


22.90 


12.31 


22.85 


12.41 


22.79 


12.51 


26 


27 


23.84 


12.68 


23.78 


12.78 


23.73 


12.88 


23.67 


12.99 


27 


28 


24.72 


13.15 


24.66 


13.25 


24.61 


13.36 


24.55 


13.47 


28 


29 


25.61 


13.61 


25.55 


13.73 


25.49 


13.84 


25.43 


13.95 


29 


30 


26.49 


14.08 


26.43 


14.20 


26.36 


14.31 


26.30 


14.43 


30 
31 


31 


27.37 


14.55 


27.31 


14.67 


27.24 


14.79 


27.18 


14.91 


32 


28.25 


15.02 


28.19 


15.15 


28.12 


15.27 


28.06 


15.39 


32 


33 


29.14 


15.49 


29.07 


15.62 


29.00 


15.75 


28.93 


15.87 


33 


34 


30.02 


15.96 


29.95 


16.09 


29.88 


16.22 


29.81 


16.35 


34 


35 


30.90 


16.43 


30.83 


16.57 


30.76 


16.70 


30.69 


16.83 


35 


36 


31.79 


16.90 


31.71 


17.04 


31.64 


17.18 


31.56 


17.32 


36 


37 


32.67 


17.37 


32.59 


17.51 


32.52 


17.65 


32.44 


17.80 


37 


38 


33.55 


17.84 


33.47 


17.99 


33.39 


18.13 


33.32 


18.28 


38 


39 


34.43 


18.31 


34.35 


18.46 


34.27 


18.61 


34.19 


18.76 


39 


40 


35.32 


18.78 


35.24 


18.93 


35.15 


19.09 


35.07 


19.24 


40 


41 


36.20 


19.25 


36.12 


19.41 


36.03 


19.56 


35.95 


19.72 


41 


42 


37.08 


19.72 


37.00 


19.88 


36.91 


20.04 


36.82 


20.20 


42 


43 


37.97 


20.19 


37.88 


20.35 


.37.79 


20.52 


37.70 


20.68 


43 


44 


38.85 


20.66 


38.76 


20.83 


38.67 


20.99 


38.58 


21.16 


44 


45 


39.73 


21.13 


39.64 


21.30 


39.55 


21.47 


39.45 


21.64 


45 


46 


40.62 


21.60 


40.52 


21.77 


40.43 


21.95 


40.33 


22.13 


46 


47 


41.50 


22.07 


41.40 


22.25 


41.30 


22.43 


41.21 


22.61 


47 


48 


42.38 


22.53 


42.28 


22.72 


42.18 


22.90 


42.08 


23.09 


48 


49 


43.26 


23.00 


43.16 


23.19 


43.06 


23.38 


42.96 


23.57 


49 


50 


44.15 


23.47 


44.04 


23.67 


43.94 


23.86 


43.84 


24.05 


50 


C5 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


s 


■ 1 
62 Deg. 


61| Deg. 


ai^Deg. 


6U T>tg. 



TRAVERSE TABLE. 



69 



o 

P 
51 


28 Deg. 


28i Deg. 


28i Deg. 


281 Deg. 


1 

51 


Lat. 


Dep. 


Lat. Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


45.03 


23.94 


44.93 


24.14 


44.82 


24.34 


44.71 


24.63 


52 


45.91 


24.41 


45.81 


24.61 


45.70 


24.81 


45.59 


25.01 


52 


53 


46.80 


24.88 


46.69 


25.09 


46.58 


25.29 


46.47 


25.49 


53 


54 


47.68 


25.35 


47.57 


25.56 


47.46 


25.77 


47.34 


25.97 


54 


55 


48.56 


25.82 


48.45 


26.03 


48.33 


26.24 


48.22 


26.45 


55 


56 


49.45 


26.29 


49.33 


26.51 


49.21 


26.72 


49.10 


26.94 


56 


57 


50.33 


26.76 


50.21 


26.98 


50.09 


27.20 


49.97 


27.42 


57 


58 


51.21 


27.23 


51.09 


27.45 


50.97 


27.68 


50.85 


27.90 


58 


59 


52.09 


27.70 


51.97 


27.93 


51.85 


28.15 


51.73 


28.38 


59 


60 
61 


52.98 


28.17 


52.85 


28.40 


52.73 


28.63 


52.60 


28.86 


60 

61 


53.86 


28.64 


53.73 


28.87 


53.61 


29.11 


53.48 


29.34 


62 


54.74 


29.11 


54.62 


29.35 


54.49 


29.58 


54.36 


29.82 


62 


63 


55.63 


29.58 


55.50 


29.82 


55.37 


30.06 


55.23 


30.30 


63 


64 


56.51 


30.05 


56.38 


30.29 


56.24 


30.54 


56.11 


30.78 


64 


65 


57.39 


30.52 


57.26 


30.77 


57.12 


31.02 


56.99 


31.26 


65 


66 


58.27 


30.99 


58.14 


31.24 


58.00 


31.49 


57.86 


31.75 


66 


67 


59.16 


31.45 


59.02 


31.71 


58.88 


31.97 


58.74 


32.23 


67 


68 


60.04 


31.92 


59.90 


32.19 


59.76 


32.45 


59.62 


32.71 


68 


69 


60.92 


32.39 


60.78 


32.66 


60.64 


33.92 


60.49 


33.19 


69 


70 

71 


61.81 


32.86 


61.66 


33.13 


61.52 


33.40 


61.37 


33.67 


70 

71 


62.69 


33.33 


62.54 


33.61 


62.40 


33.88 


62.25 


34.15 


72 


63.57 


33.80 


63.42 


34.08 


63.27 


34.36 


63.12 


34.63 


72 


73 


64.46 


34.27 


64.30 


34.55 


64.15 


34.83 


64.00 


35.11 


73 


74 


65.34 


34.74 


65.19 


35.03 


65.03 


35.31 


64.88 


35.59 


74 


75 


66.22 


35.21 


66.07 


35.50 


65.91 


35.79 


1 65.75 


36.07 


75 


76 


67.10 


35.68 


66.95 


35.97 


66.79 


36.26 


166.63 


36.56 


76 


77 


67.99 


36.15 


67.83 


36.45 


67.67 


36.74 


67.51 


37.04 


77 


78 


68.87 


36.62 


68.71 


36.92 


68.. 55 


37.22 


68.38 


37.52 


78 


79 


69.75 


37.09 


69.59 


37.39 


69.43 


37.70 


69.26 


38.00 


79 


80 
81 


70.64 


37.56 


70.47 


37.87 


70.31 


38.17 


70.14 


38.48 


80 

81 


71.52 


38.03 


71.35 


38.34 


71.18 


38.65 


71.01 


38.96 


82 


72.40 


38.50 


72.23 


38.81 


72.06 


39.13 


171.89 


39.44 


82 


83 


73.28 


38.97 


73.11 


39.29 


72.94 


39.60 


72.77 


39.92 


83 


84 


74.17 


39.44 


73.99 


39.76 


73.82 


40.08 


73.64 


40.40 


84 


85 


75.05 


39.91 


74.88 


40.23 


74.70 


40.56 


74.52 


40.88 


85 


86 


75.93 


40.37 


75.76 


40.71 


75.58 


41.04 


75.40 


41.36 


86 


87 


76.82 


40.84 


76.64 


41.18 


76.46 


41.51 


76.28 


41.85 


87 


88 


77.70 


41.31 


77.52 


41.65 


77.34 


41.99 


77.15 


42.33 


88 


89 


78.58 


41.78 


78.40 


42.13 


78.21 


42,47 


78.03 


42.81 


89 


90 
91 


79.47 


42.25 


79.28 


42.60 


79.09 


42.94 


78.91 


43.29 


90 
91 


80.35 


42.72 


80.16 


43.07 


79.97 


43.42 


79.78 


43.77 


92 


81.23 


43.19 


81.04 


43.55 


80.85 


43.90 


80.66 


44.25 


92 


93 


82.11 


43.66 


81.92 


44.02 


81.73 


44.38 


81.54 


44.73 


93 


94 


83.00 


44.13 


82.80 


44.49 


82.61 


44.85 


82.41 


45.21 


94 


95 


83.88 


44.60 


83.68 


44.97 


83.49 


45.33 


83.29 


45.69 


95 


96 


84.76 


45.07 


84.57 


45.44 


84.37 


45.81 


84.17 


46.17 


96 


97 


85.65 


45.54 


85.45 


45.91 


85.25 


46.28 


85.04 


46.66 


97 


98 


86.53 


46.01 


86.33 


46.39 


86.12 


46.76 


85.92 


47.14 


98 


99 


87.41 


46.48 


87.21 


46.86 


87.00 


47.24 


86.80 


47.62 


99 


100 


88.29 


46.95 


88.09 


47.33 


87.88 


47.72 


87.67 


48.10 


100 

1 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


62 Deg. 


611 Deg. 


61i Deg. 


6U Deg. 



60 



TRAVERSE TABLE. 





o 

s 

CO 


29 Deg. 

1 


m Deg. 

. . . . . !i 


29 i Deg. 


291 Deg. 


1 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 1 Dep. 


Lat. 


Dep. 




0.87 


0.48 


0.87 


0.49 


0.87 1 0.49 1 


0.87 


0.50 


1 




2 


1.75 


0.97 


1.74 


0.98 


1.74 


0.98 


1.74 


0.99 


2 




3 


2.62 


1.45 


2.62 


1.47 


2.61 


1.48 


2.60 


1.49 


3 




4 


3.50 


1.94 


3.49 


1.95 


3.48 


1.97 


3.47 i 


1.98 


4 




5 


4.37 


2.42 


4.36 


2.44 


4.35 


2.46 


4.34 


2.48 


5 




6 


5.25 


2.91 


5.23 


2.93 


5.22 


2.95 


5.21 


2.98 


6 




7 


6.12 


3.39 


6.11 


3.42 


6.09 


3.45 


6.08 


3.47 


7 




8 


7.00 


3.88 


6.98 


3.91 


6.96 


3.94 


6.95 


3.97 


8 




9 


7.87 


4.36 


7.85 


4.40 


7.83 


4.43 


7.81 


4.47 


9 




10 
11 


8.75 
9.62 


4.85 


8.72 


4.89 


8.70 


4.92 1 

5.42 1 


8.68 


4.96 


10 
11 




5.33 


9.60 


5.37 


9.57! 


9.55 


5.46 




12 


10.50 


5.82 1 


10.47 


5.86 


10.44 


5.91 1 


10.42 


5.95 


12 




13 


11.37 


6.301 


11.34 


6.35 


11.31 


6.40 i 


11.29 


6.45 


13 




14 


12.24 


6.791 


12.21 


6.84 


12.18 


6.89 ! 


12.15 


6.95 


14 




15 


13.12 


7.27 1 


13.09 


7.33 


13.06 


7.39 ; 


13.02 


7.44 


15 




16 


13.99 


7.76 


13.96 


7.82 


13.93 


7.88 


13.89 


7.94 


16 




17 


14.87 


8.24 


14.83 


8.31 


14.80 


8.37 j 


14.76 


8.44 


17 




18 


15.74 


8.73 


15.70 


8.80 


15.67 


8.86 


15.63 


8.93 


18 




19 


16.62 


9.21 1 


16.58 


9.28 


16.54 


9.36^ 


16.50 


9.43 


19 




20 

21 


17.49 


9.701 


17.45 


9.77 


17.41 


9.85 1 


17.36 


9.92 


20 




18.37 


10.181 


18.32 


10.26 


1*8.28 


10.34 1 18.23 


10.42 


21 




22 


19.24 


10.671 


19.19 


10.75 


19.15 


10.83 i 19.10 


10.92 


22 




28 


20.12 


11.15' 


20.07 


11.24 


20.02 


11.33 1 19.97 


11.41 


23 




24 


20.99 


11.64 


20.94 


11.73 


20.89 


11.82 !l 20.84 


11.91 


24 




25 


21.87 


12.12 


21.81 


12.22 


21.76 


12.31 ii 21.70 


12.41 


25 




26 


22.74 


12.60 


22.68 


12.70 


22.63 


12.80 !i 22.57 


12.90 


26 




27 


23.61 


13.09 


23.56 


13.19 


23.50 


13.30 i 23.44 


13.40 


27 




28 


24.49 


13.57 


24.43 


13.68 


24.37 


13.79 


24.31 


13.89 


28 




29 


25.36 


14.06 


25.30 


14.17 


25.24 


14.28 


25.18 


14.39 


29 




30 

31 


26.24 


14.54 


26.17 


14.66 


26.11 


14.77 


26.05 


14.89 


30 




27.11 


15.03 


27.05 


15.15 


26.98 


15.27 


,26.91 


15.38 


81 




32 


27.99 


15.51 


27.92 


15.64 


27.85 


15.76 


27.78 


15.88 


82 




38 


28.86 


16.00 


28.79 


16.12 


28.72 


16.25 


28.65 


16.38 


88 




34 


29.74 


16.48 


29.66 


16.61 


29.59 


16.74 


29.52 


16.87 


34 




85 


30.61 


16.97 


30.54 


17.10 


30.46 


17.23 


30.39 


17,37 


35 




86 


31.49 


17.45 


31.41 


17.59 


31.33 


17.73 


31.26 


17.86 


36 




37 


32.. 36 


17.94 


32.28 


18.08 


132.20 


18.22 


32.12 


18.36 


37 




8S 


33.24 


18.42 


33.15 


18.57 


33.07 


18.71 


32.99 


18.86 


88 




89 


34.11 


18.91 


34.03 


19.06 


33.94 


19.20 


33.86 


19.35 


89 




40 


34.98 


19.39 


34.90 


19.. 54 


34.81 


19.70 


34.73 


19.85 


40 
41 




41 


35.86 


19.88 


35.77 


20.03 


35.68 


20.19 


35.60 


20.34 




42 


36.73 


20.36 


36.64 


20.52 


36.55 


20.68 


36.46 


20.84 


42 




48 


37.61 


20.85 


37.52 


21.01 


37.43 


21.17 


37.33 


21.34 


43 




44 


38.48 


21.33 


38.39 


21.. 50 


38.30 


21.67 


38.20 


21.83 


44 




45 


39.36 


21.82 


39.26 


21.99 


39.17 


22.16 


39.07 


22.33 


45 




46 


40.23 


22.30 


40.13 


22.48 


40.04 


22.65 


39.94 


22.83 


46 




47 


41.11 


22.79 


41.01 


22.97 


40.91 


23.14 


40.81 


23.32 


47 




48 


41.98 


23.27 


41.88 


23.45 


41.78 


23.63 


41.67 


23.82 


48 




49 


42.86 


23.76 


42.75 


23.94 


42.65 


24.13 


42.54 


24.31 


49 




50 


43.73 


24.24 


43.62 


24.43 


43.52 


24.62 


43.41 


24.81 


50 




a 
S 
.2 
O 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 
.2 
Q 




61 Deg. 


60f Deg. 


60i Deg. 


60i Deg. 



TRAVERSE TABLE. 



6i 



1 

o 
p 

~51 


29 Deg. 


29i Deg. 


29^ Deg. 


29| Deg. 


1 
"51 


Lat, 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


44.61 


24.73 


44.50 


24.92 


44.39 


25.11 


44.28 


25.31 


52 


45.48 


25.21 


45,37 


25.41 


45.26 


25.61 


45.15 


25.80 


52 


53 


46.35 


25.69 


46.24 


25.90 


46.13 


26.10 


46.01 


26.30 


53 


54 


47.23 


26.18 1 


47.11 


26.39 


47.00 


26.59 


46.88 


26.80 


54 


55 


48.10 


26.66 1 


47.99 


26.87 


47.87 


27.08 


47.75 


27.29 


55 


56 


48.98 


27.15 


48.86 


27,36 


48.74 


27.58 


48.62 


27.79 


56 


57 


49.85 


27.63 


49.73 


27.85 


49.61 


28.07 


49.49 


28.28 


bV 


58 


50.73 


28.12 


50.60 


28.34 


50.48 


28.56 


50.36 


28.78 


58 


59 


51.60 


28.60 


51.48 


28.83 


51.35 


29.05 


51.22 


29.28 


by 


60 
'61 


52.48 


29.09 
29.57 


52.35 


29.32 


52.22 


29.55 


52.09 


29,77 


60 
61 


53.35 


53.5i2 


29.81 


53.09 


30.04 


52.96 


30,27 


62 


54.23 


30.06 


54.09 


30.29 


53.96 


30.53 


53.83 


30.77 


62 


63 


55.10 


.30.54 


54.97 


30.78 


.54.83 


31.02 


54.70 


31.26 


63 


64 


55.98 131.03 1 


55.84 


31.27 


55.70 


31.52 


55.56 


31.76 


64 


65 


56.85 


31.51 


56.71 


31.76 


56.57 


32.01 


56.43 


32.25 


6b 


66 


57.72 


32.00 


57.58 


32.25 


57.44 


32.50 


.57.30 


32.75 


66 


67 


58.60 


32.48 


.58.46 


32.74 


58.31 


32.99 


58.17 


33.25 


6V 


68 


59.47 


32.97 


.59.33 


33.23 


59.18 


33.48 


59.04 


33.74 


68 


69 


60.35 


33.45 


60,20 


.33.71 


60.05 


33.98 


59.91- 


34.24 


69 


70 
71 


61.22 


33.94 


61.07 


34.20 


60.92 


34.47 


60.77 


34.74 


VO 


62.10 


34.42 


61.95 


34.69 


61.80 


34.96 


61.64 


35,23 


71 


72 


62.97 


34.91 


62.82 


35.18 


62.67 


35.45 


62.51 


35.73 


72 


73 


63.85 


35.39 


63.69 


35.67 


63.54 


35.95 


63.38 


36.22 


73 


74 


64.72 


35.88 


64.56 


36.16 


64.41 


36.44 


64.25 


36.72 


74 


75 


65.60 


36.36 


65.44 


36.65 


65.28 


36.93 


65.11 


37.22 


75 


76 


66.47 


36.85 


66.31 


37.14 


66.15 


37,42 


65.98 


37.71 


76 


77 


67.35 


37.33 


67.18 


37.62 


67.02 


37.92 


66.85 


38.21 


77 


78 


68.22 


37.82 


68.05 


38.11 


67.89 


38.41 


67.72 


38.70 


78 


79 


69.09 


38.30 


68.93 


38.60 


68.76 


38.90 


68.59 


39.20 


79 


80 
81 


69.97 
70.84 


38.78 


69.80 


39.09 


69.63 


39.39 


69.46 


39.70 


80 

81 


39.27 


70.67 


39.58 


70., 50 


39.89 


70.. 32 


40.19 


82 


71.72 


39 . 75 


71.54 


40.07 


71.37 


40.38 


71 . 19 


40.69 


82 


83 


72.59 


40.24 


72.42 


40.56 


72.24 


40.87 


72.06 


41 . 19 


83 


84 


73.47 


40.72 


73.29 


41.04 


73.11 


41.36 


72.93 


41.68 


84 


85 


74.34 


41.21 


74.16 


41.53 


73.98 


41.86 


73.80 


42.18 


85 


86 


75.22 


41.69 


75.03 


42.02 


74.85 


42.35 


74.67 i 43.67 


86 


87 


76.09 


42.18 


75.91 


42.51 


75.72 


42.84 


75.53 


43.17 


87 


88 


76.97 


42.66 


76.78 


43.00 


76.59 


43.33 


76.40 


43.67 


88 


89 


77.84 


43.15 


77.65 


43.49 


77.46 


43.83 


77.27 


44.16 


89 


90 

91 


78.72 


43.63 


78.52 


43.98 


78.33 


44.32 

44.81 


78.14 


44.66 


90 


79.59 


44.12 


79.40 


44.46 


79.20 


79.01 


45.16 


91 


92 


80.46 


44.60 


80.27 


44.95 


80.07 


45.30 


79.87 


45.65 


92 


93 


81.34 


45,09 


81.14 


45.44 


80.94 


45.80 


80.74 


46.15 


93 


94 


82.21 


45.57 


82.01 


45.93 


81.81 


46.29 


81.61 


40.64 


94 


95 


83.09 


46.06 


82.89 


46.42 


82.68 


46.78 


82.48 


47.14 


95 


96 


83.96 


46.54 


83.76 


46.91 


83.55 


47.27 


83.35 


47.64 


96 


97 


84.84 


47.03 


84.63 


47.40 


84.42 


47.77 


84.22 


48.13 


97 


98 


85.71 


1 47.51 


85.50 


47.88 


85.29 


48.26 


85.08 


48.63 


98 


99 


86.59 


'48.00 


86.38 


48.37 


86.17 


48.75 


85.95 


49.13 


99 


100 

i 

5 


87.46 


i 48.48 


87.25 


48.86 


87.04 


49.24 


86.82 


49.62 


100 

1 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


61 Deg. 


601 Deg. 


601 Deg. 


60i Deg. 



62 



TKAVERSE TABLE, 





1 


30 Deg. 


304 Deg. 


30f Deg. 


301 Deg. 




3 
o 
a 

"1 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




0.87 


0.50 


0.86 


0.50 


0.86 


0.51 


0.86 


0.51 




2 


1.73 1.00 1 


1.73 


1.01 


1.72 


1.02 


1.72 


1.02 


2 




3 


2.60 1.50 


2.59 


1.51 


2.58 


1.52 


2.58 


1.53 


3 




4 


3.46 i 2.00 


3.46 


2.02 


3.45 


2.03 


3.44 


2.05 


4 




5 


4.33 


2.50 


4.32 


2.52 


4.31 


2.54 


4.30 


2.56 


5 




6 


5.20 


3.00 


5.18 


3.02 


5.17 


3.05 


5.16 3.071 


6 




7 


6.06 


3.50 


6.05 


3.53 


6.03 


3.55 


6.02 


3.58 


7 




8 


6.93 


4.00 


6.91 


4.03 


6.89 


4.06 


6.88 


4.09 


8 




9 


7.79 


4.50 


7.77 


4.53 


7.75 


4.57 


7.73 


4.60 


9 




10 
11 


8.66 


5.00 


8.64 


5.04 


8.62 


5.08 


8.59 


5.11 


10 
11 




9.53 


5.50 


9.50 


5.54 


9.48 


6.58 


9.45 


5.62 




12 


10.39 


6.00 


10.37 


6.05 


10.34 


6.09 


10.31 


6.14 


12 




13 


11.26 


6.50 


11.23 


6.55 


11.20 


6.60 


11.17 


6.65 


13 




14 


12,12 


7.00 


12.09 


7.05 


12.06 


7.11 


12.03 


7.16 


14 




15 


12.99 


7.50 


12.96 


7.56 


12.92 


7.61 


12.89 


7.67 


15 




16 


13.86 


8.00 


13.82 


8.06 


13.79 


8.12 


13.75 


8.18 


16 




17 


14.72 


8.50 


14.69 


8.56 


14.65 


8.63 


14.61 


8.69 


17 




18 


15.59 


9.00 


15.55 


9.07 


15.51 


9.14 


15.47 


9.20 


18 




19 


16.45 


9.50 


16.41 


9.57 


16.37 


9.64 


16.33 


9.71 


19 




20 
21 


17.32 


10.00 


17.28 


10.08 1 


17.23 


10.15 


17.19 


10.23 


20 

21 




18.19 10.50 1 


18.14 


10.58: 


18.09 


10.66 


18.05 


10.74 




22 


19.05 


11.00 


19.00 


11.08 ; 


18.96 


11.17 


18.91 


11.25 


22 




23 


19.92 


11.50 


19.87 


11.59 1 


19.82 


11.67 


19.77 


11.76 


23 




■24 20.78 


12.00 


20.73 


12.09 ! 


20.68 


12.18 


20.63 


12.27 


24 




25 


21.65 


12.50 


21.60 


12.59 1 


21.54 


12.69 


21.49 


12.78 


25 




26 


22.52 


13.00 


22.46 


13.10 i 


22.40 


13.20 


22.34 


13.29 


26 




27 


23.38 


13.50 


23.32 


13.60 


23.26 


13.70 


23.20 


13.80 


27 




28 


24.25 


14.00 


24.19 


14.11 


24.13 


14.21 


24.06 


14.32 


28 




29 


25.11 


14.50 


25.05 


14.61 


24.99 


14.72 


24.92 


14.83 


29 




30 
31 


25.98 


15.00 


25.92 


15.11 


25.85 


15.23 


25.78 


15.34 


30 
31 




26.85 


15.50 


26.78 


15.62 


26.71 


15.73 


26.64 


15.85 




32 


27.71 


16.00 


27.64 


16.12 


27.57 


16.24 


27.50 


16.36 


32 




33 


28.58 


16.50 


28.51 


16.62 


28.43 


16.75 


28.36 


16.87 


33 




34 


29.44 


17.00 


29.37 


17.13 


29.30 


17.26 


29.22 


17.38 


34 




35 


30.31 


17.50 


30.23 


17.63 


30.16 


17.76 


30.08 


17.90 


35 




36 


31.18 


18.00 


31.10 


18.14 


31.02 


18.27 


30.94 


18.41 


36 




37 


32.04 


18.50 


31.96 


18.64 


31.88 


18.78 


31.80 


18.92 


37 




38 


32.91 


19.00 


32.83 


19.14 


32.74 


19.29 


32.66 


19.43 


38 




39 


33.77 


19.50 


33.69 


19.65 


33.60 


19.79 


33.52 


19.94 


39 




40 
41 


34.64 


20.00 


34.55 


20.15 


34.47 


20.30 


34.38 


20.45 


40 
41 




35.51 


20.50 


35.42 


20.65 


35.33 


20.81 


35.24 


20.96 




42 


36.37 


21.00 


36.28 


21.16 


36.19 


21.32 


36.10 


21.47 


42 




43 


37.24 


21.50 


37.14 


21.66 


37.05 


21.82 


36.95 


21.99 


43 




44 


38.11 


22.00 


38.01 


22.17 


37.91 


22.33 


37,81 


22.50 


44 




45 


38.97 


22.50 


38.87 


22.67 


38.77 


22.84 


38.67 


23.01 


45 




46 


39.84 


23.00 


39.74 


23.17 


39.63 


23.35 


39.53 


23.52 


46 




47 


40.70 


23.50 


40.60 


23.68 


40.50 


23.85 


40.39 


24.03 


47 




48 


41.57 


24.00 


41,46 


24.18 


41.36 


24.36 


41.25 


24.54 


48 




49 


42.44 


24.50 


42.33 


24.68 


42.22 


24.87 


42.11 


25.05 


49 




50 

o 


43.30 


25.00 


43.19 


25.19 


43.08 


25.38 


42.97 


25.56 


60 

s 

1 

3 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 




60 Deg. 


591 Deg. 


591 


Deg. 


S9i Deg. 



TRAVERSE TABLE. 



63 



o 

~51 


30 Deg. 


30i Deg. 


30i Deg. 


30 Deg. 


Q 

O 

"51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


44.17 


25.50 


44.06 


25.69 


43.94 


25.88 


43.83 


26.08 


52 


45.03 


26.00 


44.92 


2O.20 


44.80 


26.39 


44.69 


26.59 


52 


53 


45.90 


26.50 


45.78 


26 70 


45.67 


26.90 


45.55 


27.10 


53 


54 


46.77 


27.00 


46.65 


27.20 


46.53 


27.41 


46.41 27.61 


54 


55 


47.63 


27.50 


47.51 


27.71 


47.39 


27.91 


47.27 


28.12 


55 


56 


48.50 


28.00 


48.37 


28.21 


48.25 


28.42 


48.13 


28.63 


56 


57 


49.36 


28.50 


49.24 


28.72 


49.11 


2S.93 


48.99 


29.14 


57 


58 


50.23 


29.00 


50.10 


29.22 


49.97 


29. i4 


49.85 


29.65 


58 


59 


51.10 


29.50 


50.97 


29.72 


50.84 


29.94, 


50.70 


30.17 1 59 


60 
61 


51.96 


30,00 


51.83 


30.23 
30.73 


51.70 


30.45 


51.56 

52.42 


30.68 1 60 
31.19 ! 61 


52.83 


30.50 


52.69 


52.56 


30.96 


62 


53.69 


31.00 


53.56 


31.23 


53.42 


3i.47 


53.28 


31.70 62 


63 


54.56 


31.50 


54.42 


31.74 


54.28 31.97 1154.14 


82.21 


63 


64 


55.43 


32.00 


55.29 


.32.24 


55.14 


32.48 1 55.00 


32.72 


04 


65 


56.29 


32.50 


56.15 


32.75 


56.01 


32.99!! 55.86 


33.23 


65 


66 


57.16 


33.00 


57.01 


33.25 


56.87 


33.50 1! .56.72 


33.75 


66 


67 


58.02 


33.50 


57.88 


33.75 


57.73 


34.01 1157.58 


34.26 


67 


68 


58.89 


34.00 


58.74 


34.26 


58.59 


34.51 ; .58.44 


34.77 


68 


69 


59.76 


34.50 


59.60 


.34.76 


59.45 


35.02 59.30 


35.28 


69 


70 
71 


60.62 


35.00 1 


60.47 


35.26 


60.31 


35.53 60.16 


35.79 


70 

71 


61.49 


35.50 1 


61.33 


35.77 


61.18 


36.04 61.02 


36.30 


72 


62.35 


36.00 ' 


62.20 


36.27 


62.04 


36.54 61.88 


36.81 


72 


73 


63.22 


36.50] 


63.06 


36.78 


62.90 


37.05 62.74 


37.32 


73 


74 


64.09 


37.00 


63.92 


37.28 


63.76 


37.56 ,63.60 


37. S4 


74 


75 


64.95 


37.50 


64.79 


37.78 


64.62 


38.07 164.46 


38.35 


75 


76 


65.82 


.38.00' 


65.65 


38.29 


65.48 


38.57 


65.31 


38.86 


76 


77 


66.68 


38.50 


66.52 


38.79 


66.35 


39.08 


66.17 


39.37 


77 


78 


67.55 


39.00 


67.38 


39.29 


67.21 


39.59 


67.03 


39.88 


78 


79 


68.42 


39.50 


68.24 


39.80 


68.07 


40.10 


67.89 


40.39 


79 


80 

81 


69.28 


40.00 


69.11 
69.97 


40.30 


68.93 


40.60 


68.75 


40.90 


80 
81 


70.15 


40.50 


40.81 


69.79 


41.11 


69.61 


41.41 


82 


71.01 


41.00 


.70.83 


41.31 


70.65 


41.62 


70.47 


41.93 


82 


S3 


71.88 


4i..50 


71.70 


41.81 


71., 52 


42.13 


71.33 


42.44 


83 


84 


72.75 


42.00 


72.56 


42.32 


72.38 


42.63 


72.19 


42.95 


84 


85 


73.61 


42.50 


1 73.43 


42.82 


73.24 


43.14 


73.05 


43.46 


Sf. 


86 


74.48 


43.00 


1 74.29 


43.-32 


74.10 


43.65 


73.91 


43.97 


8f^. 


87 


75.34 


43.50 


75.15 


43. S3 


174.96 


44.16 


74.77 


44.48 


87 


88 


76.21 


44.00 


I 76.02 


44.33 75.82 


44.66 


75.63 


44.99 


8H 


89 


77.08 


44.50 


! 76.88 


44.84 76.68 


45. i7 


76.49 


45.51 


89 


90 
91 


77.94 


45.00 


77.75 


45.. 34 


77.55 


45.68 


77.35 


46.02 


90 
91 


78.81 


45.50 


78.61 


45.84 


78.41 


46.19 


178.21 


46.53 


92 


79.67 


46.00 


79.47 


46.35 79.27 


46.69 ii 79.07 


47.04 


92 


93 


80.54 


46.50 


80.34 


46.85 80.13 


47.20 


179.92 


47 ..55 


93 


94 


81.41 


47.00 


81.20 


47.35 80.99 147.71 


180.78 


48.06 


94 


95 


82.27 


47.50 


82.06 


47.86 81.85 148.22 


81.64 


48.57 


9r^ 


96 


83.14 


48.00 


82.93 


48.36 82.72 1 48.72 ; 82.50 


49.08 


96 


97 


84.00 


48.50 


83.79 


48.87 83.58 


49.23;, 83.36 


49.60 


97 


98 


84.87 


49.00 


84.66 


49.37 84.44 


49.74 


84.22 


50.11 


98 


99 


85.74 


49.50 


85.52 


49.87 85.30 


50.25 


85.08 


50.62 


99 


100 

o 
1 


86.60 


50.00 


86.38 


.50.38 86.16 


50.75 


85.94 


51.13 


100 


Dep. 


Lat. 


Dep 


Lat. Dep. 


Lat. 


Dep. 


Lat. 


60 Deg. 


59i Deg. 59i Deg. 


59^ Deg. 



64 



TRAVERSE TABLE. 



o 

5' 

PS 


31 


Deg. 


m Deg. 


1 21h Deg. 


1 

3l| Deg. 

1 





3 
P 
1 


Lai. 
0.86 


Dep. 


Lat. 


Dep. 


Lat. 


1 Dep. 


Lat. 


Dep. 


0.51 


0.85 


0.52 


f 0.85 


i 0.52 


0.85 


0.53 


1 


2 


1.71 


1.03 


1.71 


1.0^ 


1.71 


: 1.04 


1.70 


1.05 


2 


3 


2.57 


1.55 


2.56 


1.66 


2.56 


i 1.57 


2.55 


1.58 


3 


4 


3.43 


2.06 


1 3.42 


2.08 


3.41 


2.09 


3.40 


2.10 


4 


5 


4.29 


2.58 


1 4.27 


2.59 


4.26 


2.61 


4.25 


2.63 


5 


6 


5.14 


3.09 


5.13 


3.11 


5.12 


1 3.13 


5.10 


3.16 


6 


7 


6.00 


3.61 


5.98 


3.63 


5.97 


1 3.66 


5.95 


3.68 


7 


8 


6.86 


4.12 


6.84 


4.15 


6.82 


; 4.18 


6.80 


4.21 


8 


9 


7.71 


4.64 


7.69 


4.67 


7.67 


: 4.70, 


7.65 


4.74 


9 


10 
11 


8.57 
9.43 


5.15 


8.55 


5.19 


8.53 


■ 5.22 


8.50 


5.26 


10 


3.67 


9.40 


5.71 


9.38 


; 5.75! 


9.35 


5.79 


11 


12 


10.29 


6.18 


10.26 


6.23 


10.23 


: 6.27j 


10.20 


6.31 


12 


13 


11.14 


6.70 


11.11 


6.74 


11.08 


6.79! 


11.05 


6.84 


13 


14 


12.00 


7.21 


11.97 


7.26 


11.94 


i 7.31 


11.90 


7.37 


14 


15 


12.86 


7.73 


12.82 


7.73 


12.79 


i 7. Ml 


12.76 


7.89 


15 


16 


13.71 


8.24 


13.68 


8.30 


13.64 


8.36 i 


13.61 


8.42 i 16 


17 


14.57 


8.76 


14.53 


8.82 


14.49 


8.631 


14.46 


8.95 17 


18 


15.43 


9.27 


15.39 


9.34 


15.35 


9.40 


15.31 


9.47 18 


19 


16.29 


9.79 


16.24 


9.86 


16.20 


, -9.93! 


16.16 


10.00 19 


20 

21 


17.14 


10.30 


17.10 


10.38 


17.05 


10.45! 


17.01 


10.52 20 


18.00 


10.82 1 


17.95 


10.89 


17.91 


10.97 


17.86 


11.05 


21 


22 


18,86 


11.331 


18.81 


11.41 


18.76 


11.49 ;i 18.71 


11.58 


22 


23 


19.71 


11.85 


19.66 


11.93 


19.61 


12.02 1 19.56 


12.10 


23 


24 120.57 


12.36 


20.52 


12.45 


20.46 


12.54 '20.41 


12.63 


24 


25 21.43 


12.88 


21.37 


12.97 


21.32 


13.06 ! 21.26 


13.16 


25 


26 1 22.29 


13.39 


22.23 


13.49; 


22.17 


13.58 ! 22.11 


13.68 


26 


27 23.14 


13.91 


23.03 


14.01 1 


23.02 


14.11 ! 22.96 


14.31 


27 


28 24.00 


14.42 23.94 


14.53' 


23.87 


14.63 123.81 


14.73 


23 


29 24.86 


14.94 


24.79 


15.04 


24.73 


15.15 1 24.66 


15.26 


29 


30 25.71 


15.45 


25.65 
26.50 


15.56 
16.08. 


25.58 


15.67 1 


25.51 
26.36 


15.79 


3) 


31 26.57 


15.97 i 


26.43 


16.20 i 


16.31 


31 


33 


27.43 


16.48 j 
17.00 


27.36 


18.60 1 


27.28 


16.72 1 27.21 


16.84 


32 


33 


28.29 


28.21 


17.12; 


28.14 


17.24 


28.06 


17.37 


33 


34 


29.14 


17.51 


29.07 


17.64; 


28.99 


17.76 


28.91 


17.39 


34 


35 


30.00 


18.03 


29.93 


18.16 


29.84 


18.29 


29.76 


18.42 


35 


36 


30.86 


18.54 1 


30.78 


18.68 i 


30.70 


18.81 


30.61. 


18.94 


36 


37 


31.72 


19.06! 


31.63 


19.19! 


31.55 


19.33 


31.46 


19.47 


37 


38 


32.57 


19.57 1 


32.49 


19.711 


32.40 


19.85 


32.31 


20.00 


38 


39 


33.43 


20.09 i 


33.34 


20.23 1 


33.25 


20.38" 


33.16 


20.52 


39 


40 


34.29 


20.60! 


.34.20 
35.05 


20.75* 

21.27; 


34.11 
34.96 


20.90 

21.42 i 


34.01 


21.05 


40 


41 


35.14 


21.12; 


34.86 


21.57 


41 


42 36.00 


21.63 


35.91 


21.79 


35.81 


21.94 i; 35.71 1 


22.10 


42 


43 36.86 


22.15, 


36.76 


22.31 


36.66 


22.47!, 36.57 j 


22.63 


43 


U 137.72 


22.66! 


37.62 


22.83 


37.52 


22.99 |i 37.42 : 


23.15 


44 


45 38.57 


23.18 


38.47 


23.34: 


38.37 


23.51 || .38.27: 


23.68 


4.'-. 


46 


39.43 


23.69 


39.33 


23.88; 


39.22 


24.03 39.12 1 


24.21 


46 


47 


40.29 


24.21 


40.18 


24.38: 


40.07 


24. 56 !J .39. 97 


24.73 


47 


48 


41.14 


24.72 


41-04 


24.90, 


40.93 


25.08 ;. 40.82 


25.26 


48 


49 


42.00 


25.24 


41.89 


25.42; 


41.78 


25.60 ;!41.67 


25.78 


49 


ii 


42.86 


25.75 


42.75 


25.94i 


42.63 


26.12 j 42.52 | 


26.31 


50 


6 
o 

5 

5 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


i 


59 I 


>eg 


581 ] 


Deg. 


58^ 


Deg. 


5Hk 1 


leg, 


"i 


^^ 












- 1 



TRAVERSE TABLE. 



66 





31 Deg. 


3U Deg. 


3li Deg. 


3i| Deg. 


D 

w 

i 
1 

51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat 


Dep. 


Lat. 


Dep. 


43.72 


26.27 


43.60 


26.46 


43.48 


26.65 


43.37 


26.84 


52 


44.57 


26.78 


44.46 


26.98 


44.34 


27.17 


44.22 


27.36 


52 


53 


45.43 


27.30 


45.31 


27.49 


45.19 


27.69 


45.07 


27.89 


53 


54 


46.29 


27.81 


46.17 


28.01 


46.04 


28.21 


45.92 


28.42 


54 


55 


47.14 


28.33 


47.02 


28.53 


46.90 


28.74 


46.77 


28.94 


55 


56 


48.00 


28.84 


47.88 


29.05 


47.75 


29.26 


47.62 


29.47 


56 


57 


48.86 


29.36 


48.73 


29.57 


48.60 


29.78 


48.47 


29.99 


57 


58 


49.72 


29.87 


49.58 


30.09 


49.45 


30.30 


49.32 


30.52 


58 


59 


50.57 


30.39 


50.44 


30.61 


50.31 


30.83 


.50.17 


31.05 


59 


60 
61 


51.43 


30.90 1 


51.29 


31.13 


51.16 
52.01 


31.35 

31.87 1 


51.02 


31.57 


60 
6i 


52.29 


3J .42' 


52.15 


31.65 1 


51.87 


32.10 


62 


53.14; 31.93 1 


53.00 132.16! 


52.86 


32.39 


52.72 


32.63 


62 


63 


54.00 132.45 1 


53.86 


32.68! 


53.72 


.32 . 92 


53.57 


33.15 


63 


64 


54.86 I 32. 96 


54.71 


33.20! 


54.57 


33.44 


54.42 


33.68 


64 


65 


55.72 133.48 


55.57 


33.72 1 


55.42 


33.96 


55.27 


34.20 


65 


66 


56.57 1 33.99 1 


56.42 


.34.24 156.27 


34.48 1 


56.12 


34.73 


66 


67 


57.43 1 34.51 \ 


57.28 


34.76 ; 57. 13 


35.01 1 


56.98 


35.26 


67 


68 


58.29 i 35.02! 


.58.13 


35.28 1157.98 


35.53 1 


57.82 


35.78 


68 


69 


59. 14 135.54; 


58.99 35.80 11 58.83 


36.05 


58.67 


36.31 


69 


70 
71 


60.00 


36.05; 


59.84 1 36. 3i j 
60.70 36,93 


59.68 


36.57 1 


.59.52 
60.37 


36.83 


70 
71 


60.86 


36.57 


60.54 


37.10 1 


37.36 


72 


61.72 


37.08 61.55 137.35 61. ,39 


37.62! 


61.23 


37.89 


72 


73 


62.57 


37.60 !i 62.41 37.87 62.24 


38.14 


62.08 


38.41 


73 


74 


63.43 


38.11 63.26 138.39 63.10 


38.66 


62.93 


38.94 


74 


75 


64.29 


38.63 64.12 138.91 63.95 


39.19 


63.78 


39.47 


75 


76 


65.14 


39.14 64.97 139.43 64.80 


39.71 


64.63 


39.99 


76 


77 


66.00 


39.66 65.83 ; 39.95 ,65.65 


40.23 


65.48 


40.52 


77 


78 


66.86 


40.17 1 


66.68 


40.46 


66.51 


40.75 


I 66.33 


41.04 


78 


79 


67.72 


40.69 


67.54 


40.98 


67.36 


41.28 


167.18 


41.57 


79 


80 

81 


68.. 57 41.20 
69.43 41.72 


68 . 39 


41.50 


68.21 


41.80 


; 38.03 

1 68.88 


42.10 


80 

8i 


69.25 


42.02 


69.06 


42.32 


43.62 


82 


70.29 '42.23 


70.10 


42.54 


69.92 


42.84 


69 . 73 


43.15 


8-^ 


83 


71.14; 42.75' 


70.96 


43.06 


70.77 


43.37 


1 70.58 


43.68 


83 


84 


72.00 1 43.26 


71.81 


43.58 


71.62 


43.89 


i 71.43 


44.20 


84 


85 


72.86] 43.78 


72.67 


44.10 


72.47 


44.41 


1 72.28 


44.73 


85 


86 


73.72 : 44.29 


73 . 52 


44.61 


73.33 


44.93 


73.13 


45.25 


88 


87 


74.57^44.81 


74.38 


45.13 


74.18 


45.46 


73.9^ 


45.78 


87 


88 


75.43 45.32 


75.23 


45.65 


75.03 


45 . 98 


74.83 


46.31 


88 


89 


76.29 '45.84 


76.09 


46.17 


75.88 


46.50 


1 75.68 


46.83 


89 


90 


77.15 46. .35 


76.94 


46.69 


76.74 


47.02 


1 76.53 

77.38 


47.36 


90 


91 


78.00 1*46.87 


77.80 


47.21 


77.59 


47.55 


47.89 


91 


92 


78.86 147.38 


78.65 


47.73 


78.44 


48.07!! 78.23 


48.41 


92 


93 


79.72 147.90 


79.51 


48.25 


79.30 


48.59 


79.08 


48.94 


93 


94 


80..57: 48.41 


80.36 


48.76 


80.15 


49.11 


79.93 


49.47 


94 


95 


81.43 


,48.93 


81.22 


49.28 


81.00 


49.64 


80.78 


49.99 


95 


96 


82.29 


; 49.44 


82.07 


49.80 


81.85 


50.16 


81.63 


50.52 


96 


97 


83.15 


49.96 


82.93 


50.32 


82.71 


.50.68 


82.48 


51.04 


97 


98 


84.00 


; 50.47 


83.78 


50.84 


83.56 


51.20 


83.33 


51.57 


9R 


99 


84.86 


50.99 


84.64 


51.36 


84.41 


51.73 


: 84.18 


52.10 


99 


100 

i 

2 


85.72 
Dep. 


■51.50 
! Lat. 


85.49 


51.88 


85.26 


5i;.25 


85.04 


.52.62 


100 

i 
J 

(5 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


39 Deg. 


581 Deg. 


581 Deg. 


581 Deg. 



66 



TRAVERSE TABLE. 





32 Deg. 


32i Deg. 


32^ Deg, 


1 321 Deg. 


a 




Lat. 


Dep. 


Lat. 


Dep. 




Lat. 


Dep. 


Lat. 


Dep. 




1 


0.85 


0.53 


0.85 


0.53 


0.84 


0.54 


0.84 


0.54 


1 




2 


1.70 


1.06 


1.69 


1.07 


1.69 


1.07 


1.68 


1.08 


2 




3 


2.54 


1.59 


2.54 


1.60 


2.53 


1.61 


2.52 


1.62 


3 




4 


3.39 


2.12 


3.38 


2.13 


3.37 


2.15 


3.36 


2.16 


4 




5 


4.24 


2.65 


4.23 


2.67 


4.22 


2.69 


4.21 


2.70 


5 




6 


5.09 


3.18 


5.07 


3.20 


5.06 


3.22 


5.05 


3.25 


6 




7 


5.94 


3.71 


5.92 


3.74 


5.90 


3.76 


5.89 


3.79 


7 




8 


6.78 


4.24 


6.77 


4.27 


6.75 


4.30 


6.73 


4.33 


8 




9 


7.63 


4.77 


7.61 


4.80 


7.59 


4.84 


7.57 


4.87 


9f 


10 
11 


8.48 


5.30 


8.46 


5.34 


8.43 


5.37 


8.41 


5.41 


10 
11 




9.33 


5,83 


9.30 


5.87 


9.28 


5.91 ii 9.25 


5.95 




12 


10.18 


6.36 


10.i5i 6.40 


10.12 


6.45 ll 10.09 


6.49 


12 




13 


11.02 


6.89 


1 10.99 


6.94 


10.96 


6.98 


10.93 
11.77 


7.03 


13 




14 


11.87 


7.42 


1 11.84 


7.47 


11.81 


7.62 


7.57 


14 




15 


12.72 


7.95 


1 12.69 


8.00 


12.65 


8.06 


; 12.62 


8.11 


15 




16 


13.57 


8.48 


1 13.53 


8.54 


13.49 


8.60 


i 13.46 


8.66 


16 




17 


14.42 


9.01 


1 14.38 


9.07 


14.34 


9.13 


i 14.30 


9.20 


17 




18 


15.26 


9.54 |i 15.22 


9.61 


15.13 


9.67 


; 15.14 


9.74 


18 




19 


16.11 


10.07 11 16.07 


10.14 


16.02 


10.21 15.98 


10.28 


19 




20 


16.96 


10.60 ' 16.91 


10.67 


16.87 


10.75 16.82 


10.82 


20 




21 


17.81 


11.13 17.76 


11.21 


17.71 


11.28 17.66 


11.36 


21 




22 


18.66 


11.66 18.61 


11.74 


18.55 


11.82 18.50' 


11.90 


22 




23 


19.51 


12.19 19.45 


12.27 


19.40 


12.36 19.34 


12.44 


23 




24 


20.35 


12.72 


20.30 


12.81 


20.24 


12.90 ,20.18 


12.98 


24 




25 


21.20 


13.25 


21.14 


13.34 


21.08 


13.43 


21.03 


13.52 


25 




26 


22.05 


13.78 


21.99 


13.87 


21.93 


13.97: 


21.87 


14.07 


26 




27 


22.90 


14.31 


22.83 


14.41 


22.77 


14.51 \ 


22.71 


14.61 


27 




28 


23.75 


14.84 


23.68 


14.94 


23.61 


15.04 1 


23.55 


15.15 


28 




29 


24.59 


15.37 


24.53 


15.47 


24.48 


15.58 


24.39 


15.69 


29 




30 


25.44 


15.90 


25.37 


16.01 ; 


25.30 


16.12 


25.23 


16.23 


30 




31 


26.29 


16.43 1 


26 . 22 


16.54 


26.15 


16.66 


26.07 


16.77 


31 




32 


27.14 


16.96 j 


27.06 


17.08 


26.99 


17.19 


26.91 


17.31 


32 




33 


27.99 


17.49 


27.91 


17.61 


27.83 


17.73 


27.75 


17.85 


33 




34 


28.83 


18.02 i 


2S . 75 


18.14 


28.68 


18.27 


28.60 


18.39 


34 




35 


29.68 


18.55 t 


29.60 


18.68 


29.52 


18.81 ' 


29.44 


18.93 


35 




36 


30.53 


19.08 


30.45 


19.21 


30. 36 


19.34 


30.28 


19.48 


36 




37 


31.38 


19.61 


31.29 


19.74 


31.21 


19.88 : 


31.12 


20.02 


37 




38 


32.23 


20.14 


32.14 


20.28 


32.05 


20.42! 


31.96 


20.56 


38 




39 


33.07 


20.67 


32.98 


20.81 


32.89 


20.95 


32.80 


21.10 


39 




40 


33.92 


21.20 


33.83 


21.34 


33.74 

34.58 


21.49 


33.64 


21.64 


40 

41 




41 


34.77 


21.73 1 


34.67 


21.88 


22.03 


34.48 


22.18 




42 


35.62 


22.26 


35.52 


22.41 


35.42 


22.57 


35.32 


22.72 


42 




43 


36.47 


22.79 ! 


36.37 


22.95' 


36.27 


23.10 


36.16 


23.26 


43 




44 


37.31 


23.32 : 


37.21 


23.48 


37.11 


23.64 


37.01 


23.80 


44 




45 


38.16 


23.85 1 


38.06 1 


24.01 


37.95 


24.18 


37.85 


24.34 


45 




46 


39.01 


24.38 


38.90 124.55 { 


38.80 


24.72 |1 


38.69 


24.88 


46 




47 


39.86 


24.91 


39.75 1 25.08 


39.64 


25.25 1-' 


39.53 


25.43 


47 




48 


40.71 


25.44 


40.59:25.61 


40.48 


25.79 ii 


40.37 


25.97 


48 




49 


41.55 


25.97 i 


41.44! 26.15 


41.33 


26.33 il 


41.21 


26.51 


49 




50 

1 

1 


42.40 


26.50 


42.29 26.68 


42.17 


26.86 i 
Lat. i 


42.05 


27.05 


50 




Dep. 


Lat. 


Dep. Lat. 


Dep. 


Dep 


Lat. 


1 

.2 




58 Deg. 


571 Deg. 

1! 


57^ Deg. 


57^ Deg. 





TRAVERSE TABLE. 



67 



I 
a . 

B 

s 
o 
9 


32 Deg. 


324 Deg. 


32i Deg. 


321 Deg. 


P. 

a 
p 

~51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 1 


Lat. 

42.89 


Dep. 


43.25 


27.03 


43.13 


27.21 


43.01 


27.40 i 


27.. 59 


52 


44.10 


27.56 43.98 


27.75 


43.86 


27.94 : 


43.73 


28.13 


52 


53 


44.95 


28.09 144.82 


28.28 


44.70 


28.48 


44.58 


28.67 


53 


54 


45.79 


28.62 i! 


45.67 


28.82 


45.54 


29.01 1 


45.42 


29.21 


54 


55 


46.64 


29.15 


46.51 


29.35 


46.39 


29.55 i 


46.26 


29.75 


55 


56 


47.49 


29.68 i 


47.36 


29.88 


47.23 


30.09 


47.10 


.30.29 


56 


57 


48.34 


30.21 1 


48.21 


30.42 


48.07 


30,63 ! 


47.94 


30.84 


57 


58 


49.19 


30.74 i 


49.05 


30.95 


48.92 


31.16! 


48.78 


31.38 


58 


59 


50.03 


31.27 i 


49.90 


31.48 


49.76 


31.701; 


49.62 


31.92 


59 


60 
61 


50.88 


31.80 ; 


50.74 


32.02 


60.60 


32.24 


50.46 


32.46 


60 
61 


51.73 


32.33; 


51.59 


32.55 


51.45 


32.78 


51.30 


33.00 


6a 


52.58 


32.85 


52.44 


33.08 


52.29 


33.31 1 


52.14 


33.54 


62 


63 


53.43 


33.38 1 


53.28 


33.62 


53.13 


33.85 1 


52.99 


34.08 


63 


64 


54.28 


33.91 i 


54.13 


34.15 


53.98 


34.39 1 


53.83 


34.62 


64 


65 


.55.12 


34.44 


54.97 


34.68 


54.82 


34.92! 


54.67 


35.16 


65 


66 


55.97 


34.97 


55.82 


35.22 


55.66 


35.46 j 


55.51 


35.70 


66 


67 


56.82 


35.50 


56.66 


35.75 


56.51 


36.00 


56.35 


36.25 


67 


68 


57.67 


36.03 


57.51 


36.29 


57.35 


36.54 


57.19 


36.79 


68 


69 58.52 1 


36.56 


58.36 


36.82 


.58.19 


37.07 


58.03 


37.33 


69 


70 1 


.59.36 


37.09 


59.20 


37.35 


59.04 
59.88 


37.61 
38.15 


58.87 


37.87 


70 
71 


71 


60.21 


37.62 


60.05 


37.89 


59.71 


38.41 


72 


61.06 


38.15 1 


60.89 


38.42 


60.72 


38.69 


60.55 


38.95 


72 


73 


61.91 


.38.68 


61.74 


38.95 


61.57 


39.22 


61.40 


39.49 


73 


74 


62.76 


39.21 


62.58 


39.49 


62.41 


39.76 


62.24 


40.03 


74 


75 


63.60 


39.74 


63.43 


40.02 


63.25 


40.30 


63.08 


40.57 


75 


76 


64.45 


40.27 


64.28 


40.55 


64.10 


40.83 


63.92 


41.11 


76 


77 


65.30 


40.80 


65.12 


41.09 


64.94 


41.37 


64.76 


41.65 


77 


78 


66.15 


41.33 


65.97 


41.62 


65.78 


41.91 


65.60 


42.20 


78 


79 


67.00 


41.86 


66.81 


42.16 


66.63 


42.45 


166.44 


42.74 


79 


80 
81 


67.84 


42.39 


67.66 


42.69 


67.47 


42.98 


,67.28 


43.28 
43.82 


80 
81 


68.69 


42.92 


68.50 


43.22 


68.31 


43.52 


i 68.12 


82 


69.54 


43.45 


69.35 


43.76 


69.16 


44.06 


'68.97 


44.36 


82 


83 


70.39 


43.98 


70.20 


44.29 


70.00 


44.60 


169.81 


44.90 


83 


84 


71.24 


44.51 


71.04 


44.82 


70.84 


45.13 


70.65 


45.44 


84 


85 


72.08 


45.04 


71.89 


45.36 


71.69 


45.67 


171.49 


45.98 


85 


86 


72.93 


45.57 


72.73 


45.89 


72.53 


46.21 


72.33 


46.52 


86 


87 


73.78 


46.10 


73.. 58 


46.42 


73.38 


46.75 


1 73.17 


47.06 


87 


88 


74.63 


46.63 


74.42 


46.96 


74.22 


47.28 


74.01 


47.61 


88 


89 


75.48 


47.16 


75.27 


47.49 


75.06 


47.82 


1 74.85 


48.15 


89 


90 
91 


76.32 


47.69 


76.12 


48.03 


75.91 


48.36 


175.69 
1 76.-53 


48.69 


90 
91 


77.17 


48.22 


76.96 


48.56 


76.75 


48.89 


49.23 


92 


78.02 


48.75 


77.81 


49.09 


77.59 


49.43 


77.38 


49.77 


92 


93 


78.87 


49.28 


78.65 


49.63 


78.44 


49.97 


78.22 


50.31 


93 


94 


79.72 


49.81 


79.50 


50.16 


79.28 


50.51 


79.06 


50.85 


94 


95 


80.56 


50.34 


80.34 


50.69 


80.12 


51.04 


79.90 


51.39 


95 


96 


81.41 


50.87 


81.19 


51.23 


80.97 


51.58 


80.74 


51.93 


96 


97 


82.26 


51.40 


82.04 


51.76 


81.81 


52.12 


81.58 


52.47 


97 


98 


: 83.11 


51.93 


82.88 


52.29 


82.65 


52.66 


82.42 


.53.02 


98 


99 


183.96 


52.46 


83.73 


52.83 


83.50 


53.19 


83.26 


53.56 


99 


100 

o 

\1 


1 84.80 


52.99 


84.57 


53.36 


84.. 34 


53.73 


84.10 


54.10 


100 

! 


Dep. 


1 Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


58 Deg. 


571 Deg. 


57i Deg. 


57i Deg. 



R 



68 



TRAVERSE TABLE. 



1 

s 
o 


33 Deg. 


33^ Deg. 


33^ Deg. 


331 Deg, 


1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0.84 


0.54 


0.84 


0.55 


0.83 


0.55 


0.83 


0.56 


1 


2 


1.68 


1.09 


1.67 


1.10 


1.67 


1.10 


1.66 


1.11 


2 


3 


2.52 


1.63 


2.51 


1.64 


2.50 


1.66 


2.49 


1.67 


3 


4 


3.35 


2.18 


3.35 


2.19 


3.34 


2.21 


3.33 


2.22 


4 


5 


4.19 


2.72 


4.18 


2.74 


4.17 


2.76 


4.16 


2.78 


5 


6 


5.03 


3.27 


5.02 


3.29 


5.00 


3.31 


4.99 


3.33 


6 


7 


5.87 


3;8l 


5.S5 


3.84 


5.84 


3.86 


5.82 


3.89 


7 


8 


6.71 


4.36 


6.69 


4.39 


6.67 


4.42 


6.65 


4.44 


8 


9 


7.. 55 


4.90 


7.53 


4.93 


7.50 


4.97 


7.48 


5.00 


9 


10 
11 


8.39 


5.45 


8.36 


5.48 


8.34 


5.52 
6.07 


8.31 


5.. 56 


10 
11 


9.23 


5.99 


9.20 


6.03 


9.. 17 


9.15i 6.11 


12 


10.06 


6.54 


10.04 


6.58 


10.01 


6.62 


9.98 


6.67 


12 


13 


10.90 


7.03 


10.87 


7.13 


10.84 


7.18 


10.81 


7.22 


13 


14 


11.74 


7.62 


11.71 


7.68 


11.67 


7.73 


11.64 


7.78 


14 


lo 


12.58 


8.17 


12.54 


8.22 


12.51 


8.28 


12.47 


8.33 


15 


16 


13.42 


8.71 


13.38 


8.77 


13.34 


8.83 


13.30 


8.89 


16 


17 


14.26 


9.26 


14.22 


9.32 


14.18 


9.38 


14.13 


9.44 


17 


18 


15.10 


9.80 


15.05 


9, 87 


! 15.01 


9.93 


14.97 


10.00 1 18 I 


19 


15.93 


10.35 


15.89 


10.^2 


15.84 


10.49 


15.80 


10.56 1 19! 


20 
21 


16.77 


10.89 
11.44 


16.73 


10 rf?/ 


16.68 


11.04 


16.63 


11.11 


20 


17.61 


17.56 


11.51 


17.51 


11.59 


17.46 


11.67 


21 


22 


18.45 


11.98:1 18.40 


12.06 


18.35 


12.14 


18.29 


12.22 


22 


23 


19.29 


13.53 1 19.23 


12.61 


19.18 j 12.69 


19.12 


12.78 


23 


24 


20.13 


13.07 


20.07 


13.16 


20.01 ! 13.25 


19.96 


13.33 


24 


25 


20.97 


13.62 


20.91 


13.71 


20.85 


13.80 


20.79 


13.89 


25 


2fi 


21.81 


14.16 


21.74 


14.26 


21.68 


14.35 


21.62 


14.44 


26 


27 


22.64 


14.71 


22 . 58 


14. -80 


22.51 


14.90 


22.45 


15.00 


27 


28 


23.48 


15.25 


23.42 


15.35 


23.35 


15.45 


23.28 


15.56 


28 


29 


24.32 


15.79 


24.25 


15.90 


24.18 


16.01 


24.11 


16.11 


29 


30 

31 


25.16 


16.34 


25.09 


16.45 


25.02 


16.56 


24.94 


16.67 


30 
31 


26.00 


16.88 


25.92 


17.00 


25.85 


17.11 


25.78 


17.23 


32 


26.84 


17.43 


26.76 


17.55 


26.68 


17.66 


26.61 


17.78 


32 


33 


27.68 


17.97 


27.60 


18.09 


27.52 


18.21 


27.44 


18.33 


33 


34 


28.51 


18.52 


23.43 


18.64 


28.35 


18.77 


28.27 


18.89 


34 


35 


29.35 


19.06 


29.27 


19.19 


29.19 


19.. 32 


29.10 


19.44 


35 


36 


30.19 


19.61 


.30.11 


19.74 


30.02 


19.87 


29.93 


20.00 


36 


37 


31.03 


20.15 


30.94 


20.29 


30.85 


20.42 


30.76 


20.56 


37 


38 


31.87 


20.70 1 


31.78 


20.84 1 


31.69 


20.97 


31.60 


21.11 


38 


39 


32.71 


21.241 


32.62 


21.38 1 


32,52 


21.53 


33.43 


21.67 


39 


40 
41 


33.55 


21.79 


33.45 


21.93 1 


33.36 
34.19 


22.08 


33.26 22.22 


40 
41 


34.39 


22.33 


34.29 


22.48 


22.63 


34.09 


23.78 


42 


35.22 


22.87 


35.12 


23.03 


35.02 


23.18 ; 


34.92 


23.33 


42 


43 


36.06 


23.42 


35.96 


23.58 


35.83 


23.73 1 


35.75 


23.89 


43 


44 


36.90 


23.96 


36.80 


24.12 


36.69 


24.29 i 


36.58 


24.45 


44 


45 


37.74 


24.51 


37.63 


24.67 


37.52 


24.84 


37.42 


25.00 


45 


46 


38.58 


25.05 


38.47 


25.22 


.38.36 


25.39 1 


38.25 


25.56 


46 


47 


39.42 


25.60 


39.31 


25.77 


39.19 


25.94! 


39.08 


26.11 


47 


48 


40.26 


26.14 


40.14 


26.32 


40.03 


23.49 


39.91 


26.67 


48 


49 


41.09 


26.69 


40.98 


26.87 


40.86 


27.04 


40.74 


27.22 


49 


50 

i 

.2 


41.93 


27.23 


41.81 


27.41 


41.69 


27.60 1 


41.57 


27.78 


50 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


L.t.t 


Dep. 


Lat. 


6 

o 

1 

5 


57 Deg. 


561 Deg. 


56i Deg. 


56\ Deg. 



TilAVliisrfi: TAEL£. 



69 



f- 


33 Deg. 


33^ Deg. 


33i Deg. 


33| Deg. 


s 
9 


D 
o 

CD 

51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


iiep. 


Lat. 


Dep. 


42.77 


27.78 


42.65 


27.96 


42.63 


28.15 


42.40 i 


28.33 1 


51 


52 


43.61 


28.32 


43.49 


28.51 


43.36 


28.70 


43.24 28.89 i 


52 


53 


44.45 


28.87 


44.32 


29.06 


44.20 


29.25 


44.07 


29.45 


53 


54 


45.29 


29.41 


45. i6 


29. 6i 


45.03 


29.80 


44.90 


30.00 


54 


55 


46.13 


29.96 


46.00 


30.18 


45.86 


30.36 


45.73 


.30.56 


55 


56 


46.97 


30.50 


46.83 


30,70 


46.70 


30.91 


46.56 


31.11 


56 


57 


47.80 


31.04 


47.67 


31.25 


47.53 


31.46 


47.39 


31.67 1 


57 


58 


48.64 


31.59 


48.50 


31.80 


48.37 


32.01 


48.23 32.22 


58 


59 


49.48 


32.13 


49.34 


32.35 


49.20 


32.66 


49.06 32.78 


59 • 


60 
61 


50.32 
51.16 


32.68 


50.18 


32.90 


50.03 


33.12 


49.89 j 


33.33 


60 

61 


33.22 


51.01 


33.45 


50.87 


33.67 


50.72 ! 


33.89 


62 


52.00 


33.77 


51.85 


33.99 


51.70 


34.22 


51.55 i 


34.45 


62 


63 


52.84 


34.31 


52.69 


34.54 


52.53 


34.77 


52.38 i 


35.00 


63 


64 


53.67 


34.86 


53.52 


35.09 


53.37 


35.32 


53.21 I 


35.56 


64 


65 


54.51 


35.40 


54.36 


35.64 


54.20 


35.88 ; 


54.05 ! 


36.11 


65 


66 


55.35 


35.95 


55.19 


36.19 


55.04 


36.43 


54.88 i 


36.67 


66 


67 


56.19 


36.49 


56.03 


36.74 


55.87 


36.98 .55.71 ! 


37.22 


67 


68 


57.03 


37.04 


56.87 


37.28 


56.70 


37.53 56.54! 


37.78 


68 


69 


57.87 


37.58 


57.70 


37.83 


57.54 


38.08 ' 57.37 1 


38.33 


69 


70 

71 


58.71 
59.55 


38.12 


58.54 


38.. 38 


58.37 


38.64:^ 58.20 ! 
39.19 ' 59.03 ' 


38.89 


70 


38.67 


59.38 


38.93 


59.21 


39.45 


71 


72 


60.38 


39.21 


60.21 


39.48 1 


60.04 


39.74 59.87 1 


40.00 


72 


73 


61.22 


39.76 


6.1.05 


40.03: 


60.87 


40.29 60.70 j 


40.56 


73 


74 


62.06 


40.30 


61.89 


40.57 


61.71 


40.84 


61.53 1 


41.11 


74 


75 


62.90 


40.85 


62.72 


41.13 


62.. 54 


4i.40 


62.36 1 


41.67 


75 


76 


63.74 


41.39 


63.56 


41.67 


63.38 


41.95 


63.19 


42.22 


76 


77 


64.58 


41.94 


64.39 


42.22 


64.21 


42.50 


64.02 


42.78 


77 


78 


65.42 


42.48 


65 . 23 


42.77 


65.04 


43.05 


64.85 


43.33 


78 


79 


66.25 


43.03 


66.07 


43.32 


65.88 


43.60 


65.69 


43.89 


79 


80 

81 


67.09 
67.93 


43.57 


66.90 


43.86 


66.71 


44.15 


66.52 


44.45 


80 

81 


44.12 


67.74 


44.41 


67.54 


44.71 


67.35 


45.00 


82 


68.77 


44.66 


68.58 


44.96 


68.38 


46.26 


68.18 


45.56 


82 


83 


69.61 


45.20 


69.41 


45.51 


69.21 


45. 8i 


69.01 


46.11 


83 


84 


70.45 


45.75 


70.25 


46.06 


70.05 


46.36 


69.84 


46.67 


84 


85 


71.29 


46.29 


71.08 


46.60 


70.88 


46.91 


70.67 


47.22 


85 


86 


72.13 


46.84 


71.92 


47.15 


71.71 


47.47 


71. 5i 147.78 


86 


87 


72.96 


47.38 


72.76 


47.70 


72.55 


48.02 


72.34 


48.33 


87 


88 


73.80 


47.93 


73.59 


48.25 


73.38; 48.57 


73.17 


48.89 


88 


89 


74.64 


48.47 


74.43 


48.80 


74.22 


49.12 


74.00 


49.45 


89 


90 
91 


75.48 


49.02 


7f,.27 


49.35 


75.05 


49.67 


74.83 


50.00 


90 
91 


76.32 


49.56 


76.10 


49.89 


75.88 


50.23 


75.66 


50.56 


92 


77.16 


50.11 


76.94 


50.44 


76.72 


50.78 


76.50 


51.11 


92 


93 


78.00 


.50.65 


77.77 


50.99 


77.55 


51.33 


77.33 


51.67 


93 


94 


78,83 


51.20 


78.61 


51.54 


78.39 


51.88 


78.16 


52.22 


94 


95 


79,67 


51.74 


79.45 


52.09 


79.22 


52.43 


78.99 


52.78 


95 


96 


80.51 


52.29 


80.28 


52.64 


80.05 


52.99 


79.82 


53.33 


96 


97 


81.35 


52.83 


81.12 


53.18 


80.89 


53.54 


80.65 


53.89 


97 


98 


82.19 


53.37 


81.96 


53.73 


81.72 


54.09 


81.48 


54.45 


98 


99 


83.03 


53.92 


82.79 


54.28 


82.55 


54.64 


82.32 


55.00 


99 


100 


83.87 


54.46 


83.63 


.54.83 


83.39 


55.19 


83.15 


55 . 56 


100 

o 

a 

Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep 


Lat. 


57 Deg. 


561 Deg. 


561 Deg. 


56i Deg, 



70 



TBAVEBSE TABLE. 







ii 


" 1! 

1 34^ Deg. ji 34| Deg. 






i 


34 Deg. |f 34i Deg. 


5 




Lat. 


Dep. !^ Lat. j Dep. 

;' 1 


Lat. j Dep. 


i Lat. Dep. 




1 


0.83 


0.56: 0.83 0.56 


: 0.82 i 0.57 i 0.82 1 0.57 


1 




2 


1.66 


1.12 i 1.65 1.13 


! 1.65 1.13,! 1^64 1,14 


2 




3 


2.49 


1.68 i| 2.48 1.69 


' 2.47 1.70 2.46 1.71 


3 




4 


3.32 


2.24;; 3.31 j 2.25 


! 3.30 2.27 3.29 2.28 


4 




5 


4.15 


2.80: 4.13 1 2.81 


4.12 1 2.83 1 4.11; 2.85 


5 




6 


4.97 


3.36 ■ 4.96! 3.38 


4.94 1 3.40 i| 4.93 1 3.42 


6 




7 


5.80 


3.91 ,; 5.79; 3.94 


5.77 i 3.96 !l 5.75! 3.99 


7 




8 


6.63 


4.47 !i 6.61 


4.50 


6.59 I 4.53 ii 6.57 i 4.56 


8 




9 


7.46 


5.03;; 7.44 


5.07 


7.42 i 5.10 11 7.39! 5.13 


9 




10 
11 


8.29 


5.59 


; 8.27 


5.63 


1 8.24 1 5.66 !j 8.22 


! 5.70 
i 6.27 


10 
11 




9.12 


6.15 


'■ 9.09! 6.19 


! 9.07 i 6.23 9.04 




12 


9.95 


6.71 ! 9.92 


6.75 


! 9.89 . 6.80 ' 9.86 ; 6.84 


12 




13 


10.78 


7.27 1 10.75 


7.32 


1 10.71 i 7.36 10.68 | 7.41 


13 




14 


11.61 


7.83 1 11.57 


7.88 


j 11.54 i 7.93 11. .50 i 7.98 


14 




15 


12.44 


8.39 : 12.40 1 8.44 


112.36 


8.50:12.32 8.55 


15 




16 


13.26 


8.95 13.23 i 9.00 


i 13.19 


9.06 ' 13.15 9.12 


16 




17 


14.09 


9.51 1 14.05 1 9.57 


14.01 


9.63! 13.97 9.69 


17 




18 


14.92 


10.07 14.88 110.13 


i 14.83 


10.20 14.79 ; 10.26 


18 




19 


15.75 


10.62 15.71110.69 


: 15.66 


10.76 15.61110.83 


19 




20 


16.53 


11. IS 


16.531 11.26 
17.36 1 11.82 


16.43 


11.33 


16.43 
17.25 


' 11.40 


20 




21 


17.41 


11.74 


17.31 1 11.89 


: 11.97 


21 




22 ! 18.24 


12.30 18.18 i 12.38 


18.13 112.46 18.08! 12.54 


22 




23 i 19.07 


12.86 19.01 12.94 


18.95! 13.03 18.90 113.11 


23 




24 


19.90 


13.42 


i 19.84; 13.51 , 


19.78 1 13.59 


19.72 ! 13.68 


24 




25 


20.73 


13.98 


1 20.66; 14.07 i 


20.60 1 14.16 


20.. 54 I 14.25 


25 




26 


21.55 


14.54 


121.49 14.63 


21.43 1 14.73 


21.36 i 14.82 


26 




27 


22.38 


15.10 


122.32 ! 15.20 


22.25 i 15.29 


22.18 1 15.39 


27 




28 


23.21 


15 66 


123.14 15.76 


23. OS j 15.86 


23.01 i 15.96 


28 




29 


24.04 


16.22 


1 23.97: 16.32 


23.90 1 16.43 


23.83 1 16.53 


29 




30 


24.87 


16.78 


: 24.80! 16.88 : 
'25.62' 17.45 


24.72 1 16.99 


24.65 ! 17.10 


30 




31 


25.70 


17.33 


25 . 55 


17.56 


25.47 ! 17.67 


31 




32 


26.53 


17.89 


26.45 13.01 


26.37 


18.12 


26.29 j 18.24 


32 




33 


27.36 


18.45 


27.28 1 18.57: 


27.20 


18.69 


27.11 18.81 


33 




34 


28.19 


19.01 


,28.10.; 19.14; 


28.02 


19.26 


! 27.94 19.33 


34 




35 


29.02 


19.57 


28.93! 19.70 : 


28.84 


19.82 


28.76 19.95 


35 




36 


29.85 


20.13 


29.76 i 20.26 


29.67 


20.39 


; 29.58 20.. 52 


36 




37 


30.67 


20.69 


30.58; 20.82 


30.49 


20.96 


30.40 21.09 


37 




38 


31.50 


21.25 , 


31.41 21.39 


31.32 


21.52 


31.22 21.66 


38 




39 32.33 1 


21.81 


32.24 21.95! 


32.14 


22.09 


32.04 i 22.23 


39 




40 33.16' 


22.37 ' 


33.06 22.51 1 
33.89 23.07 1 


32.97 1 22.66 


32.87 
33.69 


22.80 


40 




41 i 33.99 


22.93 : 


33.79 i 23.22 i 


23.37 


41 




42 j 34.82 


23.49 


34.72 23.64! 


34.61 j 23.79! 


34.51 ; 23.94 1 


42 




43 35.65 


24.05 


35.54 24.20 1 


35.44 


24.36 


35.33 124.51 


43 




44 


36.48 


24.60 , 


36.37 24.70! 


36.26 


24.92 


36.15 125.08 


44 




45 


37.31 


25.16 


37 . 20 25 . 33 : 


37.09 


25.49 


36.97 125.65 


45 




46 


38.14 


25.72 


38.02 25.89 j 


37.91 


26.05 


37.80 i 26.22 


46 




47 


38.96 


26.28 


38.85 26.45 1 


38.73 


26.62 


38.62 ! 26.79 


47 




48 


39.79 


26.84 


39.68 27.01 i 


39.56 


27.19 i 


39.44 


27.36 


48 




49 


40.62 


27.40 


40. .50 27.58) 


40.38 


27.75! 


40.26 


27.93 


49 




50 


41.45 


27.96 


41.33 28.14 1 


41.21 


28.32 


41.08 


28.50 


50 






Dep. 


Lat. 1 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


c 

s 

.2 




1 


56 1 


)eg. 


55| Deg. 


55^ Deg. 


5.3i Deg. 





TRAVERSE TABLE. 



71 



o 

GD 

3 
? 

51 


34 Deg. 


34i Deg. 


34A Deg. 


34^ Deg. 


1 

? 

51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


42.28 


28.. 52 


42.16 


28.70 


42.03 


28.89 


41.90 


29.07 


52 


43.11 


29.08 


42.98 


29.27 


42.85 


29.45 


42.73 


29.64 


52 


53 


43.94 


29.64 


43.81 


29.83 i 43.68 1 


30.02 


43.55 


30.21 


63 


54 44.77 


30.20 


44.64 


30.39 


44.50 


30.59 


44.37 


30.78 


64 


55 


45.60 


30.76 


45.46 


30.95 


45.33 


31.15 


45.19 


31.35 


55 


56 


46.43 


31.31 


46.29 


31.52 


46.15 


31.72 


46.01 


31.92 


56 


57 


47.26 


31.87 


47.12 


32.08 


46.98 


32.29 


46.83 


32.49 


57 


58 


48.08 


32.43 


47.94 


32.64 


47.80 


32.85 


47.66 


33.06 


58 


59 


48.91 


32.99 


48.77 


33.21 


48.62 


33.42 


48.48 


33.63 


59 


60 
61 


49.74 


33.55 


49.60 


33.77 


49.45 


33.98 


49.30 


34.20 


60 
61 


50.57 


34.11 


50.42 


34.33 


50.27 


34.55 


50.12 


34.77 


62 


51.40 


34.67 


51.25 


34.89 


51.10 


35.12 


50.94 


35.34 


62 


63 


.52.23 


35.23 


52.08 


.35.46 


51.92 


35.68 


51.76 


35.91 


63 


64 


53.06 


35.79 


52.90 


36.02 


52.74 


36.25 


52.59 


36.48 


64 


65 


53.89 


36.35 


53.73 


36.58 


53.57 


36.82 


.53.41 


37.05 


65 


66 


54.72 


36.91 


54.55 


37.15 


54.39 


37.38 


54.23 


37.62 


66 


67 


55 . 55 


37.46 


.55.38 


37.71 


55.22 


37.95 


55.06 


38.19 


67 


68 


56.37 


38.03 


56.21 


38.27 


56.04 


38.52 


55.87 


38.76 


68 


69 


57.20 


38.58 


57.03 


38.83 


56.86 


39.08 


56.69 


39.33 


69 


_70 
71 


.58.03 
58.86 


39.14 


57.86 
58.69 


39.40 
39.96 


57.69 


39.65 


57.52 

58.34 


39.90 
40.47 


70 
71 


39.70 


58.51 


40.21 


72 


59.69 


40.26 


59.51 


40.. 52 


59.34 


40.78 


59.16 


41.04 


72 


73 


60.52 


40.82 


60.34 


41.08 


60.16 


41.35 


59.98 


41.61 


73 


74 


61.35 


41.38 


61.17 


41.65 


60.99 


41.91 


60.80 


42.18 


74 


75 


62.18 


41.94 


61.99 


42.21 


61.81 


42.48 


61.62 


42.75 


75 


76 i 63.01 142.50 1 


62.82 


42.77 


62.63 


43.05 


62.45 


43.32 


76 


77 


63.84 


43.06 


63.65 


43.34 


63.46 


43.61 


63.27 


43.89 


77 


78 


64.66 


43.62 


64.47 


43.90 


64.28 


44.18 


64.09 


44.46 


78 


79 


65.49 


44.18 


65.30 


44.46 


65.11 


44.75 


64.91 


45.03 


79 


80 


66.32 


44.74 


66.13 


45.02 
45.59 


65.93 


45.31 


65.73 


45.60 


80 
81 


81 


67.15 


45.29 


66.95 


66 . 75 


45.88 


66.55 


46.17 


82 167.98 


45.85 


67.78 


46.15 


67.58 


46.45 


67.37 


46.74 


82 


83 


68.81 


46.41 


68.61 


46.71 


68.40 


47.01 


68.20 


47.31 


83 


84 


69.64 


46.97 


69.43 


47.28 


69.23 


47.58 


69.02 


47.88 


84 


85 


70.47 


4 7.. 53 


70.26 


47.84 


70.05 


48.14 


69.84 


48.45 


85 


86 


71.30 148.09 


71.09 


48.40 


70.87 


48.71 


70.66 


49.02 


86 


87 


72.13 148.65 


71.91 


48.96 


71.70 


49.28 


71.48 


49.59 


87 


88 


72.96 


49.21 


72.74 


49.53 


72.52 


49.84 


72.30 


50.16 


88 


89 


73.78 


49.77 


73.57 


50.09 


73.35 


.50.41 


1 73.13 


50.73 


89 


90 
91 


74.61 


50.33 


74.39 


50.65 


74.17 


50.98 


73.95 


51.30 


90 
91 


75.44 


50.89 


75.22 


51.22 


75.00 


51.54 


74.77 


51.87 


92 


76.27 


51.45 


76.05 


51.78 


75.82 


52.11 


75.59 


52.44 


92 


93 


77.10 


52.00 


76.87 


52.34 


76.64 


52.68 


1 76.41 


53.01 


93 


94 


77.93 


52.56 


77.70 


52.90 


77.47 


53.24 


77.23 


53.58 


94 


95 


78.76 


53.12 


78,53 


53.47 


78.29 


53.81 


78.06 


54.15 


9n 


96 


79.59 


53.68 


79.35 


54.03 


79.12 


54.37 


78.88 


54.72 


96 


97 


80.42 


54.24 


80.18 


54.59 


79.94 


54.94 


79.70 


55.29 


97 


98 


81.25 


54.80 


81.01 


.55.15 


80.76 


55.51 


80.52 


55.86 


98 


99 


82.07 


55.36 


81.83 


55.72 


81.59 


56.07 


81.. 34 


56.43 


99 


lOO 

o3 
o 
c: 

CD 

Q 


82.90 


55.92 


82.66 


56.28 


82.41 


56.64 


82.16 


57.00 


100 

§ 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


56 Deg. 


55| Deg. 


55i Deg. 


55i Deg. 



72 



TRAVERSE TABLE. 



9 


35 Deg. 


35i Deg. 


35i Deg. 


35| Deg. 


o 


Lat. 


Dep. 


Lat. 
0.82 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.82 


0.57 


0.58 


0.81 


0.58 


0.81 


0.58 


1 


2 


1.64 


1.15 


1.63 


1.15 


1.63 


1.16 


1.62 


1.17 


2 


3 


2.46 


1.72 


2.45 


1.73 


2.44 


1.74 


2.43 


1.75 


3 


4 


3.28 2.29 


3.27 


2.31 


3.26 


2.32 


3.25 


2.34 


4 


5 


4.10! 2.87 


4.08 


2.89 


4.07 


2.90 


4.06 


2.92 


5 


6 


4.91 ; 3.44 


4.90 


3.46 


4.88 


3.48 


4.87 


3.51 


6 


7 


5.73 i 4.01 


5.72 


4.04 


5.70 


4.06 


6.68 


4.09 


7 


8 


6.55 1 4.59 


6.53 


4.62 


6.51 


4.65 


6.49 


4.67 


8 


9 


7.37 


5.16 


7.35 


5.19 


7.33 


5.23 


7.30 


5.26 


9 


10 
11 


8.19 


5.74 


8.17 


5.77 


8.14 


5.81 


8.12 


5.84 


10 


9.01 


6.31 


8.98 


6.35 


8.96 


6.39 


8.93 


6.43 


11 


12 


9.83 


6.88 


9.80 


6.93 


9.77 


6.97 


9.74 


7.01 


12 


13 


10.65 


7.46 


10.62 


7.50 


10.. 58 


7.55 


10.55 


7.60 


13 


14 


11.47 


8.03 


11.43 


8.08 


11.40 


8.13 


11.36 


8.18 


14 


15 


12.29 


8.60 


12.25 


8.66 


12.21 


8.71 


12.17 


8.76 


15 


16 


13.11 


9.18 


13.07 


9.23 


13.03 


9.29 


12.99 


9.35 


16 


17 


13.93 


9.75 


13.88 


9.81 


13.84 


9.87 


13.80 


9.93 


17 


18 


14.74 


10.32 


14.70 


10.39 


14.65 


10.45 


14.61 


10.52 


18 


19 


15.56 


10.90 


15.52 


10.97 


15.47 


11.03 


15.42 


11.10 


19 


20 
21 


16.38 
17.20 


11.47 


16.33 


11.54 


16.28 


11.61 


16.23 


11.68 


20 


12.05 


17.15 


12.12 


17.10 


12.19 


17.04 


12.27 


21 


22 


18.02 


12.62 


17.97 


12.70 


17.01 


12.78 


17.85 


12.85 


22 


23 


18.84 


13.19 


18.78 


13.27 


18.72 


13.36 


18.67 


13.44 


23 


24 


19.66 


13.77 


19.60 


13.85 1 


19.54 


13.94'' 19.48 


14.02 


24 


25 


20.48 


14.34 


20.42 


14.43 


20.35 


14.52 20.29 


14.61 


25 


26 


21.30 


14.91 


21.23 


15.01 1 


21.17 


15.10 21.10 


15.19 


26 


27 


22.12 


15.49 


22.05 


15.58 1 


■21.98 


15.68 : 21.91 


15.77 


27 


28 


22.94 


16.06 


23.87 


16.16 


22.80 


16.26 22.72 


16.36 


28 


29 


23.76 


16.63 


23.68 


16.74 


23.61 


16.84^23.54 


16.94 


29 


30 


24.57 


17.21 


24.50 


17.31 


24.42 


17.42 24.35 


17.53 


30 


31 


25.39 


17. 7S 


25 . 32 


17.89 


25.24 


18.00 25.16 


18.11 


31 


32 


26.21 


18.35 


26.13 


18.47 


26.05 


18.58 , 25.97 


18.70 


33 


33 


27.03 


18.93 


26.95 


19.05 


26.87 


19.16 '26.78 


19.28 


33 


34 


27.85 


19.50 


27.77 


]9.62 


27.68 


19.74! 27.59 


19.86 


34 


35 


28.67 


20.08 


28.58 


20.20 


28.49 


20.32 


,28.41 


20.45 


35 


36 


29.49 


20.65 


29.40 


20.78 


29.31 


20.91 


129.22 


21.03 


36 


37 


30.31 


21.22 


.30.22 


21.35 


30.12 


21.49 


130.03 


21.62 


37 


38 


31.13 


21.80 


31.03 


21.93 


30.94 


22.07 


i 30.84 


22.20 


38 


39 


31.95 


22.37 


31.85 


22.51 


31.75 


22.65 


j 31.65 


22.79 


39 


40 


32.77 


22.94 


32.67 


23.09 


32.56 


23.23 


j 32.46 
33.27 


23.37 


40 


41 


33.59 


23.52 


33.48 


23.66 


33.38 


23.81 


23.95 


41 


42 


34.40 


24.09 


34.30 


24.24 


34.19 


24.39 134.09 


24.54 


42 


43 


35.22 


24.66 


35.12 


24.82 


35.01 


24.97 1 34.90 
25.55 |!35.71 


25.12 


43 


44 


36.04 


25.24 


35.93 


25.39 


35.82 


25.71 


44 


45 


36.86 


25.81 


36.75 


25.97 


36.64 


26.13 


i 36.52 


26.29 


45 


46 


37.68 


26.38 


37.57 


26.55 


37.45 


26.71 


37.33 


26.88 


46 


47 


38.50 


26.96 


38.38 


27.13 


38.26 


27.29 


38.14 


27.46 


47 


48 


39.32 


27.53 


39.20 


27.70 


.39.08 


27.87 


38.96 


28.04 


48 


49 


40.14 


28.11 


40.02 


28.28 


39.89 


28.45 


39.77 


28.63 


49 


50 


40.96 


28.68 


40.83 


28.86 


40.71 


29.04 


40.58 


29.21 


50 


to 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


6 
o 
c 
S 

.22 

Q 


55 Deg. 


541 Deg. 


54^ 


Deg. 


54i Deg. 



TRAVERSE TABLE. 



73 



5 

p 
s 

p 

51 


35 Deg. 


35i Deg. 


35i Deg. 


35| Deg. 


o 

CD 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


41.78 


29.25 


41.65 


29.43 


41.52 


29.62 


41.39 


29.80 


51 


52 


42.60 


29.83 


42.47 


30.01 


42.33 


30.20 


42.20 


30.38 


52 


53 


43.42 


30.40 


43.28 


30.59 


43.15 


30.78 


43.01 


30.97 


53 


54 


44.23 


30.97 


44.10 


31.17 


43.96 


31.36 


43.82 


31.55 


54 


55 


45.05 


31.55 


44.92 


31.74 


44.78 


31.94 


44.64 


32.13 


55 


56 


45.87 


32.12 


45.73 


32.32 


145.59 


32.52 


45.45 


32.72 


56 


57 


46.69 


32.69 


46.55 


32.90 


46.40 


33.10 


46.26 


33.30 


57 


58 


47.51 


33.27 


47.37 


33.47 


47.22 


33.68 


i 47.07 


33.89 


58 


59 


48.33 


33.84 


48.18 


34.05 


48.03 


34.26 


47.88 


34.47 


59 


60 
61 


49.15 


.34.41 


49.00 


34.63 


48.85 


34.84 


: 48 . 69 


35.05 


60 


49.97 


34.99 


49.82 


35.21 


49.66 


35.42 


49.51 


35.64 


61 


62 


50.79 


35.56 


50.63 


35.78 


.50.48 


36.00 : 50.32 


38.22 


62 


63 


51.61 


.36.14 


51.45 


36.36 


51.29 


36.58 


51.13 


36.81 


63 


64 


52.43 


36.71 


52.27 


36.94 


52.10 


37.16 


51.94 


37.39 


64 


65 


53.24 


37.28 


53.08 


37.51 


152.92 


37.75 52.75 


37.98 


65 


66 


54.06 


37.86 


53.90 


38.09 


53.73 


,38.. 33 ,53.56 


38.56 


66 


67 


54.88 


38.43 


.54.71 


38.67 


54.55 


38.91 54.38 


39.14 


67 


68 


55.70 


39.00 


55.53 


39.^5 


55.36 


39.49 55.19 


39.73 


68 


69 


56.52 


39.58 


56.35 


39.82 


56.17 


40.07 56.00 


40.31 


69 


70 
71 


57.34 


40.15 


57.16 


40.40 


56.99 


40.65 56.81 


40.90 


70 
71 


58.16 


40.72 


57.98 


40.98 


57.80 


41.23 57.62 


41.48 


72 


58.98 


41.30 


58.80 


41., 55 


58.62 


41.81 .58.43 


42.07 


72 


73 


.59.80 


41.87 


.59.61 


42.13 


1 59.43 


42.39 59.24 


42.65 


73 


74 


60.63 


42.44 


60.43 


42.71 


60.24 


42.97 60.06 


43.23 


74 


75 


61.44 


43.02 


61.25 


43.29 


61.06 


43.55 60.87 


43.82 1 75 j 


76 


62.26 


43.59 


62.06 


43.86 


61.87 


44.13 


61.68 


44.40 ' 76 


77 


63.07 


44.17 


62.88 


44.44 


62.69 


44.71 


62.49 


44.99, 77 1 


78 


63.89 


44.74 


63.70 


45.02 


63.50 


45.29 


63.30 


45.57 


78 


79 


64.71 


45.31 


64.51 


45.59 


64.32 


45.88 


64.11 


46.16 


79 


80 
81 


65.. 53 


45.89 


65.33 
66.15 


46.17 
46.75 


65.13 


46.46 


64.93 
65.74 


46.74 


80 
81 


66.35 


46.46 


65.94 


47.04 


47.32 


82 


67.17 


47.03 


66.96 


47.33 


66.76 


47.62 


66.55 


47.91 


82 


83 


67.99 


47.61 


67.78 


47.90 


67.57 


48.20 


67.36 


48.49 


83 


84 


68.81 


48.18 


68.60 


48.48 


68.39 


48.78 


68.17 


49.08 


84 


85 


69.63 


48.75 


69.41 


49.06 


69.20 


49.36 


68.98 


49.66 


85 


86 


70.45 


49.33 


70.23 


49.63 


70.01 


49.94: 


69.80 


50.25 


86 


87 


71.27 


49.90 


71.05 


.50.21 


70.83 


50.. 52 


70.61 


50.83 


87 


88 


72.09 


50.47 


171.86 


50.79 


71.64 


51.10; 


71.42 


51.41 
5^.00 


88 


89 


72.90 


51.05 


1 72.68 


51.37 


72.46 


51.68 


72.23 


89 


90 
91 


73.72 


51.62 


i 73.-50 


51.94 


73.27 


52. 2G 


73.04 


.52.58 


90 


74.54 


52.20 


74.31 


52.52 


74.08 


,52.84 


73.85 53.17 


91 


92 


75.36 


52.77 


75.13 


53.10 


74.90 


53.42 


74.66 


53.75 


92 


93 


76.18 


.53.34 


75.95 


53.67 


75.71 


54.01 


75.48 


54.34 


93 


94 


77.00 


53 . 92 


76.76 


54.25 


76.. 53 


54., 59 ' 


76.29 


54.92 


94 


95 


77.82 


54.49 


77.58 


54.83 


77.34 


55.17! 


77.10 


55.50 


95 


96 


78.64 


55.06 


78.40 


,55.41 


78.16 


55.75 


77.91 


56.09 


96 


97 


79.46 


55.64 


79.21 


55.98 


78.97 


56.33 


78.72 


56.67 


97 


98 


80.28 


56.21 


80.03 


56.. 56 


79.78 


56.91 ; 


79.53 


57.26 


98 


99 


81.10 


56.78 


80.85 


57.14 


80.60 


57.49 ; 


80.35 


57.84 


99 


100 

i 

.2 

Q 


81.92 


.57.36 


81.66 


57.71 


81.41 


58.07 


81.16 


58.42 


100 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 




55] 


Deg. 


541 Deg. 


54i Deg. 

1 


54i Deg. 



C y. D»a:. 



"iroi *:^ 

3F l.fiS I.L^ 



JitEte?. 



LoiL. Bteg^ ' Li^ ■ Dep, 



L.SI 

3.23; 

4.13 



3bfDeff. 



1.:- 

L.T" 
2.S7 

3.3a 

4.14 
4.T3 
3.33 
5.SL 



4.«S 

4.e 

i.S3 

5.«4 



I.I* 

LIS 
3.38 
S.ST 

3.3? 

5.9& 



f»:t DesT- 



La.^ EXepv 



S.« 

3.a» 

4.9II 



(S.^li 



i.aifi 

3.39 1 



Of* ? . i" 



21 14. 3*^ Ii.34r 

32 :~ -■• :• -^ 

23 



at 

25 

as 






i.It) 



7.17 
7.r .- 

5.^ 



«.<?4' f.5f' 



<-ai 

^^ tI 

43. 



^.5* 



-TS . 13 



Mr 



*? 12 --t:- 



ii.J-i' l^.^li 



L.<L I*. 55; 31 
^~4 19.15; 32 



41 ^.17 24. D> m,<)*J 24. 

42 53 7*^ 24 "55? ?t? ^"^ 24 



!5 24.53 ! 41 



LiL 



D^. ! Lar-^ | IVc 



:3l 



S& 



55^ Dear. 5 



TEAVERSE TABLE. 



75 



2 

{3 
P 

51 


36 Deg. 


364 Deg. 


36i Deg. 


361 Deg. 


D 
5- 

o 

? 

~51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lai. 


Dep. 


41.26 


29.98 


41.13 


30.16 


41.00 


30.34 


40.86 


30.51 


52 


42.07 


30.56 


41.94 


30.75 


41.80 


30.93 


41.67 


31.11 


52 


53 


42.88 


31.15 


42.74 


31.34 


42.60 


31.63 


42.47 


31.71 


53 


54 


43.69 


31.74 


43.55 


31.93 


43.41 


32.12 


43.27 


32.31 


54 


55 


44.50 


32.33 


44.35 


32.52 


44.21 


32.72 


44.07 


32.91 


66 


56 


45.30 


32.92 


45.16 


33.11 


45.02 


33.31 


44.87 


33.51 


56 


57 


46.11 


33.50 


45.97 


33.70 


45.82 


33.90 


45.67 


34.10 


57 


58 


46.92 


34.09 


46.77 


34.30 


46.62 


34.50 


46.47 


34.70 


58 


69 


47.73 


34.68 


47.58 


34.89 


47.43 


35 09 


47.27 


35.30 


69 


60 
61 


48.54 


35.27 


48.39 


35.48 


48.23 


36.69 


48.08 
48.88 


35.90 


60 
61 


49.35 


35.85 


49.19 


36.07 


49.04 


36.28 


36.50 


62 


50.16 


36.44 


50.00 


36.66 


49.84 


36.88 


49.68 


37.10 


62 


63 


.50.97 


37.03 


150.81 


37.25 


50.64 


37.47 


50.48 


37.69 


63 


64 


51.78 


37.62 


51.61 


37.84 


51.45 


38.07 


51.28 


38.29 


64 


65 


52.59 


38.21 


52.42 


38.44 


52.25 


38.66 


52.08 


38.89 


65 


66 


53.40 


38.79 


1 53.23 


39.03 


53.05 


39.26 


52.88 


39.49 


66 


67 


54.20 


39.38 54.03 


39.62 


53.86 


39.85 


53.68 


40.09 


67 


68 


55.01 


39.97 ! 54.84 


40.21 


54.66 


40.45:154.49 


40.69 


68 


69 


55.82 


40.56 ! 55.64 


40.80 


55.47 


41.04 155.29 


41.28 


69 


70 

71 


56.63 


41.14 : 56.45 


41.39 


56.27 


41.64 


i 56.09 
56.89 


41.88 


70 

71 


57.44 


41.73 57.26 


41.98 


57.07 


42.23 


42.48 


72 


58.25 


42.32 58.06 


42. 5» 


57.88 


42.83 ;i 57.69 


43.08 


72 


73 


59.06 


42.91 .58.87 


43.17 


.58.68 


43.42 58.49 


43.68 


73 


74 


59.87 


43.50 |, 59.68 


43.76 


59.49 


44.02 59.29 


44.28 


74 


75 


60.68 


44.08 


60.48 


44.35 


60.29 


44.61 


60.09 


44.87 


75 


76 


61.49 


44.67 


61.29 


44.94 


61.09 


45.21 


60.90 


45.47 


76 


77 


62.29 


45.26 


62.10 


45.53 


61.90 


45.80 


61.70 


46.07 


77 


78 


63.10 


45.85 


62.90 


46.12 


62.70 


46.40 


62.50 


46.67 


78 


79 


63.91 


46.43 


63.71 


46.71 


63.. 50 


46.99 


63.30 


47.27 


79 


80 
81 


64.72 


47.02 


64.52 


47.30 


64.31 


47.59 


64.10 


47.87 


80 
81 


65.53 


47.61 


65.32 


47.90 


65.11 


48.18 


64.90 


48.46 


82 


66.34 


48.20 


66.13 


48.49 


65.92 


48.78 


65.70 


49.06 


82 


83 


67.15 


48.79 


66.93 


49.08 


66 . 72 


49.37 


66.50 


49.66 


83 


\ 84 


67.96 


49.37 


67.74 


49.67 


67.52 


49.97 


67.3] 


50.26 


84 


' 85 


68.77 


49.96 


68.55 


50.26 


68.33 


50.56 


68.11 


50.86 


85 


86 


69.. 58 


50.55 


69.35 


50.85 


69.13 


51.15 


68.91 


51.46 


86 


87 


70.38 


51.14 


70.16 


51.44 


69.94 


51.75 69.71 1 


52.05 


87 


88 


71.19 


51.73 


70.97 


52.04 


70.74 


52.34 


70.51 1 


52.65 


88 


89 


72.00 


52.31 


71.77 


52.63 


71.54 


52.94 


71.31 


53 . 25 


89 


90 
91 


72.81 


52.90 


72.58 


53.22 


72.35 


53.53 


72.11 


53.85 


90 
91 


73.62 53.49 1 


73.39 


53.81 


73.15 


54.13 


72.91 


54.45 


92 


74.43 


54.08 


74.19 


54.40 


73.95 


54,72 


73 . 72 


55.05 


92 


93 


75.24 


54.66 


75.00 


54.99 


74.76 


55.32 


74.. 52 


55.64 


93 


94 


76.05 


55.25 


75.81 


55.58 


75.56 


.55.91 


75.32 


56.24 


94 


95 


76.86 


55.84 


76.61 


56.17 


76.37 


56.51 


76.12 


56.84 


95 


96 


77.67 


56.43 


77.42 


56.77 


77.17 


57.10 


76.92 


57.44 


96 


97 


78.47 


57.02 


78.23 


57.36 


77.97 


57.70 


77.72 


58.04 


97 


98 


79.28 


57.60 


79.03 


57.95 


78.78 


58.29 


78.. 52 


58.64 


98 


99 80.09 


58.19 


79.84 


58.54 


79.58 


58.89 


79.32 


59.23 


99 


100 

i 

a 
S 

tn 


80.90 


58.78 


80.64 


59.13 
Lat, 


80.39 


59.48 


80.13 


59.83 


100 


Dep. 


Lat. 


Dep. 


Dep. 


Lat. 


Dep 


Lat. 


54 Deg. 


531 Deg. 


634 Deg 


53i Deg, 



76 



TRAVERSE TABLE 



o 

s 
o 

CO 

1 


\ 

37 Deg. 


m Deg. 


37iDeg. 


37 f Deg, 


1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat, 


Dep. 


0.80 


0.60 1 


0.80 


0.61 


0.79 


0.61 


0.79 


0.61 


1 


2 


1.60 


1.20 


1.59 


1.21 


1.59 


1.33 


1.58 


1.23 


2 


3 


2.40 


1.81 


2.39 


1.82 


2.38 


1.83 


2.37 


1.84 


3 


4 


3.19 


2.41 


3.18 


2.43 


3.17 


2.43 


3.16 


3.45 


4 


6 


3.99 


3.01 


3.98 


3.03 


3.97 


3.04 


3.95 


3.06 


5 


6 


4.79 


3.61 


4.78 


3.63 


4.76 


3.65 


4.74 


3.67 


6 


7 


5.59 


4.21 


5.57 


4.34 


5.. 55 


4.36 


5.53 


4.39 


7 


8 


6.39 


4.81 


6.37 


4.84 


6.35 


4.87 


• 6.33 


4.90 


8 


9 


7.19 


5.42 


7.16 


5.45 


7.14 


5.48 


7.12 


5.51 


9 


10 

li 


7.99 


6.02 


7.96 


6.05 


7.93 


6.09 


7.91 


6.12 


10 
11 


8.78 


6.62 


8.76 


8.66 


8.73 


6.70 


8.70 


6.73 


13 


9.58 


7.32 


9.55 


7.36 


9.52 


7.31 


9.49 


7.35 


12 


13 


10.38 


7.83 


10.35 


7.87 


10.31 


7.91 


10.28 


7.96 


13 


14 


11.18 


8.43 


11.14 


8.47 


11.11 


8.. 53 


11.07 


8.57 


14 


15 


11.98 


9.03 


11.94 


9.08 


11.90 


9.13 


11.86 


9.18 


15 


16 


12.78 


9.63 1 


12.74 


9.68 


12.69 


9.74 


12.65 


9.80 


16 


17 


13.58 


10.33 


13.53 


10.29 


13.49 


10.35 


13.44 


10.41 


17 


18 


14.33 


10.83 1 


14.33 


10.90 


14.28 


10.96 


14.23 


11.02 


18 


19 


15.17 


11.43! 


15.12 


11. .50 


15.07 


11.57 1 


15.02 


11.63 


19 


20 
31 


15.97 


12.04 


15.92 


12.11 


15.87 
16.68 


13.18 ! 


15.81 


12.24 


20 


16.77 


12.64 


16.73 


13.71 


13.78 1 


16.60 


12.86 


21 


22 


17.57 


13.24 


17.51 


13.33 


17.45 


13.39 


17.40 


13.47 


22 


23 


18.37 


13.84 1 


18.31 


13.93 


18.35 


14.00 


18.19 


14.08 


33 


24 


19.17 


14.44, 


19.10 


14.53 


19.04 


14.61 


18.98 


14.69 


34 


35 


19.97 


15.05 


19.90 


15.13 


19.83 


15.33 


19.77 


15,31 


35 


26 


20.76 


15.65 


20.70 


15.74 


30.63 


15.83 


20.56 


15.92 


26 


27 


31.56 


16.25 


21.49 


16.-34 


31.43 


16.44 


21.35 


16.53 


27 


28 


22.36 


16.85 


33.39 


16.95 


-32.21 


17.05 


33.14 


17.14 


28 


39 


23.16 


17.45 


33.08 


17.55 


23.01 


17.65 


33.93 


17.75 


29 


30 

"31 


33.96 
24.76 


18.05 


23.88 


18.16 
18.76 


33.80 


18.26 


33.73 


18.37 


30 

31 


18.06 


24.68 


24.59 


18.87 


34.51 j 18.98 


32 


25.56 


19.26 


25.47 


19.37 


25.39 


19.48 


35.30 


19.59 


32 


33 


26.35 


19. 8G 


26.27 


19.97 


26.18 


20.09 


36.09 


20.20 


33 


34 


27.15 


20.46 


27.06 


30.53 


26.97 


20.70 


36.88 


30.82 


34 


35 


27.95 


21.06 


27.86 


31.19 


37.77 


21.31 


37.67 


21.43 


35 


36 


28.75 


21.67 


28.66 


31.79 


28.. 56 


21.92 


28.46 


22.04 


36 


37 


29.55 


22.27 


29.45 


33.40 


39.35 


23.53 


29.36 


33.65 


37 


38 


30.35 


33,87 


30.25 


33.00 


30.15 


33.13 


30.05 


23.36 


38 


39 


31.15 


33.47 


31.04 


33.61 


30.94 


33.74 


30.84 


33.88 


39 


40 

41 


31.95 


34.07 


31.84 


34.31 

34.82 


31.73 


24.35 


31.63 


34.49 


40 

41 


32 . 74 


34.67 


32.64 


33.53 


24.98 


33.42 


35.10 


42 


33.54 


35,38 


33.43 


25.42 


33.33 


25.57 


33.31 


35.71 


43 


43 


34.34 


25 . 88 


34.23 


36.03 


34.11 


26.18 


34.00 


26.33 


43 


44 


35.14 


26.48 


35.02 


26.63 


34.91 


26.79 


34.79 


26.94 


44 


45 


35.94 


27.08 


35.82 


27.24 


.35.70 


27.39 


35.58 


27.55 


45 


46 


36.74 


37.68 


36 . 62 


27.84 


36.49 


28.00 


36.37 


38.16 


48 


47 


37.54 


28.29 


37.41 


28.45 


37.39 


28.61 


37.16 


28.77 


47 


48 


38.33 


28.89 


38.21 


29.05 


38.08 


29.23 


37.95 


29.39 


48 


49 


39.13 


39.49 


39.00 


29.66 


38.87 


29.83 


38.74 


30.00 


49 


50 


39.93 


30.09 


39.80 
Dep. 


30.26 


39.67 


30.44 


39.53 


30.61 


50 


Dep. 


Lat. 


Lat 


Dep. 


Lat. 


Dep. 


Lat. 


CD 
U 

a 

1 


53 Deg. 


52f Deg. 


52i Deg 


52i Deg. 



TK AVERSE TABLE. 



77 



i 

n 
? 

51 


37 Deg. 


37i Deg. 


21h Deg. 


371 Deg. 


e 

a 
? 

"61 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


40.73 


30.69 


40.60 


30.87 


40.46 


31.05 


40.. 33 


31.22 


52 


41.53 


31.29 


41.39 


31.48 


41.25 


31.66 


41.12 


31.84 


62 


53 


42.33 


31.90 


42.19 


32.08 


42.05 


.32.26 


41.91 


32.45 


63 


54 


43.13 


32.50 


42.98 


32.69 


42.84 


32.87 


42.70 


33.06 


54 


55 


43.92 


33.10 


43.78 


33.29 


43.63 


33.48 


43.49 


33.67 


56 


56 


44.72 


33.70 


44.58 


33.90 


44.43 


34.09 


44.28 


34.28 


56 


57 


45.62 


34.30 


45.37 


34.50 


45.22 


34.70 


45.07! 34.90 


57 


68 


46.32 


34.91 


46.17 


35 . 1 1 


46.01 


35.31 


45.86 


35.51 


58 


59 


47.12 


35.51 


46.96 


35.71 


46.81 


35 . 92 


46.65 


36.12 


59 


60 
61 


47.92 


36.11 


47.76 


36.32 


47.60 


36.53 
37.13 


47.44 

48.23 


36.73 


60 
61 


48.72 


36.71 


48.56 


36.92 


48.39 


37.35 


62 


49.52 


37.31 


49.35 


37.. 53 


49.19 


37.74 


49.02 


37.96 


62 


63 


50.31 


37.91 


50.15 


38.13 


49.98 


38.36 


49.81 


38.57 


63 


64 


51.11 


38.. 52 


50.94 


38.74 


50.77 


38.96 


50.60 


.39.18 


64 


65 


51.91 


39.12 


51.74 


39.34 


61.57 


39 . 57 


51.39 


39.79 


65 


66 


52.71 


39.72 


52.54 


39.95 


52.36 


40.18 


52.19 


40.41 


66 


67 


53.51 


40.32 


53.33 


40.55 


53.15 


40.79 


.52.98 


4i.02 


67 


68 


54.31 


40.92 


.54.13 


41.16 


53.96 


41.40 


53.77 


41.63 


68 


69 


55.11 


4i.53 


54.92 


41.77 


54.74 


42.00 


54.56 


42.24 


69 


70 
71 


55.90 
56.70 


42.13 
42.73 


55.72 
56.52 


42.37 

42.98 


55.53 
56.33 


42.61 


55.35 


42.86 


70 

71 


43.22 


56.14 


43.47 


73 


67.50 


43.33 57.31 


43.68 


57.12 


43.83 


66.93 44.08 


72 


73 


58.30 


43.93 1 .58.11 


44.19 


57.91 


44.44 


57.72 


44.69 


73 


74 


59.10 


44.53 58.90 


44.79, 


58.71 


45.05 


68.61 


45.30 


74 


75 


59.90 


45.14 159.70 


46.40 


.59.50 


45 . 66 


59 . .30 


45.92 


75 


76 


60.70 


45. 74 160.. 50 


46.00 


60.29 46.27 


60.09 


46.63 


76 


77 


61.49 


4^.34 I 


61.29 


46.61 


61.09 46.87 


60.88 


47.14 


77 


78 


62.29 


46.94; 


62.09 


47.21 


61.88 


47.48 


61.67 


47.75 


78 


79 


63.09 


47.54; 


62.88 


47.82 


62.67 


48.09 


62.46 


48.37 


79 


80 
81 


63.89 
64.69 


48.15; 

48.75; 


63.68 


48.42 
49.03 


63.47 
64.26 


48.70 
49.31 


63.20 


48.98 


80 
8l 


64.48 


64.05 


49.59 


82 


65.49 


49.35 1 


66.27 


49.63 


65.05 


49.92 


64.84 


50.20 


82 


83 


66.29 


49.95! 


66.07 


.50.24 


65.85 


50.53 


65.63 


50.81 


83 


84 


67.09 


50.55 


66.86 


.50.84 


66.64 


51.14 


66.42 


51.43 


84 


85 


67.88 


61.151 


07.66 


51.45 


67.43 


61.74 


67.21 


52.04 


85 


86 


68.68 


51.76; 


68.46 


62.06 


68.23 i 52.35 


68.00 


52.65 


86 


87 


69.48 


52.36! 


69.25 


52.66 


69.02 


62.96 


68.79 


.53.26 


87 


88 


70.28 


52.96 11 70.05 


53.27 


69.82 


63.57 


69.58 


53.88 


88 


89 


71.08 


53.56 


70.84 


53.87 


70.61 


54.18 


70.37 


54.49 


89 


90 

'91 


71.88 
72. 6« 


54.16 
,54.77 


71.64 


64.48 
56.08 


71.40 


54 . 79 


71.16 


55.10 


90 


72.44 


72.20 


55.40 


71.95 


.55.71 


" 91 


92 


73.47 


55.37 


73.23 55.69 


72.99 


56.01 


72.74 


.56.32 


92 


93 


74.27 


55.97 


74.03 56.29 


73.78 


56.61 


73.. 53 


56.94 


93 


94 


75.07 


56.57 


74.82 i 56.90 


74.. 58 


67.22 


74.32 


57.. 55 


94 


96 


75.87 


57.17 


75.62 1 67.50 


75.37 


67.83 


75.12 


58.16 


95 


96 


76.67 


57.77 


76,42 68.11 


76.16 


58.44 


75.91 


58.77 


96 


97 


77.47 


58.38 


77.21 58.71 


76.96 


59.06 


76.70 


59.39 


97 


98 


78.27 


58.98 


78.01 69.32 


77.75 


59.66 


77.49 


60.00 


98 


99 


79.06 


.59.58 


78.80 59.92 


78.64 


60.27 


78.28 


60.61 


99 


100 


79.86 


60.18 


79.60 


60.53 


79.34 


60.88 


79.07 


61.22 


100 


Dep. 


Lat. 


Dep. 


Lat. 


Dep 


Lat. 


Dep. 


Lat. 


a 

1 

3 


53 1 


)eg. 


521 Deg. 


^,_ 

52h Deg. 

I 


52i Deg. 



78 



TEAVEESE TABLE. 



a 

5' 
1 


38 Deg. 


m Deg. 


38^ Deg. 


381 Deg. 


1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 1 Dep. 


Lat. 


Dep. 


1 


0.79! 0.62 


0.79 


0.62 


0.78! 0-62 


0.78 


0.63 


1 


2 


1.58; 1.23 


1.57 


1.24 


1.57 


1.24 


1..56 


1.25 


2 


3 


2.36 1.85 


2.36 


1.86 


2.35 


1.87 


2.34 


1.88 


3 


4 


3.15; 2.46 


3.14 


2.48 


3.13 


2.49 


3.12 


2.50 


4 


5 


3.94 3.08 


3.93 


3.10| 


3.91 I 3.11 


3.90 


3.13 


5 


6 


4.73 3.69 


4.71 


3.71 1 


4.70! 3.74 


4.68 


3.76 


6 


7 


5.52 4.31 


5.50 


4.33 


5.48! 4.36 


5.46 


4.38 


7 


8 


6.30 4.93 


6.28 


4.95 


6.26 1 4.98 


6.24 


5.01 


8 


9 


7.09 5.54 


7.07 


5.57 


7.04 1 5.60 


7.02 


5.63 


9 


iO 
11 


7.88 6.16 


7.85 


6.19 


7.83 6.23 


7.80 


6.26 


10 


8.67 6.77 


8.64 


6.81 


8.61 : 6.851 


8.58 


6.89 


11 


12 


9.46 


7.39 


9.42 


7.43 


9.39 7.47 


9.36 


7.51 


12 


13 


10.24 


8.00! 


10.21 


8.05 


10.17 8.09 


10.14 


8.14 


13 


14 


11.03 


8.62! 


10.99 


8.67 


10.96 8.72 


10.92 


8.76 


14 


15 


11.82 


9.23' 


11.78 


9.29 1 


11.74! 9.34 


11.70 


9.39 


15 


16 


12.61 


9.85 


12.57 


9.91 1 


12.52! 9,96 1 


12.48 


10.01 


16 


17 


13.40: 


10.47 


13.35 


10.52 


13.30 1 10.58 i 


13.26 


10.64 


17 


18 


14.18 


11.08 


14.14 


11.14| 


14.09 I 11.21 i! 14.04 


11.27 


18 


19 


14.97 


11.70 


14.92 


11.76 ; 


14.87' 11.83 ;| 14.82 


11.89 


19 


20 
21 


15.76 12.31! 


15.71 


12.38 i! 15.65 ; 12.45 !i 15.60 


12.52 


20 


16.55 12.93 


16.49 i 13.00 


16.43 13.07 ' 16.38 


13.14 


21 


22 


17.34 13.54 


17.28 


13.62 


17.22 ; 13.70 li 17.16 


13.77 


22 


23 


18. U 14.16 


18.06 


14.24 


18.00 i 14.32 i 17.94 


14.40 


23 


24 


18.91 14.78; 


18.85 


14.86 i 


18.78 ! 14.94 ' 18.72 


15.02 


24 


25 


19.70 15.39 


19.63 


15.481 


19.. 57 


15.56 i 19.50 


15.65 


25 


2fi 


20.49 16.01 


20.42 


16.10 


20.35 


16.19 i 20.28 


16.27 


26 


27 


21.28 16.62 


21.20 


16.72 


21.13 


16.81 1 21.06 


16.90 


27 


28 


22.06 17.24 


21.99 


17.33 


21.91 


17.43 21.84 


17.53 


28 


29 


22.85 17. S5 


22.77 


17.95 


22 . 70 


18.05' 22.62 


18.15 


29 


30 1 23.64 


18.47 


i 23.56 


18.57 


23.48 


18.68 


23.40 

24.18 


18.78 


30 


31 


24.43 


19.09 


24.34 


19.19 


24.26 


19.30 


19.40 


31 


32 


25.22 


19.70 


25.13 ! 19.81 


25.04 1 19.92 24.96 


20.03 


32 


33 


26.00 


20.32 


25.92 i 20.43 


25.83 120.54 25.74 


20.66 


33 


34 


26.79 


20.93 


26.70 i 21.05 


26.61 1 21.17 26.52 


21.28 


34 


35 


27.58 


21.55 


27.49 121.67 


27.39 1 21.79 i 27.30 


21.91 


35 


36 


28.37 


22.16 


28.27 122.29 


28.17 1 22.41 ■' 28.08 


22.53 


36 


37 


29.16 


22.78 


29.06 i 22.91 


28.96 23.03 i 28.86 


23.16 


37 


38 


29.94 


23.40 


29.84 123.53 


29.74 23.66 ; 29.64 


23.79 


38 


39 


30.73 24.01 


30.63 i 24.14 


.30.52 24.28 ; 30.42 


124.41 


39 


40 


31.52 


24.63 
25.24 


31.41 124.76 


31.30 


24.90 
25.52 


31.20 


[25.04 


40 


41 


32.31 


32.20: 25.38 


32.09 


31.98 


25.66 


41 


42 


33.10 


25.86 


32 . 98 i 26 . 00 


32.87 1 26.15; 32.76 


26.29 


42 


43 


33.88 


26.47 


33.77 


26.62 


33.65 1 26.77 33.53 


126.91 


43 


44 


34.67 


27.09 


34.. 55 


27.24 


34.43: 27.39 i 34.31 


127.54 


44 


45 


35.46 


27.70 


35.34 


27.86 


35.22; 28.01 ' 35.09 128.17 


45 


46 


36.25 


28.32 


36.12 


28.48 


36.00 


28.64 i 35.87 


128.79 


46 


47 


37.04 


28.94 


36.91 


29.10 


36.78 


29.26 36.65 


29.42 


47 


48 


37.82 


29.55 


37.70 


29.72 


37.57 


29.88 37.43 


30.04 


48 


49 


38.61 


30.17 


38.48 


30.34 


38.35 


30. .50 38.21 


30.67 


49 


50 


39.40 


30.78 


39.27 


30.95 


39.13 


31.13 i:38. 99 


31.30 


50 


o 

a 

.2 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 


5^> Deg 


511 Deg. 


5U Deg. 


' 5U Deg. 



TRAVERSE TABLE. 



79 



o 

5' 

S 

P 
51 


38 Deg. 


38i Deg. 


38^ Deg- 


381 Deg. 





9 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


40.19 


31.40 


40.05 


31.57 


39.91 


31.75 


39.77 


31.92 


51 


52 


40.98 


32.01 


40.84 


32.19 


40.70 


32.37 


40.55 


32.55 


52 


53 


41.76 


32.63 


41.62 


32.81 


41.48 


32.99 


41.33 


33.17 


53 


54 


42.55 


33.25 


42.41 


33.43 


42.26 


33.62 


42.11 


33.80 


54 


55 


43.34 


33.86 


43.19 


34.05 


43.04 


34.24 


42.89 


34.43 


55 


56 


44.13 


34.48 


43.98 


34.67 


43.83 


34.86 


43.67 


35.05 


56 


57 


44.92 


35.09 


44.76 


35.29 


44.61 


35.48 


44.45 


35.68 


57 


58 


45.70 


35.71 


45.55 


35.91 


45.39 


36.11 


45.23 


36.30 


58 


59 


46.49 


36.32 


46.33 


36.53 


46.17 


36.73 


46.01 


36.93 


59 


60 
61 


47.28 


36.94 


47.12 


37.15 


46.96 


37.35 


46.79 


37.56 


60 


48.07 


37.56 


47.90 


37.76 


47.74 


37.97 


47.57 


38.18 


61 


62 


48.86 


38.17 


48.69 


38.38 


48.52 


38.60 


48.35 


38.81 


62 


63 


49.64 


38.79 


49,47 


39.00 


49.. 30 


39.22 


49.13 


39.43 


63 


64 


50.43 


39.40 


50.26 


39.62 


50.09 


39.84 


49.91 


40.06 


64 


65 


51.22 


40.02 


51.05 


40.24 


50.87 


40.46 


50.69 


40.68 


65 


66 


52.01 


40.63 


51.83 


40.86 


51.65 


41.09 


51.47 


41.31 


66 


67 


52.80 


41.25 


52.62 


41.48 


52.43 


41.71 


52.25 


41.94 


67 


68 


53.58 


41.86 


53.40 


42.10 


53.22 


42.33 


53.03 


42.56 


68 


69 


54.37 


42.48 


54.19 


42.72 


54.00 


42.95 


53.81 


43.19, 691 


70 
71 


55.16 


43.10 


54.97 


43.34 


54.78 


43.58 


54.59 


43.81 


70 


55.95 


43.71 


55.76 


43.96 


55.57 


44.20 55.37 


44.44 


71 


72 


56.74 


44.33 


56.54 


44.57 


56.35 


44.82 56.15 


45.07 


72 


73 


57.52 


44.94 


57.33 


45.19 


57.13 


45.44 56.93 


45.69 


73 


74 


58.31 


45.56 


58.11 


45.81 


57.91 


46.07 


67.71 


46.32 


74 


75 


59.10 


46.17 


58.90 


46.43 


58.70 


46.69 


58.49 


46.94 


75 


76 


59.89 


46.79 


59.68 


47.05 


59.48 


47.31 


59.27 


47.57 


76 


77 


60.68 


47.41 


60.47 


47.67 


60.26 


47.93 


60.05 


48.20 


77 


78 


61.46 


48.02 


61.25 


48.29 1 61.04 


48.56 


60.83 


48.82 


78 


79 


62.25 


48.64 


62.04 


48.91 i 61.83 


49.18 


61.61 


49.45 


79 


80 
81 


63.04 


49.25 


62.83 


49.53! 62.61 


49.80 


62.39 


50.07 


80 


63.83 


49.87 


63.61 


50.15 163.39 


50.42 


63.17 


50.70 


81 


82 


64.62 


50.48 


64.40 


50.77 1 64.17 


51.05 


63.95 


51.33 


82 


83 


65.40 


51.10 


65.18 


51.38: 64.96 


51.67 


64.73 


51.95 


83 


84 


66.19 


51.72 


65.97 


52.00' 65.74 


52.29 


65.51 


52.58 


84 


85 


66.98 


52.33 


66.75 


52.62:166.52 


52.91 


66.29 


53.20 


85 


86 


67.77 


52.95 


67.54 


53.^24 167.30 


53.54 


67.07 


53.83 


86 


87 


68.56 


53.56 


68.32 


53.86 '68.09 


54.16 


67.85 


54.46 


87 


88 


69.34 


54.18 


69.11 


54.48 : 68.87 


54.78 


68.63 


55.08 


88 


89 


70.13 


54.79 


69.89 


55.10 169.65 


55.40 


69.41 


55.71 


89 


90 
91 


70.92 


55.41 


70.68 


.55.72 70.43 


56.03 


70.19 


56.33 
56.96 


90 
91 


71.71 


56.03 


71.46 


56.34 71.22 


56.65 


70.97 


92 


72.50 


56.64 


72.25 


56.96 72.00 


57.27 


71.75 


57.58 


92 


93 


73,28 


57.26 


73.03 


57.58 .72.78 


57.89 


72.53 


58.21 


93 


94 


74.07 


57.87 


73.82 


58.19 ;i 73.57 


58.52 


73.31 


58.84 


94 


95 


74.86 


58.49 


74.61 


58.81 174.35 


59.14 


74.09 


59.46 


95 


96 


75.65 


59.10 


75.39 


59.43 75.13 


59.76 


74.87 


60.09 


96 


97 


76.44 


59.72 


76.18 


60.05 '75.91 


60.33 


75.65 


60.71 


97 


98 


77.22 


60.33 


76.96 


60.67 76.70 


61.01 


76.43 


61.34 


98 


99 


78.01 


60.95 


77.75 


61.29/77.48 


61.63 


77.21 


61.97 


99 


100 

6 
o 

.2 

Q 


78.80 


61.57 


78.53 


61.91 ! 


78.26 


62.25 


77.99 


62.. 59 


100 


Dep. 


Lat. 


Dep. 


Lat. I 


Dep. 


Lat. 


Dep. 


Lat. 


1 

5 


52 Deg. 


511 Deg. 


5U Deg. 


SU Deg. 



80 



TEAVERSE TABLE. 



5 

an 

» 
CD 

~1 


39 Deg. 


39i Deg. 


39i 


Deg. 


391 Deg. 


1 

1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0.78 


0.63 


0.77 


0.63 


j 0.77 


0.64 


0.77 


0.64 


2 


1.55 1.26 


1.55 


1.27 


1 1.54 


1.27 


1.64 


1.28 


2 


3 


2.33 1.89 


2.32 


1.90 


ll 2.31 


1.91 


2.31 


1.92 


3 


4 


3.11 2.52 


3.10 


2.53 


1 3.09 
I 3.86 


2.64 


3.08 


2.56 


4 


5 


3.89 3.15 


3.87 


3.16 


3.18 


3.84 


3.20 


6 


6 


4.66 3.78 


4.65 


3.80 


1 4.63 


3.82 


4.61 


3.84 


6 


7 


5.44 4.41 


5.42 


4.43 


5.40 


4.45 


6.38 


4.48 


7 


8 


6.22 5.03 


6.20 


5.06 


|l 6.17 


5.09 


6.15 


6.12 


8 


9 


6.99 , 5.66 


6.97 


5.69 


ll 6.94 


5.72 


6.92 


6.75 


9 


10 
11 


7.77 6.29 


7.74 


6.33 1! ^-72 


6.36 


7.69 


6.39 


10 
11 


8.65 6.92 


8.52 


6.96 


8.49 


7.00 


8.46 


7.03 


12 


9.33. 7.55 


9.29 


7.59 


9.26 


7.63 


9.23 


7.67 


12 


13 


10.10 8.18 


10.07 


8.23 


10.03 


8.27 


9.99 


8.31 


13 


14 


10.88 ; 8.81 


10.84 


8.86 


10.80 


8.91 


10.76 


8.95 


14 


15 


11.66 9.44 


11.62 


9.49 


11.57 


9.54 


11.53 


9.69 


16 


16 


12.43 10.07 


12.39 


10.12 


12.35 


10.18 


12.30 


10.23 


16 


17 


13.21 10.70 


13.16 


10.76 


13.12 


10.81 


13.07 


10.87 


17 


18 


13.99 11.33 


13.94 


11. .39 


13.89 


11.45 


13.84 


11.51 


18 


19 


14.77 11.96 


14.71 


12.02 


14.66 


12.09 


14.61 


12.15 


19 


20 

21 


15.54 12.59 


15.49 


12.65 


[ 15.43 


12.72 


15.38 


12.79 


20 
21 


16.32 13.22 


16.26 


13.29 


' 16.20 


13.36 


16.15 


13.43 


22 


17.10 ! 13.84 


17.04 


13.92 


16.98 


13.99 


16.91 


14.07 


22 


23 


17.87 14.47 


17.81 


14.55 


17.75 


14.63 


17.68 


14.71 


23 


24 


18.65 15.10 


18.59 


15.18 


18.52 


15.27 


18.45 


15.35 


24 


25 


19.43 , 15.73 


19.36 


15.82 


19.29 


15.90 


19.22 


15.99 


25 


26 


20.21 i 16.36 


20.13 


16.45 


20.06 


16.54 
17.17 


19.99 


16.63 


26 


27 


20.98 1 16.99 


20.91 


17.08, 


20.83 


20.76 


17.26 


27 


28 


21.76 i 17.62 


21.68 


17.72 


21.61 


17.81 


21.53 


17.90 


28 


29 


22.54 ■ 18.25 


22.46 


18.35 


22.38 


18.45 


22,30 


18.54 


29 


30 
31 


23.31 ; 18.88 
24.09 1 19.51 


23.23 


18.98 


23.15 


19.08 


23.07 


19.18 


30 


24.01 


19.61 


23.92 


19.72 


23.83 


19.82 


31 


32 


24.87,20.14 


24.78 


20.25 


24.69 


20.35 


24.60 


20.46 


32 


33 


25.65 20.77 


25.55 


20.88 


25.46 


20.99 


25.37 


21.10 


33 


34 


26.42 121.40 


26.33 


21.51 


26.24 


21.63 


26.14 


21.74 


34 


35 


27.20 


22.03 


27.10 


22.14 


27.01 


22.26 


26.91 


22.38 


35 


36 


27.98 


22.66 


27.88 


22.78 


27.78 


22.90 


27.68 


23.02 


36 


37 


28.75 


23.28 


28.65 


23.41 


28.55 


23.53 


28.45 


23.66 


37 


38 


29.53 


23.91 


29.43 


24.04 


29.32 


24.17 


29.22 


24.30 


38 


39 


30.31 


24.54 


30.20 


24.68 


30.09 


24.81 


29.98 


24.94 


39 


40 
41 


31.09 


25.17 


30.98 


25.31 


30.86 


25.44 


30.75 


25.58 


40 

41 


31.86 


25.80 


31.75 


25.94 


31.64 


26.08 


31.52 


26.22 


42 


32.64 


26.43 


32.52 


26.57 


32.41 


26.72 


32.29 


26.86 


42 


43 


33.42 


27.06 


33.30 


27.21 


33.18 


27.36 


33.06 


27.50 


43 


44 


34.19 


27.69 


34.07 


27.84 


33.95 


27.99 


•33.83 


28.14 


44 


45 


34.97 


28.32 


34.85 


28.47 


34.72 


28.62 


34.60 


28.77 


45 


46 


35.75 


28.95 


35.62 


29.10 


36.49 


29.26 


35.37 


29.41 


48 


47 


36.53 


29.58 


36.40 


29.74 


36.27 


29.90 


36.14 


30.05 


47 


48 


37.30 


30.21 


37.17 


30.37 


37.04 


30.53 


36.90 


30.69 


48 


49 


38.08 


30.84 


37.95 


31.00 


37.81 


31.17 


37.67 


31.33 


49 


_50 

6 

i 

to 

O 


38.86 


31.47 j 


38.72 


31.64 


38.58 


31.80 


38.44 


31.97 


50 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. Lat. 


Dep. 


Lat. 


51 Deg. 

1 


50| Deg. 


50^ Deg. 


50i Deg. 


s 

CO 



TRAVERSE TABLE. 



81 



9 
51 


39 Deg. 


39i Deg. 


m Deg. 


391 Deg. 



o 

CD 

~5l 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


39.63 


32.10 


39.49 


32.27 


39.35 


32.44 


39.21 


32.61 


52 


40.41 


32.72 


40.27 


32.90 


40.12 


33.08 


39.98 


33.26 


52 


53 


41.19 


33.35 


41.04 


33.53 


40.90 


33.71 


40.76 


33.89 


53 


54 


41.97 


33.98 


41.82 


34.17 


41.67 


34.35 


41.52 


34.53 


54 


55 


43.74 


34.61 


42.59 


34.80 


42.44 


34.98 


42.29 


35.17 


55 


56 


43.52 


35.24 


43.37 


35.43 


43.21 


35.62 


43.06 


35.81 


56 


57 


44.30 


35.87 


44.14 


36.06 


43.98 


36.26 


43.82 


36.45 


57 


58 


45.07 


36.50 


44.91 


36.70 


44.75 


36.89 


44.59 


37.09 


58 


69 


45.85 


37.13 


45.69 


37.33 


45.53 


37.53 


45.36 


37.73 


59 


60 
61 


46.63 


37.76 


46.46 


37.96 


46.30 


38.16 


46.13 


38.37 


60 
61 


47.41 38.39 


47.24 


38.60 


47.07 


38.80 


46.90 


39.01 


62 


48.18 39.02 


48.01 


39.23 


47.84 


39.44 


47.67 


39.65 


62 


63 


48.96 


39.65 


48.79 


39.86 


48.61 


40.07 


48.44 


40.28 


63 


64 


49.74 


40.28 ! 


49.56 


40.49 


49.38 


40.71 


49.21 


40.92 


64 


65 


50.51 


40.91 


50.34 


41.13 


,50.16 


41.35 


49.97 


41.56 


65 


66 


51.29 


41.54! 


51.11 


41.76 


50.93 


41.98 


50.74 


42.20 


66 


67 


52.07 


42.16 ' 


51.88 


42.39 


51.70 


42.62 


51.51 


42.84 


67 


68 


52.85 


42.79 ' 


52.66 


43.02 


52.47 


43.25 


52.28 


43.48 


68 


69 


53.52 


43.42 1 


53.43 


43.66 


53.24 


43.89 


53.05 


44.12 


69 


70 

71 


54.40 


44.05 1 


54.21 
54.98 


44.29 


54.01 


44.53 


53.82 


44.76 
45.40 


70 

71 


55.18 


44.68 1 


44.92 


54.79 


45.16 


54.59 


72 


55.95 


45.31 1 


55.76 


45.55 


55.56 


45.80 


55.36 


46.04 


72 


73 


56.73 


45.94 1 


56.53 


46.19 


56.33 


46.43 


56.13 


46.68 


73 


74 


57.51 


46.57 


57.31 


46.82 


57.10 


47.07 


56.89 


47.32 


74 


75 


58.29 


47.20 


58.08 


47.45 


57.87 


47.71 


'57.66 


47.96 


75 


76 


59.06 


47.83 


58.85 


48.09 


58.64 


48.34 


1.58.43 


48.60 


76 


77 


59.84 


48.46 


59.63 


48.72 


59.42 


48.98 


'59.20 


49.24 


77 


78 


60.62 


49.09 


60.40 


49.35 


60.19 


49.61 


i .59.97 


49.88 


78 


79 


61.39 


49. T2 


61.18 


49.98 


60.96 


.50.25 


160.74 


50.52 


79 


80 

81 


62.17 


50.. 35 


61.95 


50.62 


61.73 


.50.89 


;61.51 


51.16 


80 
81 


62.95 


50.97 


62.73 


51.25 


62.50 


51.52 


] 62.28 


51.79 


82 


63.73 


51.60 


63.50 


51.88 


63.27 


52.16 


63.04 


52.43 


82 


83 


64.50. 


52.23 


64.27 


52.51 


64.04 


.^)2.79 


163.81 


53.07 


83 


84 


65.28 


52.86 


65.05 


53.15 


64.82 


53.43 


! 64.58 


53.71 


84 


85 


66.06 


53.49 


65.82 


53.78 


65.59 


54.07 


65.35 


54.35 


85 


86 


66.83 


54.12 


66.60 


54.41 


66.36 


54.70 


166.12 


54.99 


86 


87 


67.61 


54.75 


67.37 


55.05 


67.13 


55.34 


: 66.89 


55 . 63 


87 


88 


68.39 


55.38 


68.15 


55.68 


67.90 


55.97 


67.66 


56.27 


88 


89 


69.17 


56.01 


68.92 


56.. 32 


68.67 


56.61 


i 68.43 


56.91 


89 


90 
91 


69.94 


56.64 


69.70 


56.94 


69.45 


.57.25 


169.20 


57.55 


90 

91 


70.72 


57.27 


70.47 


57.58 


70.22 


57.88 


,69.96 


58.19 


92 


71.50 


57.90 


71.24 


58.21 


70.99 


58.52 


70.73 


58.83 


92 


93 


72.27 


58.53 


72.02 


58.84 


71.76 


59.16 


1 71.50 


,59.47 


93 


94 


73.05 


59.16 


72.79 


59.47 


72.53 


59.79 


172.27 


60.11 


94 


95 


73.83 


59.79 


73.57 


60.11 


73.30 


60.43 


73.04 


60.75 


95 


96 


74.61 


60.41 


74.34 


60.74 


74.08 


61.06 


73.81 


61.39 


90 


97 


75.38 


61.04 


75.12 


61.37 


74.85 


61.70 


74.58 


62.03 


97 


98 


76.16 


61.67 


75.89 


62.01 


75.62 


62.34 


75.35 


62.66 


98 


99 


76.94 


62.30 


76.66 


62.64 


76.39 


62.97 


76.12 


63.30 


99 


100 

6 
o 
a 

1 


77.71 


62.93 


77.44 


63.27 


77.16 


63.61 


76.88 


63.94 


100 

Q 


Dep. 

■ 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


51 Deg. 


501 Deg. 


50i Deg. 


50\ Deg. 



82 



TRAVEESE TABLE. 



^— — • — ^ ■— .^ — — — 


1 




■^ 


C 1 40 Deg. : 


40i I>&g. \ 40^ Deg. 


m Deg. 


C 


1 Lat. 
ll 0.77 


Dep. \ Lat. 
0.64 0.76 


Dep. ;; Lat. 
0.65 ; 0.76 


Dep. 
0.65 


1 Lat. 
0.76 


iDep. 


0.65' ll 


2 1.53- 


1.29 1.53 


1.29 i! 1.52 


1.30 


1..52 


1.31 


2 


3| 2.30 


1.93 2.29 


1.94 1; 2.28 


1.95 


2.27 


1.96 


3 


4< 3.06 


2.57 3.05 


2.58 1 3.04 


2.60 


3.03 


2.61 


4 


5| 3. S3 


3.21 i 3.82 


3.23 ;. 3.80 


3.25 


3.79 


3.26 


5 


6 4.60 


3.86;! 4.58 


3.88 i: 4. .56 


3.90 


4.55 


3 . 92 


6 


7 5.36 


4.50 5.34 


4.52 'v 5.32; 4.55 


5 . 30 


4.57 


7 


8 6.13 


5.14 6.11 


5.17 |i 6.08 : 5.20 


fi .("16 


5 . 22 


8 


9i 6.89 


5.79] 6.87 


5.82 ii 6.84: 5.84 


6.S2 


5.87 


9 


10 i 7.66 

11 : 8.4:3 


6.43 I 7.63 

7.07 1 8.40 


6.46 1; 7.60 


6.49 
7.14 


7.58 
8 . 33 


6.53 
7.18 


10 

n 


7.11 ii 8.36 


12' 9.19 


7.71 1 9.16 


7.75 ij 9.12; 7.79 


9.09 


7.83 


12 


13. 9.96 


8.36 ! 9.92 


8.40 il 9.89 8.44 


9.85 


8.49 


13 


14 10.72 


9.00 1 10.69 


9.05 l':^,^? 9.09 


10.61 


9.14 


U 


1.5 il.49 


9.64 ! 11.45 


9.69 :: .: 9.74 


11.36 


9.79 


15 


16 12.26 


10.28 1 12.21 


10.34 .: :: 10.39 


12. '12 


10.44 


16 


17 13.02 


10.93 12.97 


10.98 , 12.93 11.04 


12.88 


n.io 


17 


' IS 13.79 


11.57 ' 13.74 


11.63,13.69 11.69 


13.64 


11.75 


18 


19 14.55 


12.21 : 14.50 


12.28 : 14.45 12.34 


14.39 


12.40 


19 


20 15.. 32 12.86 i 15.26 


12.92 15.21 12.99 


15.15 


13.06 


20 


21 16.09 13. .50 • 16.03 


13.57 15.97 13.64 


15.91 


13.71 


21 


22 16.85 14.14; 16.79 


14.21 16.73 14.29 


16.67 


U.36 


22 


23 17.62 14.78 17.55 


14.86 -7^^ 14.94 


17.42 


15.01 


23 


24 18,39 15.43 18.32 


15.51 1^.2c 15.59 


18.18 


15.67 


24 


25 19.15 16.07 19.08 


16.15 19.01 1 16.24 


18.94 


16.32 


25 


26 19.92 16.71 19.84 


16. SO : 19.77 ! 16.89 


19. 7y 


16.97 


26 


27 20.68 17.36 20.61 ; 17.45 ^ 20.53 17. .54 


20 . i5 


17.62 


■^7 


2S 21.45 18.00, 21.37 i 18.09 21.29 18.18 


21.21 


IS. 2^ 


28 


29 22.22 1S.64 22.13; 18.74 22.05 18.83 


21.97 


18.93 


29 


-30 22.98 19.28 


22.90 19.38 22.81 19.48 


J2.73 
23.48 


19. 5S 
20.24 


30 
31 


31 23.75 19.93 


23.66 


20.03 23.57 20.13 


32 24.51 20.57 24.42 


20.68 24.33 


20.78 


24.24 


20. S 9 


32 


33 : 25.2? 21.21 25. ly 


21.32 25.09 


21.4? 


25.00 


21.54 


33 


:34 26.05 21. S5 25-95 


21.97 25.85 


22.08 


25.76 


22. 19 


34 


35 26. SI 22.50 2-. 71 22.61 26.61 22.73 


26.51 


22 . S5 


35 


36 27. 5S 23. U 27^- 23.25 27.37 23.38 


27.27 


33.50 


36 


37 2S.34 23, 7S u-,;^ 23. 9 i 2S.13 


24.03 


28.03 


24.15 


37 


3- 2y.:i 21,43 29,'." 24.55 2S.90 


24.68 


28.79 


24.80 


3S 


39 2H.Si 25,-7 2y,77 25.20 29.66 


25 . 33 


29.54 


25.46 


39 


40 3u . 64 25 . 7 i 30 . 53 25 . S4 30 . 43 


25.98 


30 . 30 


26.11 


40 


41 31.41 


26.35 31.29 26.49 31 . 18 


26. e3 


31.06 


2G.76 


41 


42 32.17 


27.00 32.06 27.14 31.94 


27.28 


31.82 


27.42 


42 


43 32.94 


27,64 32.82 .27.78 32.70 


27.93 


32.58 


28.07 


43 


44 33.71 


2S.2S 33.58 28.43 33.46 


28.. 58 


33.33 


28.72 


44 


45 31.47 


2S.93 34.35 29.08 34.22 


29.28 


34.09 


29.37 


45 


. 46 35.24 


29.57 35.1] 29.72 34.98 


29.87 


34.85 


30.03 


46 


47 36.00 


30.21 35. S 7 30.37 35.74 


30 . 52 


35.61 


30.68 


47 


48 36.77 


30.85 . 36.64 31.01 36.50 


31.17 


36.36 


31.33 48 


49 37.54 


31.50 , 37.40 31.66 37.26 


31.S2 


37.12 


31.99 49 


.50 3S.30 


32.14 


38.16 .32.31 : 38.02 
Dep. j Lat. |: Dep. 


32.47 

Lat. 


37.88 


32.64. 50 


i Dep. 


Lat. 


Dep. 


1 Lat. 


1 S 

1 =: 


C [1 

/'^ \ 50 Deff. u 49| Deg. 1 49^ Deg, 

i " i! i 


: 49i 


Deg. 


!5 



fRAVfiRSE TABLE. 



83 



m 

P 

S 
n 

o 


40 Deg. 


40i Deg. 


40^ Deg. 


401 Deg. 


1 
s 

? 

'51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


39.07 


32.78 1 


38 . 92 


32.95 


38 . 73 


33.12 


38.64 


33.29 


52 


39.83 


33.42 ! 


39.69 


33.60 


39.. 54 


33.77 


.39.39 


33.94 


52 


53 


40.60 


.34.07 i 


40.45 


34.^4 


40.30 


34.42 


40.15 


34.60 


53 


54 


41.37 


34.71 


41.21 


34.89 


41.06 


35.07 


40.91 


35.25 


54 


55 


42.13 


.35.35 1 


41.98 


35.54 


41.82 


35.72 


41.67 


35.90 


55 


56 


42.90 


36.00 


42.74 


36.18 


42.58 


.36.37 


42.42 


36.55 


56 


57 


43.66 


36.64 


43.50 


36.83 


43.34 


37.02 


43.18 


37.21 


57 


58 


44.43 


37.28 


44.27 


37.48 


44.10 


37.67 


43.94 


37.86 


58 


59 


45.20 


37.92 


45.03 


3S.12 


44.86 


.38.32 


44.70 


38.51 


59 


60 
61 


45.96 


38.57 


45.79 


38.77 


45.62 


38.97 
39.62 


45.45 


39.17 


60 


48.73 


39.21 


46 . 56 


39.41 


46.38 


46.21 


39.82 


61 


62 


47.49 


39.85 


47.32 


40.06 


47.15 


40.27 


46.97 


40.47 


62 


63 


48.26 


40.50 


48.08 


40.71 


47.91 


40.92 


47.73 


41.12 


63 


64 


49.03 


41.14 


48.85 


41.35 


48.67 


41..56j{ 48.48 


41.78 


64 


65 


49.79 


41.78 


49.61 


42.00 


49.43 


42.21 1149.24 


42.43 


65 


66 


50.56 


42.42 


50.37 


42.64 


60.19 


42.86 II 50.00 


43.08 


66 


67 


51.32 


43.07 


51.14 


43.29 


50.95 


43.51 50.76 


43.73 


67 


6S 


52.09 


43.71 


51.90 


43.94 


51.71 


44.16 51.51 


44.39 


68 


69 


52.86 


44.35 


52.66 


44.58 


52.47 


44.81 .52.27 


45.04 


69 


70 
71 


,53.62 


45.00 


53.43 


45.23 


53.23 


45.46 i 53.03 


45.69 


70 
71 


54.39 


45.64 


54.19 


45.87 


53,99 


46.11 1153.79 


46., 35 


72 


55.16 


46.28 


.54.95 


46.52 


54.75 


46.76 li 54.54 


47.00 


72 


73 


55.92 


46.92 


55.72 


47.17 


55.51 


47.41 1155.30 


47.65 


73 


74 


56.69 


47.. 57 


56.48 


47.81 


56.27 


48.06 


56.06 


48.30 


74 


75 


57.45 


48.21 


57.24 


48.46 


57.03 


48.71 


.56.82 


48.96 


75 


76 


.58.22 


48.85 


58.01 


49.11 


57.79 


49.36 


,57.57 


49.61 


76 


77 


58.99 


49.49 


58.77 


49.75 


58., 55 


50.01 


,58.33 


50.26 


77 


78 


59.75 


50.14 


59.53 


.50.40 


59.31 


50.66 


59.09 


50.92 


78 


79 


60.. 52 


50.78 


60.30 


51.04 


60.07 


51.31 


59.85 


51.57 


79 


80 
8i 


61.28 


51.42 


61.06 
61.82 


51.69 


60.83 


51.96 
52.61 


60.61 


52.22 


80 

81 


62.05 


52.07 


52.34 


61.59 


61.36 


52.87 


82 


62.82 


52.71 


62.59 


52.98 


62.35 


53.25 


62.12 


53.53 


82 


83 


63.. 58 


53.35 


63.35 


53.63 


63.11 


.53.90 


62.88 


54.18 


83 


84 


64.35 


53.99 


64.11 


54.27 


63.87 


54.55 


63.64 


54.83 


84 


85 


65.11 


54.64 


64.87 


54.92 


64.63 


55.20 


64.39 


.55.48 


85 


86 


65.88 


55.28 


65.64 


55.57 


65.39 


55.85 


65.15 


56.14 


86 


87 


66.65 


55.92 


66.40 


56.21 


66.16 


56.50 


65.91 


56.79 


87 


88 


67.41 


56.57 


67.16 


56.86 


66.92 


57.15 


66.67 


57.44 


88 


89 


68.18 


57.21 


67.93 


57.50 


67.68 


57.80 


67.42 


58.10 


89 


90 
91 


68.94 


57.85 


68.69 


58.15 


68.44 


58.45 


68.18 


58.75 


90. 


69.71 


58.49 


69.45 


58.80 


69.20 


59.10 


68.94 


59.40 


91. 


92 


70.48 


59.14 


70.22 


59.44 


69.96 


59.75 


69.70 


60.05 


95 


93 


71.24 


59.78 


70.98 


60.09 


70.72 


60.40 


70.45 


60.71 


9n 


94 


72.01 


60.42 


71.74 


60.74 


71.48 


61.05 


71.21 


61.36 


94 


95 


72.77 


61,06 


72.51 


61.38 


72.24 


61.70 


71.97 


62.01 


95 


96 


73.54 


61.71 


73.27 


62.03 


73.00 


62.35 


72.73 


62.66 


96 


97 


74.31 


62.35 


74.03 


62.67 


73.76 


63.00 


73.48 


63.32 


97 


98 


75.07 


62.99 


74.80 


63.32 


74.52 


63.65 


74.24 


63.97 


98 


99 


75.84 


63.64 


75.56 


63.97 


75.28 


64.30 


75.00 


64.62 


99 


100 


76.60 


64.28 


76.32 
Dep. 


64.61 


76.04 


64.94 


75.76 


65.28 


100 


Dep. 


Lat. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 




?. 


' 














1 










O 


50 Deg. 


49J Deg. 


49^ Deg. 


49i Deg. 


.28 



64 



TfiAVERSZ TABLE. 



41 Deg. 



41ir Des. 



4U Dez. 



4 Deg. 



Lat. { Dep. La:, ^ Dep. Lat, 



8 

9 

10 



0.75 

1.51 
2.26 
3.02 
3.77 
4.. 53 
5.2S 
6.04 
6.79 
7.55 



0.66 
].31 
1.97 
2.62 
3.28 
3.94 
4.59 
5.25 
5.90 
6.56 



lO 

..50 
1.26 



0.66 
1.32 

1.93 



8.30 

9.06 

9.81 

10.. 57 

11.32 

16 i 12.08 

17 i 12.83 

18 13.58 

19 i 14.34 
20' 15.09 



11 i 

12 

13 

14 

15 



7.87 

8.53 

9.1? 

9.84 

10.50 

11.15 

11.81 

12.47 

13.12 



21 I 15.85 

22 16.60 

23 17.36 



24 
25 
26 
27 
28 
29 
30 



31 



34 

35 



18.11 
18.87 
19.62 
20.38 
21.13 
21.89 
22.64 



13.78 
14.43 
15.09 
15.75 
16.40 
17.06 
17.71 
18.37 
19.03 
19.68 



23.40 
24.15 
24.91 
25.66 
26.41 
27.17 
27.92 
28.68 
29.43 
30.19 



37 I 
38! 
39 
40| 

41 130.94 

42 [31.70 

43 I 32.45 
44I33.2I 
45; 33.96 

46 '34.72 

47 i 35.47 



20.34 
20.99 
21.65 
22.31 
22 . 96 
23.62 
24.27 
24.93 
25.. 59 
26.24 
26.90 



3.01 


2.64: 


3.78 


3.30 


4.51 


3.96 


5.26 


4.62 


6.01 


5.27 


6.77 


5.93; 


7.52 


6.59 


S 97 


- .- r 



0.75 
1.50 
2.25 
3.00 
3.74 
4.49 
5.24 
5.99 
6.74 
-.49 



Dep. 



0.66 
1.33 
1.99 
2.65 
3.31 
3.98 
4.64 
5.30 
5.96 
6.63 



Lat Dep. 



0.75 i 
1.49 i 
2.24 i 
2.98 
3.73 
4.48 
5,22 : 
'5.97 j 
6.71; 
7.46 



0.67 
1..33 
2.00 
2.66 
3.33 
4.00 
4.66 
5.-33 
5.99 



12.03 i 

12.78 
13.53' 
14. 2S 
15.04 



- .- r 


^.■:4 


7.29 1 


7 0' 


^.yy 


7.95! 


V ' ^ 


9.74 


8.61 


- , ■; .- 


10.49 


9.28 1 


i? . 5i? 


11.23 


9.94i 


10.. 55 


11.98 


10.60 


11.21 


12.73 


11.26 


11.87 


13.48 


11.93, 


12.53 


14.23 


12.59! 


13.19 


14.93 


13.25 1 



15.79 [ 

16.54; 

17.29^ 

18.04! 

18.80! 

19.55; 

20.30, 

21.05 ( 

21.80' 

22.56^ 

23.?; 

24.0- 

24. SI 

25.56 

26.31 



13.85 

14.51 

15.16 

15.S2 

16.48 

17.14 

17.80 

18.46 

19.12! 

19.78 



', i . i o 
22.42 

23.08 



48 
49 
50 



36.23 
36.98 
37.74 



27 


55 


28 


21 


28 


87 


29 


52 


30 


18 


30.83 


31 


49 . 


32 


15' 



28 . 5 7 
29.32 
30.07 
30. V? 

31 r- 

32. SI 

33. 0^ 

33. Si 
34.0- 
35.?^ 
36 . '. r 
36. i4 



25.71 
26 . 37 



32.80 s: 



8.21 
8.95 
9.70 
10.44 
11.19 
11.94 
12.68 
13.43 
14.18 
14.92 



15.73 

16.48 ; 

17.23 ! 

17.97! 

18.72 

19.47 

20.22 

20.97 

21.72 

22.47 



23 . 22 
23.97 
24.72 
25.46 
26.21 
26.96 
27.71 
28.46 
29.21 
29 . 96 



13.91 
14.58 
15.24 
5.90 
16.57 
17.23 
17.89 
18.. 55 
19.22 
19.88 



15.67 

I 16.41 

! 17.16 

I 17.91 

18.65 

I 19.40 

20.14 

20.89 

21.64 

22.38 



6.66 I JO 

11 
12 
13 
14 
15 
16 
17 
18 
19 
JO 
21 
22 
•23 
24 
25 
26 



7.32 

7.99 

8.66 

9.32 

9.99 

10.65 

11.32 

11.99 

12.65 

13.32 



23.13 
23.87 
24.62 
25.37 
26.11 
26.85 
52 1127.60 
18!' 28.35 
84'! 29.10 
50 ; 29.84 



13.98 

14.65 

15.32 

15.98 

16.65 

17.31 

17.98 

18.64 

19.31 

19.98 

20.64 I 

21.31 

21.97 

22.64 

23.31 

23.97 

24.64 

25.30 

25.97 

26.64 



30.71 !27 

31.46 

32.21 

32.95 

33 . 70 

34.45 

35 . 20 

35 . 95 

36.70 

37.45 



17 [ 30.59 
83 31.33 
49 i! 32.08 
16 I 32.83 
33.-57 
34.32 
35.06 
35.81 
36.. 56 
37.30 



27.30 
27.97 
28.63 
29.30 
29.97 
30.63 
31.30 
31.96 
32.63 
33.29 



28 
29 

_?? 
31 
.32 
33 
34 
35 

If 

38 
39 
_40 
41 
42 
43 
44 
45 
46 
47 
48 
49 
.50 



S I Dep. j Lat, ^ Dep. j Lat. Dep. Lat. '<\ Dep. ■ Lat. 



49Deff. 



4Si Der. 



4St Deg. 



4Si Deg. 



TBAVERSE TABLE. 



85 



5 

P 

1 
51 


41 Deg. 


4U Deg. 


41 i Deg. 


411 Deg. 


9. 
1 

51 


Lat. 


Dep. 


Lat. 1 Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


38.49 


33.46 i 


38.34 1 33.63 


38.20 


33.79 


38.05 


33.96 


52 


39.24 


34.12 1 


39 -.10 1 34.29 


38.95 


34.46 


.38.79 


34.63 


52 


53 


40.00 


34.77 


39.85 34.95 


39.69 


35.12 


39.54 


35.29 


53 


54 


40.75 


35.43 1 


40.60 ' 35.60 


40.44 


35.78 


40.29 


35.96 


54 


55 


41.51 


36.08 1 


41.35 ! 36.26 


41.19 


33.4^1: 


41.03 


36.62 


55 


56 


42.26 36.74 ii 


42.10 1 36.92 


41.94 


37.11 


41.78 


37.29 


56 


57 


43.02 


37.40 1' 


42.85 1 37.58 


42.69 


37.77! 


42.53 


37.96 


57 


58 


43.77 


38.05 1 


43.81 i 38.24 


43.44 


38.43 1 


43.27 


38.62 


58 


59 


44.53 


38.71 1 


44.36:38.90 


4-4.19 


39.09 1 44.02 


39.29 


59 


60 

61 


45.28 
46.04 1 


39.36 i 


45.11 1 39.56 1 


44.94 


39.76 II 44.76 


39.95 


60 
61 


40.02 : 145.86 \ 40.23 i 


45.69 1 40.42 |j 45.51 


40.62 


62 


46.79 40.68; 


46.61 ; 40.88 


46.44! 41.08 


46.26 


41.28 


62 


63 


47.55 


41.33^ 


47.37:41.-54 


47.18 ; 41.75 


47,00 


41.95 


63 


64 


48.30 


41.99: 


48.12 ! 42.20 


47.93 142.41 


47.75 


42.62 


64 


65 


49.06 


42.641 


48.87 142.86 


48.68 1 43.07 


48.49 


43.28 


65 


66 


49.81 


43.30 ! 


49.62 43.52 


49.43 143.73 


49.24 


43.95 


66 


67 


50.57 


43.96 i| 50.37 1 44. 18 


50.18 1 44.40 1 


49.99 


44.61 


67 


68 


51.32 


44.611 51.13 44.84 


50.93 1 45.06 | 


50.73 


45.28 


68 


69 


52.07 1 45.27 !| 51.88 ^ 45.49 ! 


51.68 45.72 1 


51.48 


45.95 


69 


70 
71 


52.83 45.92' 


52.63 146.] 5 


.52.43 


46.38 1 
47.05 1 


52.22 46.61 


70 


53.58 


46.. 5S 1 


53.33 '46. Si 


53. iS 


.52.97 147.28 


71 


72 


54.34 


47.24 i' 54. 13 


47.47 


53.92 147.71 


53.72 j 47.94 


72 


73 


55.09 


47.89! 54.88 
48..55:' 55.64 


48.13 


.54.67 48.37 


54.48 148.61 


73 


74 


55.85 


48.79 


.55.42 ,49.03 


55.21 


49.28 


74 


75 


56.60 


49.20; 


.56.39 


49.45 


66.17 49.70 


55.95 


49.94 


75 


76 


57.36 


49.86 1 


57.14 


50.11 


56.92 1 50.36 


56.70 


50.61 


76 


77 


58.11 


50.52 


57.89 


.50.77 


57.67 151.02 


57.45 


51.27 


77 


78 


58.87 


51.17 


68.64 


51.43 


.58.42 51.68 


58.19 


51.94 


78 


79 


59.62 


51.83 


59.40 


52.09 


59.17 52.35 


58.94 


52.60 


79 


80 
81 


60.38 


52.48 
53.14 


60.15 


52.75 


.59.92 53.01 


59.68 


53.27 


80 


61.13 


60.90 


53.41 


60.67; 53.67 


60.43 


53.94 


81 


82 


61.89 


53.80 


61.65 


54.07 


61.41 


54.33 


61.18 


54.60 


82 


83 


62.64 


54.45 


62.40 


.54.73 


62.16 


55.00 


61.92 


,55.27 


83 


84 


63.40 


55.11 


63.15 


55.38 


62.91 


55.66 


62.67 


55.93 


84 


85 


64.15 


55.76 


63.91 


56.04 


63.66 


56.32 


63.41 


56.60 


85 


86 


64.90 


56.42 


64.66 


56.70 


64.41 


56.99 


64.16 


57.27 


86 


87 


65.66 


57.08 


65.41 


57.36 


65.16 


57.65 


64.91 


57.93 


87 


88 


66.41 


57.73 


66.16 


58.02 


65.91 


58.31 


65.65 


58.60 


88 


89 


67.17 


58.39 


66. 9i 


58.68 


66.66 


58.97 


66.40 


59.26 


89 


90 
91 


67.92 
68.68 


1 59.05 
1.59.70 


67.67 


59.34 


67.41 


59.64 


67.15 


59.93 


90 


68.42 


60.00 


68.15 


60.30 


67.89 


60.60 


91 


92 


69.43 


60.36 


69.17 


60.66 


68.90 


60.96 


68.64 


61.26 


92 


93 


70.19 


161.01 


69.92 


61.32 


69.65 


61.62 


69.38 


61.93 


93 


94 


70.94 


61.67 


70.67 


61.98 


70.40 


62.29 


70.13 


62.59 


94 


95 


71.70 


62.33 


71.43 


62.64 


71.15 


62.95 


70.88 


63.20 


95 


96 


72.45 


62.98 


72.18 


63.30 


71.90 


63.61 


71.62 


63.92 


96 


97 


73.21 


63.64 


72-93 


63.96 


72.65 


64.27 


72.37 


64.59 


97 


98 


73.96 


64.29 


73.68 


64.62 


73.40 


64.94 


73.11 


65.26 


98 


99 


74.72 


i 64.95 


74.43 


65.28 


74.15 


65.60 


73.86 


65.92 


99 


100 

a 
.2 


75.47 


65.61 


75.18 


65.93 


74.90 


66.26 


74.61 


66.. 59 


100 

ai 
o 
a 

i 
p 


Dep. 


Lat. 


Dep. 


Lat. 


Dep 


Lat. 


Dep. 


Lat. 


49 Deg. 


481 Deg. 


1 

48^ Deg. 


48i Deg. 



SB 



TB AVERSE TABLE. 



5" 


42 Deg. 


1 

42i Deg. 


1 

42i Deg. 


421 Deg. 


3 

1 
r 


Lat. j Dep. 


Lat. 


Dep. 


Lat. 


1 Dep. 


I Lai. 


Dep. 


1 


0.74 


0.67 


0.74 


0.67 


1 0.74 


0.68 || 0.73 
1.35 1 1.47 
2.03' 2.20 


0.68 


2 


1.49 


1.34 


1.48 


1.34 


1 1.47 


1.36 


2 


3 


2.23 


2.01 


2.22 


2.02 


! 2.21 


2.04 


3 


4 


2.97 


2.68 


2.96 


2.69 


2.95 


2.70 1 2.94 


2.72 


4 


5 


3.72 


3.35 


3.70 


3.36 


3.69 


3.38 ii 3.67 


3.39 


5 


6 


4.46 


4.01 


4.44 


4.03 


4.42 


4.05 1! 4.41 


4.07 


fi 


7 1 5.20 


4.68 


! 5.18 


4.71 


1 5.16 


4.73 1 5.14 


4.75 


7 


8 


5.95 


5.35 


! 5.92 


5.38 


j 5.90 


5.40: 5.87 


5.43 


8 


9 


6.69 


6.02 


1 6.66 


6.05 


6.64 


6.08: 6.61 


6.11 


9 


10 


7.43 


6.69 


1 7.40 


6.72 


7.37 


6.76: 7.,S4 


6.79 


10 


11 


8.17 


7.36 


' 8.14 


7.40 


8.11 


7.43 8.08 


7.47 


n 


12 


8.92 


8.03 


' 8,88 


8.07 


8.85 


8.11 1 8.81 


8.15 


12 


13 


9.66 


8.70 


9.62 


8.74 


9.58 


8.78 : 9.55 


8.82 


13 


14 


10.40 


9.37 


10.36 


9.41 


10.32 


9.46 10.28 


9.50 


14 


15 


11.15 


10.04 


11.10 


10.09 


11.06 


10.13 11.01 


10.18 


15 


16 1 11.89 


10.71 


11.84 


10.76 


11.80 


10.81 11.75 


10.86 


16 


17 12.63 


11.38 


12.58 


11.43 


' 12.53 


11.48 12.48 


11.54 


17 


18 13.38 


12.04 i 


13.32 


12. iO 


13.27 


12.16 13.22 12.22 


IS 


19 14.12 


12.71 j 


14.06 


12.77 


14.01 


12.84 13,95 12.90 


19 


20 14.86 


13.38 ! 


14.80 


13.45 


14.75 


13.51 14.69 1 13.58 


20 


21 1 15.61 


14.05: 


15.54 


14.12 


15.48 


14.19 15.42 14.25 


21 


22 


16.35 


14.72 ! 


16.28 


14.79 


16.22 


14.86 16.16 14.93 


22 


23 


17.09 


15.39 ! 


17.02 


15.46 


16.96 


15.54 16.89 


15.61 


23 


24 


17.84 


16.06 


17.77 


16.14, 


17.69 


16.21 , 17.62 


16.29 


24 


25 


18.58 


16.73 


18.51 


16.81 ! 


18.43 


16.89 


1 18.36 


16.97 


25 


26 


19.32 


17.40 


19.25 


17.48 i 


19.17 


17.57 


■ 19.09 


17.65 


26 


27 


20.06 


18.07 


19.99 


18.15: 


19.91 


18.24 


19.83 


18.33 


27 


28 


20.81 


18.74 


20.73 


18.83 \ 


20.64 


18.92 


20.56 


19.01 


28 


29 


21.55 


19.40 


21.47 


19.50; 


21.38 


19.59 


'21.30 


19.69 


29 


30 


22.29 


20.07 


22.21 


20.17i 


22.12 


20.27 


'22.03 20.36 


30 


31 


23.04 


20.74 


22.95 


20.84 


22.86 


20.94 


22.76 ; 21.04 


31 


32 


23.78 


21.41 


23.69 


21.52 


23.59 


21.62 


23.. 50 j 21.72 


32 


33 


24.52 


22.08 


24.43 


22.19 


24.33 


22.29 


24.23 22.40 


33 


34 


25.27 


22.75 


25.17 


22.86 


25.07 


22.97 


24.97 123.08 


34 


35 


26.01 


23.42 


25.91 


23.53 


25.80 


23.65 


25.70; 23.76 


35 


36 


26.75 


24.09 


26.65 


24.21 


26.54 


24.32 


26.44 1 24,44 


36 


37 


27.50 


24.76 


27.39 


24.88 


27.28 


25.00 1 


27,17' 25.12 


37 


38 


28.24 


25.43 


28.13 


25.. 55 


28.02 


25.67 1 


27.90 1 25.79 


38 


39 


28.98 


26.10 


28.87 


26.22 


28.75 


26.35 j 


28.64 i 26.47 


39 


40 
41 


29.73 


26.77 


29.61 


26.89 


29.49 


27.02 1 


29.37! 27.15 


40 


30.47 


27.43 


30.35 


27.57 


30.23 


27.70 


30.11 27.83 


41 


42 


31.21 


28.10 


31.09 


28.24 


30.97 


28.37 


30.84 


28.51 


42 


43 


31.96 


28.77 1 


31.83 


28.91 


31.70 


29.05 


31.58 


29.19 


43 


44 


32.70 


29.44 


32.57 


29.58 


32.44 


29.73 


32.31 


29.87 


44 


45 


33.44 


30.11 


33.31 


30.26 


33.18 


30.40 


33.04 


30.55 


45 


46 


34.18 


30.78 


34.05 


30.93 


33.91 


31.08 


33.78 


31.22 


46 


47 


34.93 


31.45 1 


34.79 


31.60 


34.65 


3r.75 


34.51 


31.90 


47 


48 


35.67 


32.12 


35.53 


32.27 


35.39 


32.43 


35.25 32.58 1 


48 


49 


36.41 


32.79 


36.27 


32.95 


36.13 


33.10 


35 . 98 


33.26 


49 


50 


37.16 


33.46 


37.01 


33.62 


^.86 


33.78 


36.72 


.33.94 


50 




Dep. 


Lat. 


Dep. 


Lat 


Dep. 


Lat. 


Dep. 


Lat. 


1 


48 Deg. 


1 
471 Deg. 


47^ Deg. 


47i Deg. 



TKAVEKSE TABLE. 



87 



5' 
51 


42 Deg. 


m Deg. 


42i Deg. 


42| Deg. 


~5l 


Lat. 


Dep. 


Lat. 


Dep. 

34.29 


Lat. 


Dep. 


Lat. 


Dep. 


37.90 


34.13 


37.75 


37.60 


34.46 


37.45 


34.62 


52 


38.64 


34.79 


38.49 


34.96 


38.34 


35.13 


38.18 


35.30 


52 


53 


39.39 


35.46 


39.23 


35.64 


39.08 


35.81 


38.92 


35.98 


53 


54 


40.13 


36.13 


39.97 


36.31 


39.81 


36.48 


39.65 


36.66 


54. 


55 


40.87 


36.80 


40.71 


36.98 


40.55 


37.16 


40.39 


37.33 


55 


56 


41.62 


37.47 


41.45 


37.65 


41.29 


37.83 


41.12 


38.01 


56 


57 


42.36 


38.14 


42.19 


38.32 


42.02 


38.51 


41.86 


38.69 


57 


58 


43.10 


38.81 


42.93 


39.00 


42.76 


39.18 


42.59 


39.37 


58 


59 


43.85 


39.48 


43.67 


39.67 


43.. 50 


39.86 


43.32 


40.05 


59 


60 


44.59 


40.15 


44.41 


40.34 


44.24 


40.. 54 


44.06 


40.73 


60 
61 


45.. 33 


40.82 


45.15 


41.01 


44.97 


41.21 


44.79 


41.41 


62 


46.07 


41.49 


45.89 


41.69 


45.71 


41.89 '45.53 


42.09 


62 


63 


46.82 


42.16 


46.63 


42.36 146.45 


42., 56 146.26 


42.76 


63 


64 


47.56 


42.82 


47.37 


43.03 147.19 


43.24 ; 47.00 


43.44 


64 


65 


48.30 


43.49 


48.11 


43.70 47.92 


43.91 47.73 


44.12 


65 


66 


49.05 


44.16 


48.85 


44.38 : 48.66 


44., 59 148.47 


44.80 


66 


67 


49.79 


44.83 


49.59 


45.05 49.40 


45.26 49.20 


45.48 


67 


68 


50.53 


45.50 


50.33 


45.72 50.13 145.94 49.93 


46.16 


68 


69 


51 .28 


46.17 


51.07 


46.39 50.87 146.62 50.67 


46.84 


69 


70 
71 


52.02 

52.76 


46.84 


51.82 


47.07 
47.74 


51.61 1 47.29 51.40 


47.52 


70 

71 


47.51 


52.56 


52.35 


47.97 .52.14 


48.19 


72 


53.51 


48.18 ' 53.30 


43.41 .53.08 


48.64 .52.87 


48.87 


72 


73 


54.25 


48.85 54.04 


49.08 ,53.82 


49.^2 53.61 


49.-55 


73 


74 


54.99 


49.52 


54.78 


49.76 j 54.56 i 49.99 ■ 54.34 


50.23 


74 


75 


55.74 


50.18 


55.52 


50.43 ' 55.30 | 50.67 


1 55.07 


50.91 


75 


76 


56.48 


50.85 


56.26 


51.10 1 56.03 ! 51.34 


55.81 


51.59 


76 


77 


57.22 


51.52 


57 . 00 


51.77 56.77 .52.02 


56.54 


,52.27 


77 


78 


57.97 


52.19 


57.74 


52.44 i 57.51 52.70 


57.28 


52.95 


78 


79 


53.71 


52.86 


58.48 


53. 12 : 58.24 53.37 


58.01 


53.63 


79 


80 
81 


59.45 
00.19 


53.53 


59.22 


53.79 ij .58.98 | .54.05 
54.46 !, ,59.72 154.72 


58.75 


54.30 


80 
81 


54.20 


59.96 


.59.48 


54.98 


82 


60.94 


54. S 7 


60.70 


55.13 !, 60.46 55.40 


60.21 


.55.66 


82 


83 


61. 6S 


55.54 


61.44 


55.81 i|61.19 156.07 


60.95 


56.34 


83 


84 


62.42 


56.21 


62.18 


56.48 1 61.93 156.75 


61.68 


.57.02 


84 


85 


63.17 


56.88 


62.92 


57. 15!; 62.67 


57.43 


62.42 


57.70 


85 


86 


63.91 


57.55 


63.66 


57.82 J63.ll 


58.10 


63.15 


.58.38 


86 


87 


64.65 


58.21 


64.40 


53.50 


64.14 


.58.78 


63.89 


59.06 


87 


88 


65.40 58.88 1 


65.14 


59.17 


64.88 


59.45 


64.62 


59.73 


83 


89 


66.14 


59.55 


65. 8S 


59.84 


65.62 


60.13 


65.35 


60.41 


89 


90 
91 


66.88 


60.22 
60.39 


66.62 


60.51 


66.35 60.80 


66.09 


61.09 


90 

91 


67.63 


67.36 


61.19 


67.09 61.48 


66.82 


61.77 


92 


*.S.37 


61.56 


68.10 


61.86 


67.83 62.15 


67.56 


62.45 


92 


93 


69.11 


62.23 


68.84 


62.. 53 1 


88.57 


62.83 


68.29 


63.13 


93 


94 


69.86 


62.90 


69.. 58 


63.20, 


69.30 


63.51 


69.03 


63.81 


94 


95 


70.60 


63.57 


70.. 32 


63.87 


70.04 


64.18 


69.76 


64.49 


95 


96 


71.. 34 


64.24 


71.06 


64.55 


70.78 


64.86 


70.49 


65.16 


96 


97 


72.08 


64.91 


71.80 


65.22 


71., 52 


65.53 


71.23 


65.84 


97 


98 


72.83 


65.57 


72.54 


65.89 


72.25 


66.21 


71.96 


66.52 


98 


99 


73.57 


66.24 


73.28 


66., 56 


72.99 


66.88 


72.70 


67.20 


99 


100 

1 


74.31 


66.91 


74.02 


67.24 
Lat. 


73.73 


67.56 


73.43 


67.88 
Lat. 


100 

5 


Dep. 


Lat. 


Dep. 


Dep. 


Lat. 


Dep. 


48 Deg. 


47| Deg. 


47h Deg 


474 Deg. 



ss 






TEATT-FSi: ^AELT. 










g 

« i 

f ^ 
~1 


^De^. 


^Deg. j 


43^D€^. ; 


! 
434 Deg. 


2 




Lat. 


D^p 


Lat 


Dep 


Lit. j Dep. ■' 


Lit Dep. ' 




*>.r3 


0.68 


0.73 


0.39 ! 


0.73! 0.6& 


0.72 0.691 


1 




2 


1.4S 


i.36 


1.46 


I..t7 i 


1.45! 1.3^: 


1.44! 1.38 1 


2 




3 


2.19 


2.05 


2.19 


2.06 


2,18 


2.07! 


2.17 


2.07 


3 




4 


2-93 


2.73 


2.9i 


2.74 


2.90 


2.751 


2.89 


2.77 


4 




5 


3.6S 


3.41 ; 


3.64 


3.43 


3.63 


3.44 1 


3.61 


3.46 5| 




6 


4.39 


4.09 


4.^J 


4.11 


4.35 


4.13} 


4.33 


4.15 6 




7 


5.L2 


4.7-7 ' 


5.1^ 


4. SO 1 


5.08 


4.82 [ 


5.06i 4.84[ 71 




8 


5.S5 


3.48 


5.83 


5.4^' 


5.80 1 5.51; 


5.78i 5.53 8 




9 


6.5S 6.14' 6.^3 


5.17"; 

■ 6.S5 ; 


6.33! 6.2*> j 6.50 6.22! 9 




I i 


7.31 6.8> 

' 8.041 i.oki 


7.2s 


7.25 1 6.88 ! 7.22 6 92 i 10 




8.0: 


7.54 i 


7.99 ! 7.57 1 7.95' 7.61 ' li 




it 


S.T%[ S.IS\ 8.74 


8.^.2 1 


8.70 1 8.26 1 8.671 8.30! 12 




13 


9.5!" J*,^ ' 9.4''''' ?.^?i 


9.43 ^ in 9.391 8.99. 13 




£4 


- ' 


: . .>.ii! 9.68 14 




Ir 




.84 10.37 15 




io 


,_._ . . . : : 


11.56 n.06| 16 




17 


i;2.43 1 ii.aaf 1 tA.b.3 i tt.-ia 


13.06 ' 12.39 13.00 12.45 i IS 




i* 


13.16 1 12.23 [ I3.ii! 12.33 




19 


13.90! 12.36 13. S4 ' : 


:7 S' i3.08 ; 13.72 13.14 19 




20 


i4.a3 13.64 


14.. f 

15.3J 




.. - 13.17 


14. io 13.83 2i) 




*1 


\ 15. 3o i4.32 


■ _ ^ ;; ^ 


15. :7 14.52 2i 




^ 


16.09 \ 15. CW 1 S.&i i i5.vj*7 


it5.!i*6U5.t4 13.89 15.21 22| 




23 


; W.S% I0..53 15.7.S i, iS.TS 


116.68 


15.83 1 16. 6t 15.90; 23 




24 


17.5.5-; 1^.37 . 17.4- -^ i-': 


♦7.41 


16. .52 17. M 16.60 24 




->5 


ts.2j*l 17.0.5:1 IS., -" - ; 


3.13; 17.21 1 13.06 17.29; 25 




2o 


19.02 17.73 


18. r. - 


:5.*'5 ' 17.?K> '' l^.T? !7.9S 29 




27 


19.75 [ l*.4i 


19.^ 


- - - ; - , . - - ^ -^ ^ 




2S 


20. 4S 19.10 


20..:: 


; , ■ : ' 




29 


21.21 1 id. 78 


2:l._, .:.:: 


, . ^ - ^ _ ; - _' : -- " , : , :* 




30 


2L.M'2d.46 


21 .^a 
; 22.. 5S 


.t *^-^^ 


; 2i.70 j 2«>.65 ,1 i.i..^>7 2a.*.>| 30 




22.57 ' 2i.L4 


'2!. 24 


i 2-? t9 2' . ?4 22 . 3** 21 .44 [ 3! 




y ;_ 


- ,_.*2|23.S ,. -: 


; 22.13' 32 






. - ,: 51 24..- , 


. 22.82 .33 




S^ 


_..: , a. it:; 24.7: -. 


_. - ^ . ^ ^3,-:' ^ 




35 


%.3.d*J . -3.S7 '1 ',5.^ - 


,3 . -ist r i'* - '■ 




36 


1 ^^.a3 24.55 ^o.\. 


^6.11124 




3* 


.- - , : ,- - .-^ - .-^ - ; : 


~" -^4 25.^; ^- . ^-. -' . -^ ->r 




3- 




26.16 27.45 26.28 38 








-^ 26.85 ■28.17: 28.97! 39 




40 


. -,^ . i 3 - ~ ■ - 7 - _ 


r. 1 27.53 28.^9 27.66 40 




1 2^.^^ ^V - . - . - - - 


:>9.74:28.22 ^19.^2: 28.35: 41 




in 


• r^f . 72 ' '^'^ . O-k o<-' . •" - 


:- 1- -^ -^ ■^"- n' 29.04: 42 




i3 


1 31.45 .:^.33|3i.S. ; .^ 


29.74' 43 




44 


► ^^ _ T ^ -•>,■:_ ^, .! ^^■^_.; ■ : 


30.43 44 






' ' T " : ' ^ 


31.12 i 45 




T_ 




31.81 ' 46 




i; 




32.50 47 




- .T4;i ^^-A.; 


34:..*2 j -^-^.^ . ^.67 , 33.19 j 48 






; . :3.42 


35. 


:i5.54, 33.T3 3-5.40 -33.88 


49 




.y> 


.5-.. 5 7 34.10 


; 36.4.:. , o-z: . -V 


36.37 1 34.42 j 33 . 12 ! 34.58 


!50 




1 

i 


1 l>ep. 


iL.. 


1 ri^p. \ Lat. 


Dep- 


Sl.. 


Oep. Lat. 


1 




! 


1 


;' 








47 C»e2. 1 461 Deg. 


; 464 Def 


464Deg. |E 





TK A VERSE TABLE. 



89 



1 

51 


1 

43 Deg. 


43i Deg. 


43A Deg. 


431 Deg. 


E 
1 

51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


37.30 


34.78 


37.15 


.34.94 


36.99 


35.11 


36.84 


35.27 


52 


38.03 


35.46 


37.88 i 35.63 


37.72 


35.79 


37.56 


35.96 


52 


53 


38.76 


36.15 


38.60 i 36.31 


38.44 


36.48 


38.29 


.36.65 


63 


54 


39.49 


3G.83 


39.33 


37.00 


39.17 


37.17 


39.01 


37.34 


64 


55 


40.22 


37.51 


40.06 


37.69 


39.90 


37.86 


39.73 


38.03 


55 


56 


40.96 


38.19 


40.79 


38.37 


40.62 


38.55 


40.45 


38.72 


66 


57 


41.69 


38.87 


4i..52 


39.06 


41.35 


39.21 


41.17 


39.42 


57 


58 


42.42 


39.56 


42.25 


39.74 


42.07 


39.92 


41.90 


40.11 


68 


59 


43.15 


40.24 


•42.97 


40.43 


4:j.80 


40.61 


42.62 


40.80 


69 


60 
61 


43. SS 


40.92 


43.70 


141.11 


43.. 52 


41.30 
41.99 


43.34 
44.06 


41.49 


60 
61 


44.61 


41.60 


44.43 


41.80 


44 . 25 


42.18 


62 


45 . 34 


42 . 28 


45.16 142.48 


44.97 


42.68 


44.79 


42.87 


62 


63 


46.08 


42.97 


45.89 


43.17 


45.70 


43.37 


45.51 


43.57 


63 


64 


46.81 


43.65 


46.62 


43.85 


46.42 


44.05 


46.23 


44.26 


64 


65 


47-. 54 


44.33 


47.34 


44.. 54 


47.15 


44.74 


46.95 


44.95 


65 


66 


48.27 


45.01 


48.07 145.22 


147.87 


45.43 


47.68 


45.64 


66 


67 


49.00 


45.69 


48.80 


45.91 


48.60 


46.12 


48.40 


46.33 


67 


68 


49.73 


46.38 


49.53 


46.59 


49.33 


46.81 


49. i2 


47.02 


68 


69 


.50.46 


47.06 


50.26 


47.28 


,50.05 


47.50 


49.84 


47.71 


69 


70 

71 


51.19 
.51.93 


47.74 

48.42 


.50.99 


47.96 I 50.78 
4S.65 ; 51.50 


48.18 


.50.57 
51.29 


48.41 


70 
71 


51.71 


48.87 


49.10 


72 


52.66 


49.10 


52.44 


49.33 52.23 


49.56 1 62.01 


49.79 


72 


73 


.53.. 39 


49.79 


i 53.17 


50.02 52.95 


50.25 


52.73 

! .53.45 


50.48 


73 


74 


54.12 


.50.47 


153.90 


50.70 53.68 


50.94 


51.17 


74 


75 


54.85 


51.15 


154.33 


51.39 54.40 


51.63 


54. 18 


51.86 


75 


76 


55 . 68 


51.83 


55.36 


52.07 55.13 


52.31 


54.90 
55.62 


52.55 


76 


77 


56.31 


52.51 


56.08 


52.76 , 55.85 


53.00 


53.25 


77 


78 


57.05 


53.20 


i 56.81 


53.44 


56.58 


53.69 


56.34 


53.94 


78 


79 


.57.78 


53.88 


! 57.54 


54.13 


.57.30 


54.38 


1 57.01 


54.63 


79 


SO 


68.51 
59.24 


54.56 


1 58 . 27 


54.81 
55.50 


58.03 
58.76 


55.07 
55.76 


57.79 
58.51 


55.32 


8'« 
8J 


55.24 


159.00 


56. Oi 


•i2 


59.97 


55.92 


.59.73 


.56.18 


69.48 


56.45 


59.23 


56.70 


82 


S3 


60.70 


.56.61 


60.45 


.56.87 


60.21 


57.13 


.59.96 


57.40 


8-: 


84 


61.43 


57.29 


61.18 


57.56 


60.93 


57.82 


60.68 


68.09 


8o 


85 


62.17 


57.97 


61.91 


58.24 


61.66 


58.51 


61.40 


58 . 78 


8 


86 


62.90 


58.65 


62.64 


58.93 


62.-38 


59.20 


62.12 


59.47 


Sr. 


87 


63.63 


.59.33 


63.37 


59.61 


63.11 


59.89 


62.85 


60.16 


87 


S8 


64.36 


60.02 


64.10 


60.39 


63.83 


60.. 58 


63.57 


60.85 


8r 


89 


65.09 


60.70 


64.82 


60.98 


64.56 


61.26 


64.29 


61.54 


89 


90 
91 


65.82 
66.55 


61.38 
62.06 


65 . 55 


61.67 


65.28 
66.01 


61.95 


65.01 
65.74 


62.24 
62.93 


90 

91 


66.28 


62.35 


62.64 1 


92 


67.28 


62.74 


67.01 


63.04 


60 . 73 


63.33 1 


66.46 


63.62 


9£ 


93 


68.02 


63.43 


67.74 


63.72 


67.46 


64.02 


67.18 


64.31 


9? 


94 


68.75 


64.11 


68.47 


64.41 


68.19 64.71 1 


67.90 


65.00 


9^* 


95 


69.48 


64.79 


69.20 


65.09 


68.91 


65.39 


68.62 


65.69 


9r. 


96 


70.21 


65.47 


69.92 


65.78 


69.64 


66.08 


69.35 


66.39 


96 


97 


70.94 


66.15 


70.65 


66.46 


70 . 36 


66.77 


70.07 


67.08 


97 


98 


71.67 66.84i 


71.37 


67.15 


71.09 


67.46 


70.79 


67.77 


9'cl 


99 


72.40 


67.52 


72.11 


67.83 


71.81 


68.15 


71.51 


68.46 


99 


100 

5 


73.14 


68.20 


72.84 


68.52 


72.54 


68.84 


72.24 
Dep. 


69.15 
Lat. 


_100 

i 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


47 Deg. 


461 Deg. 


464 Deg. 


46:1 Deg. 



90 



TBAVEESE TABLE, 



o 

i 

1 


44 Deg. 


44i Deg. 


44^ Deg. 


441 Deg. 


45 Deg. 


c 

ST 

9 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 
0.70 


Lat. 


Dep. 


Lat. 


Dep. 


0.72 


0.69 


0.72 


0.70 


0.71 


0.71 


0.71 


0.71 


0.71 


1 


2 


1.44 


1.39 


1.43 


1.40 


1.43 


1.40 


1.42 


1.41 


1.41 


1.41 


2 


3 


2.16 


2.08 


2.15 


2.09 


2.14 


2.10 


2.13 


2.11 


2.12 


2.12 


3 


4 


2.88 


2.78 


2.87 


2.79 


2.85 


2.80 


2.84 


2.82 


2.83 


2.83 


4 


5 


3.60 


3.47 


3.58 


3.49 


3.57 


3.50 


3.55 


3.52 


3.54 


3.54 


5 


6 


4.32 


4.17 


4.30 


4.19 


4.28 


4.21 


4.26 


4.22 


4.24 


4.24 


6 


7 


5.04 


4.86 


5.01 


4.88 


4.99 


4.91 


4.97 


4.93 


4.95 


4.95 


/ 


8 


5.75 


5.56 


5.73 


5.58 


5.71 


5.61 


5.68 


5.63 


5.66 


5.66 


8 


9 


6.47 


6.25 


6.45 


6.28 


6.42 


6.31 


6.39 


6.34 


6.36 


6.36 


9 


10 


7.19 


6.95 


7.16 

7. '88 


6.98 


7.13 


7.01 
7.71 


7.10 


7.04 


7.07 


7.07 


10 
11 


11 


7.91 


7.64 


7.68 


7.85 


7.81 


7.74 


7.78 


7.78 


12 


8.63 


8.34 


8.60 


8.37 


8.56 


8.41 


8.52 


8.45 


8.49 


8.49 


12 


13 


9.35 


9.03 


9.31 


9.07 


9.27 


9.11 


9.23 


9.15 


9.19 


9.19 


13 


14 


10.07 


9.73 


10.03 


9.77 


9.99 


9.81 


9.94 


9.86 


9.90 


9.90 


14 


15 


10.79 


10.42 


10.74 


10.47 


10.70 


10.51 


10.65 


10.56 


10.61 


10.61 


15 


16 


11.51 


11.11 


11.46 


11.16 


11.41 


11.21 


11.36 


11.26 


11.31 


11.31 


16 


17 


12.23 


11.81 


12.18 


11.86 


12.13 


11.92 


12.07 


11.97 


12.02 


12.02 


17 


18 


12.95 


12.50 


12.89 


12.56 


12.84 


12.62 


12.78 


12.67 


12.73 


12.73 18 I 


19 


13.67 


13.20 


13.61 


13.26 


13.. 55 


13.32 113.49 


13.38 


13.43 


i;^43 

14.14 


19 


20 14.39 


13.89 


14.33 
15.04 


13.96 


14.26 


14.02 


.14.20 
14.91 


14.08 


14.14 
14.85 


20 

21 


21 


15.11 


14.. 59 


14.65 


14.98 


14.72 


14.78 


14.85 


22 


15.83 


15.28 


15.76 


15.35 


15.69 


15.42 15.62 


15.49 


15.56 


15.. 56 


22 


23 


16.. 54 


15.98 


16.47 


16.05 


16.40 


16.12 16.33 


16.19 


16.26 


16.26 


23 


24 


17.26 


16.671 


17.19 


16.75 


17.12 


16.82 17.04 


16.90 


16.97 


16.97 


24 


25 


17.98 


17.37!ll7.91 


17.44 


17.83 


17.52 17.75 


17.60 


17.68 


17.68 


25 


26 


18.70 


18.06: 18.62 


18.14 


18.54 


18.22 18.46 


18.30 


18.38 


18.38 


26 


27 


19.42 


18.7649.34 


18.84 


19.26 


18.92 19.17 


19.01 


19.09 


19.09 


27 


28 


20.14 


19.45 


20.06 


19.54 


19.97 


19.63 19.89 


19.71 


19.80 


19.80 


28 


29 


20.86 


20.15 


20.77 


20.24 


20.68 


20.33 20.60 


20.42 


20.51 


20.51 


29 


30 


21.58 


20.84 


21.49 


20.93 


21.40 


21.03 
21.73 


21.31 


21.12 


21.21 


21.21 
21.92 


30 
31 


31 


22.30 


21.53 


22.21 


21.63 


22.11 


22.02'21.82 


121.92 


3'?, 


23.02 


22.23 


22.92 


22.33 


22.82 


22.43 22.73 


22.53 


122.63 


22.63 


32 


33 


23.74 


22.92 


23.64 


23.03 


23.54 


23.13 23.44 


23.23 23.33 


23.33 


33 


34 


24.46 


23.62 


24.35 


23.72 


24 . 25 


23.83 24.15 


23.94 24.04 


24.04134 


35 


25.18 


24.31 


25.07 


24.42 


24.96 


24.53 24.86 


24.64 24.75 


24.75135 


36 


25.90 


25.01 


25.79 


25.12 


25.68 


25.23 25.57 


25. 341! 25. 46 


25.46 36 


37 


26.62 


25.70 


26.. 50 


25.82 


26.39 


25.93 26.28 


26.05 


26.16 


26.16 37 


38 


27.33i26.40 


27.22 


26.52 


27. JO 


26.63 26.99 


26.75 


26.87 


26.87 38 


39 


28.05 


27.09 


27.94 


27.21 


27.82 


27.34 27.70 


27.46 


27.58 


27.58139 


40 

41 


28.77 
29.49 


27.79 


28.65 


27.91 


28 . 53 


28.04 


28.41 
29.12 


28.16 
28.86 


28.28 


28.28 40 
128,9941 


28.48 


29.37 


28.61 


29.24 


28. 74 


128.99 


42 


130.21 


29.18 


30.08 


29.31 


29.96 


29. 4 29.83 


29.57 


129.70129.70142 1 


43 


130.93 


29.87 


30 . 80 


30.00 


30 . 67 


30. 4 30.54 


30.27jj30.41 


30.41 


43 


44 


31.65 


30.56 


31.52 


30.70 


31.38 


30. H4 31.25 


30.98 31.11 

3l.68ll31.82 


31.11 


44 


45 


32.37 


31.26 


32.2.^ 


31.40 


32.10 


31. r4 31.96 


31. 8S 


l45 


46 


33.09 


31.95 


32. 9S 


32.10 


32.81 


32. '.4 32.67 


32. 38i|32. 53132. 53i46 


47 


33.81 


32.65 


33.67 


32.80 


33.. 52 


32.^4 33.38 


33.09 33. 23;33. 23,47 


4H 


34.53 


33.34 


34.3? 


33.49 


34.24 


33.fi4 34.09 


33.79 


,33.94 33.94 48 


49 


135.2.'= 


34.04 


3d.lC 


34.19 


.34.95 


34.:^4 34.8C 


34.50 


34.65 34,65149 1 


50|35.9'/ 


'34.73 


35.85 


►34.89 


35.66 
Dep. 


35.05|,35.51 


35.20 


35.36 35. 3f 


5 50 


6 

o 
c 
S 


Uep. 


Lat. 


Den. 1 Lat. 


Lat. 


Dep. 


Lat. 


Dep. 1 Lat. 


i 




i 46 Tleg 


i 

45 f Deg. 


1 

.5; Deg. 


4Si 


Deg. 


45 Deg. 



TRAVEBSE TABLE. 



91 




A TiBLE OF XATURAL SIXES. 



'■) L>e-, 



1 Uey. 



Dez. 



Nil. >. Co-s N-:. ^V. Cg- 
M ?i~e Si-e n Si^^ sine 

0*}-ji» Cnit, 



■45 999S5'0S-; 






Uej. 


>i-. 


\ r -- 


---■- 


■^ - 




-- - • ' 









4 L^ez- 






y^_ 


N. C> 




- ---r 


; SLjae 


M 


~« 


QOTn-? 


«0 


■ - 


,-. - - 




34 






' > 




>4., 


.S6 




-746 


55 




744 -54 




4-:: 


.>3 




•"" 


i'* 


?2 



:io 4-5 
"23 44 
2143 

-1942 

rL^4t 

:I4;40 
1239 













1.) 










• i 












-5 


^ - : ■ - ' ; : , 










13 

_ - ; I 

6 

5 


j "fins' Stir 


. ;-;:'?l 


99940 

Na:. 


0.:,..., 


— . 7 


• - " 2 
7S ; 99t?22 T 

■ Co- ' Na:. yi 


i 69 De?. 


•:■: T'-r, 


■' D-z- 


:-: ^^r- 


75Deg. : 



A TABLE OF T^^ATUKAL fil^ES. 



93 



M N. S. I N. CS. 



5 Deg. 



037161 

08745 1 
08774 
08803 
08831 
0S860 
08889 
08918 
08947 
08976 
09005 
09034 

ogoG?" 

09092 
09121 
09150 

16109179 
17109208 
18109237 
19 09268 
20109295 
21J09324 
22 1 09353 
23:09382 



99619 
99617 
99614 
99612 
99609 
99607 
99604 
99602 
99599 
99596 
99594 
99591 
99588 
99586 
99583 
99580 



6 Deg. 



09411 
09440 
09469 
09498 
09527 
09556 
09585 



09614 
09642 
•)9671 
09700 
097?;" 
09758 
09787 
09316 
09S45 
09874 
09903 
09932 
09961 
09990 
.10019 



99578: 
99575 
995721 
995701 
99567! 
y9ob4 
99562 
99559 
99556 
99553 
99551 
99548 
99545 
99542 
99540 



99537 
99534 
99531 
99528 
99526 
99523 
99520 
99517 
99514 
99511 
99508i 
995061 
99503 
99500 
99497 



N.S . 
10453 
10482 
10511 
10540 
10569 
10597 
10626 
10655 
10684 
10713 
10742 
10771 
10800 
10829 
10858 
1088 7 
10916 
10945 
10973 
11002 
li03i 
11060 
11089 
11118 
11147 
11176 
11205 
11234 
11263 
11291 
1132 

11349 
11378 
11407 
11436 
11465 
11494 
116-^3 
11552 
11580 
11609 
11638 
11667 
11696 
11725 
11754 



CS. 



99^02 
99399 
99396 
99393 
99390 
99086 
99383 
99380 
99377 
99374 
99370 
99367 
99364 
99360 
99357 
99354 
99351 
99347 
99344 
99341 
99337 

9334 
99331 
99327 
99324 
89320 
99S17 

^9314 
99310 
99307 



N. CS. N. S. 



Dei 



8 Deg. 



N.S. 



12187 
12216 
12245 
12274 
12302 
12331 
12360 
12389 
12418 
12447 
12476 
12504 
12533 
12562 
12591 
12620 



N. CS . : 

99255 

99251 

99248 

99244 

99240 14033 

99237l|14061 

992331114090 

99230114119 

99226|14148 

99222 114177 



99219 
99215 
99211 
99208 



14205 
14234 
14263 
14292 



99204 114320 
99200 114349 



12649 99197 

12678;99193 
12706 99189 



12735 
12764 
12793 

12861 
12880 
12908 
13937 
12966 
12995 
13024 
13053 



)9303 

99300 

99297 

99293 

99290 

99286 

99283 

99279 

99276 

99272 

99269 

99265 

99262 

99258 

N.CS. 1 N.S. |!N. CS, 



99186 
99182 
99178 
99175 
99171 
99167 
99163 
99160 
99156 
99152 
99148 
99144' 



14378 
14407 
14436 
14464 
14493 
14522 
14551 
14580 
14608 
14637 
14666 
14695 
14723 
14752 
14781 



84 Deff. 



83 De^. 



82 Deg. 



14810 
14838 
14867 
14896 
14925 
14-954 
14982 
15011 
1 5040 
15069 
15097 
15126 
15155 
15184 
15212 
15241 
15270 
15292 
15327 
15356 
15385 
15414 
15442 
15471 
15500 
15529 
15557 
15586 
1561 5 
N. CS. 



N. CS. 
990271115643 
990231116672 
99019il57Cl 
990151 15730 
990111 15758 




98961 16103 

989571116132 

98953!il6i60 

98948il6189 

98944516218 

98940 116246 

98936 

98931 

98927 

98923 

98919 

98914 

98910 

98906 

98902 



98832 
98827 
98823 
98818 
98814 
98809 
98805 
98800 
98796 
98791 
98787 
98782 
98778 
98773 



N.S. 



81 Deg. 



98769 
98764 
98760 
98755 

98751 
98746 
98741 
98737 
98732 
98728 
98723 
98718 
98714 
98709 
9S704 
98700 



16620J98609 



16964 
16992 
17021 
17050 

17078 
17107 
17136 
17164 



N.CS. I N.S. 



80 i)eg. 



?4 



A r.*ELE CF ^ATVRJlL Sl^Ei 



I lU ue^. 



11 De, 



13 Der. 



U Der 



M' N 5 



N c* xs ; 



14: 17766 »h4a»9 1&4^?- 
15 i77M&>4i>4 19-5"3 



5«.l ^ 

51 
5- 1^ 

53 :^ 

54 -^ 



N. < N. Ojj. 



74.X' 2413' r 
7444 -24. f _ 






-^ Dez- 



A TABLE OF ?«ATURAL SINES. 



95 



15 Deg. 



25882 
25910 
25938 
25966 
25994 
26022 
26050 
26079 
26107 
26135 



96593 

96585 
96578 
96570 
96562 
96556 
96547 
96540 
96532 
96524 
26163 96517 



26191 



122621! 



26R47 
26275 
26303 



96509 
96502 
96494 
96486 
96479 



16|26331 9647] 
17,28359196463 
18;26387!96456 
19|26415i96448 

20 28443196440 

21 26471196433 

22 26500! 96425 



26528! 964 17 
2655698410 
2658496402 
26612 96394 
2664096386 
28|26668|96379 
29 26696 96371 



30 26724 



96363 



31126752 
32126780 
33 1 26808 
34| 26836 
3526864 
36126892 
37j26920 



16 Deg. 



N.S. 



27564 
27592 
27620 

27648 
27676 
27704 
27731 
27759 
27787 
27815 
27843 
27871 
27899 
27927 
27955 
27983 



28011 
28039 
28067 
28095 
28123 
28150 
28178 
28206 
28234 
28262 
28290 
28318 
28346 
28374 
128402 



N. CS . 

96126 

96118 

96110 

96102 

96094 

96086 

96078 

96070 

96062 

96054 

96046 

96037 

96029 

96021 

96013 

96005 

9599 

95989 

95981 

95972 

95964 

95956 

95948 

95940 

95931 

95923 

95915 

95907 

95898 

95390 

95882 



96355 
96347 
96340 
96332 
96324 
96316 
,96308 
38126948 96301 
39,26976 96293 
402700496285 
41127032 96277 
42:2706G!96269 

43 27088'96261 

44 27116;96253 
45127144196246 



46127172 96238 
47'27200 96230 
48; 27228 196222 
49i27256;96214 
50:27284 96206 
51127312 96198 

52 27340196190 

53 27368196182 
96174 
96166 
96158 
96150 
96142 
96134 

N. S. 



54:27396 
55127424 
56 27452 
67127480 
58 27508 
^927536 



28429 
28457 
28485 
28513 
28541 
28569 
28597 
28625 
28652 
28680 
28708 
28736 
28764 
28792 
28820 



17 



>eg. 



N.S. 



29237 
29265 
29293 
29321 
29348 
29376 
29404 
29432 
29460 
29487 
29515 
29543 
29671 
29599 
29626 
29654 



95630 
95622 
95613 
95605 
95596 
95588 
95579 
95571 
95562 
95654 
95545 
95536 
95528 
95619 
95511 
95502 



95874 
958651 
95857 
95849 
95841 
95832 
95824 
95816 
95807 
95799 
95791 
95782 
95774 
95766 
95757 



14 Deo-. 



128847 

,28875 

123903 

i2S93 

J28959 

I2S987 

'29015 

i29042 

129070 

129098 

129126 

29154 

;29182 

129209 



29682 
29710 
29737 
29765 
29793 
29821 
29849 
29876 
29904 
29932 
29960 
29987 
30015 
30043 
3 0071 
30098 
30126 
30154 
30182 
30209 
30237 
30265 
30292 
30320 
30348 
30376 
30403 
30431 
30459 
30486 



N.CS. 



95493 
95486 
95476 
95467 
95469 
95450 
95441 
95433 
95424 
95415 
95407 
95398 
95389 
95330 
95372 



95383 

95354 

95345 

95337 

9532 

95319 

95310 

9530 

95293 

955^4 

95275 

95266 

95257 

95248 

95240 



957491130514 

95740i;30542 

95732i30570 

95724,3059 

95715i!30625 

957071130653 



N. CS. 



95698 
95690 
95681 
95673 
95664 
95656 
95647 
956391 



30680 
30708 
30736 
30783 
30791 
30819 



95231 
95222 
95213 
95204 
95195 
95186 



18 Deg. 



19 Deg. 



31344 

31372 

31399 

31427 

31454 

31482 

31510 

3153 

31565 

31593 

31620 

31648 

31675 

31703 

31730 

31758 

31786 

31813 

31841 

31868 

31896 

31923 

3195 

31979 

32006 

32034 

32061 

32089 

32116 

32144 



N.CS. 



95106 
95097 
96088 
96079 
96070 
96061 
95052 
95043 
95033 
95024 
95015 
95006 
94997 
94988 
94979 
94970 



94961 
94952 
94943 
94933 
94924 
94915 
94906 
94897 
94888 
94878 
94869 
94860 
94851 
94842 
94832 



94823 
94814 
94805 
94795 
94786 
94777 
94768 
94758 
94749 
94740 
94730 
94721 
94712 
94702 
94693 



N.S. ' 

32557 
32584 
32612 
32639 
32667 
32694 
32722 
32749 
32777 
32804 
32832 
32859 
32887 
32914 
32942 
32969 



N.CS. 

94552 
94642 
94533 
94623 
94614 
94504 
94495 
94485 
94476 
94466 
94457 
94447 
94438 
94428 
94418 
94409 



32997 
33024 
33061 
33079 
33106 
33134 
33161 
33189 
33216 
33244 
33271 
33298 
33326 
33353 
33381 



32171 
32199 
32227 
322.54 
32282 
32309 



95177 32337 

96168 
95159! 
95150 
95142 
95133 



:J4884 

94874 

94665 

9465G 

94648 

94837 

94627 

32364 94618 

32392 :94609 

32419 94599 



N. 8. 



73 i^ecr. 



30846:95124 
30874 95115 

N. CS. I N.S. 
. 72 Deer. 



32447 
32474 
32602 
32529 

N. CS. I N. S, 



94'^90 
94580 
94571 
9456 1 



71 Dc 



33408 
33436 
33463 
33490 
33518 
33545 
33573 
33600 
33627 
33655 
33682 
33710 
33737 
33764 
33792 



94399 

94390 

94380 

94370 

94361 

94351 

94342 

94332 

94322 

94313 

94303 

94293 

94284132 

94274 31 

94264 30 



94254 
94245 
94235 
94225 
94215 
94206 
94196 
94186 
94176 
94167 
94157 
94147 
94137 
94127 
94118 



33819 
33846 
33874 
33901 
33929 
33956 
33983 
34011 
34038 
34065 
34093 
34120 
34147 
34175 



94108 
94098 
'94088 
194078 
194068 
94058 
; 94049 
94039 
94029 
94019 
94009 
93999 
93989 
93979 



27 

26 

25 

24 

23 

22 

21 

20 

19 

i^i 

17 

16 

15 

14 

13 

12 

11 

10 

9 

8 

7 

6 

5 

4 

3 

2 

1 



N.CS.! N.S. IM 



70 Df 



yti 



A TABLE OF TSATURAL SINES. 



20 Ueg. I 21 Deg. 
N. S. I N. CS. t 'NTiT I N. csT 

35837 193353 
35864193348 
35891 93337 



M[ 

G'34202'93969 

1,' 34229, 93959; 

2 34257 1 93949 

3:34284i93939 

4134311 93929' 

5134339:93919 

6|343G6, 93909 

7!34393'93S99 

8,34421 9388 9 

9134448 93879: 

10{34475 93869: 

11134503 93859! 

12134530 93849' 

13 34557 93839: 

14 34584.93829^ 
1513461293819 



ii2 Deo-. 



23 Deg. i 24 Deg. 



N.S. IN. CS. / N.S. IN. CS. j i\. S. 



359i8 
35945 
35973 
36000 
36027 
36054 



93327 
93316 
93306 
93295 
93285 
93274 



36081 {93264 
36108193253 
36135 93243 
36162ly3232 
36190193222 
36217 93211 
3624493201 



16134639 93809 
17134666:93799 
18134694:93789 
19|34721;93779 
20;34748|93769 
2l!34775i937o9 
22134803 93748 
23 34830 93738 
24134857 93728 
25,34^84' 937 IS 
26;349i'^ 93708 
27134939 93698 
28:34966 93688 
29134993 93677 

30 i 35021 93667 

31 i 35048 93657 

32 35075 93647 
33i35l02'93637 
34135130:93626 
35135157:93616 
36:35183 93606 
37 35211193596 
38 ,35239! 93585 
39:35266193575 

40 35293:93565 

41 35320 1 93555 

42 35347 93544 
43: 35375I 935.34 
4435402:93524 
45; 35429 93514 
46135456193503 
47 35484193493 
48i 3.551 1193483 
49:35538 93472 
50 1 35565 93462 
51 135592' 93452 
52!3.56l9i9344l 
53,35647:93431 
54! 35674 9.3420 
55135701 93410 
56! 35728 93400 
571357.55 93389 
58135782:93379 
59! 35810, 93368 
M"'; N. CS. i N. S. 

|~"69~De^. 



36271193190 
36298193180 
363::5|93169 



3635 

36379 

36406 

36434 

36461 



93159 
93148 
93137 
93127 
93116 



36488193106 
36515 93095 
36542:93084 
3656y{93074 
36596 93063 
36623 93052 
36650 j 93042 
36677193031 
36704|93020 
36731 93010 
3675S|92999 
36785192988 



368 1 2 
36839 
36867 
36894 
36921 
3694S 
36975 



92978 
92967 
92956 
92945 
92935 
92924 
9291 



37002 92902 
37029 ;92892 
37050192881 



37461 
i37488 
137515 
137542 
137569 
37595 
: 3782 2 
|37649 
137676 
37703 
37730 
37757 
37784 
37811 
37838 
37865 



: 927 IS 
192707 
192697 
192686 
192675 
192664 
i92653 
; 92642 
192631 
,92620 
,'92609 
(92598 
:9258? 
192576 
i92565 

[ 92554 

37892J 92543 
379l9l92.532 
37946192521 
37973192510 



37999 
38026 
38053 
3>080 
3? 107 
3M34 
.38161 
38188 
38215 
38241 
38268 



92499 
92488 
92477 
92466 
92455 
92444 
92432 
92421 
92410 
92399 
92388 



38295 
3S322 
138349, 
38376' 
3S403 
38430 
38456 
384S3! 
,38510. 
38537 
38564 
38591 
38617 
38644 
38671 



92377 
92366 
92355 
92343 
92332 
92321 
92310 
92299 
92287 
92276 
92265 
92254 
92243 
92231 
92220 



39073 
39100 
39127 
39153 
39180 
39207 
39234 
39260 
39287 
39314 
39341 
39367 
39394 
39421 
39448 
39474 
39501 
39528 
39555 
39581' 
39608i 
39635 
39661; 
39688 
39715; 
39741' 
39768 
39795- 
39822' 
39848 
39875 
39902 
39928 
399.55 
; 39982 
; 40008 
140035 
140062 
j 40088 
40115 
4014 
'40168 
40195 
40221 I 
40248' 
: 40275 




92059 
'92039 
:9202s 
! 920 16 
192005 
91994 
91982 
:91971 
|919.59 
91948 
'91936 
91925 
91914 
'91902 
J91891 
191879 
;91S68 
91856 
^91845^ 
'91833 
! 9 1822 
91810 
i91799 
91787 
91775 
91764 
91752 
91741 
91729 
91718 
91708 
91694 
91683 
91671 
91660 
91648 
91636 
91625 
91613 
91601 
91590 
9157 
91566 
91555 
91543 
91531 



40674 
40700 
40727 
40753 
40780 
40S06 
40833 
40860 
40886 
40913 
■40939 
40966 
40992 
41019 
41045 
41072 
4'l098 
41125 
41151' 
41178^ 
41204 
41231 
41257 
41284 
41310 
41337 
41363 
41390 
41416 
41443 
41469 



;NXS.|>£ 
9 1355 i 60 
9 1.343 1 59 
91331 |58 
91319 57 
91307i56 
91295155 
9 1283; 54 
91272 53 
91260 52 
91248 51 
91236(50 
91224:49 
91212:48 
91200 ' 
91188 4b 
91176 45 
91164 44 
91152 43 
9114042 
91128!4i 
91116140 
91104139 
91092:38 
91080:37 
91068 3b 
91056|35 
91044 34 
9 1032 33 
9 1020 '32 
91008|31 
90996130 



68 Deg. . 67 Peg 




A 1"A15L£ 01' NATURAL SINES. 



97 



Des. 



42262 9U631 
42288 90618 



2'42315 90606 
3142341 190594 
4'42367j90582 
5 42394! 90569 
90557 



90545 
90532 
90520 



6! 42420 

7.42446 

8 '42473 

9;42499 
10.42525!90507 
lli42552'90495 
12 42578190483 
13:42604190470 

14 4263l|90458 

15 42657 1 90446 

16 42683'90433 
17i42709'90421 
18;42736|90408 
19|42762!90396 
20 142788 190383 
21j42815i90371 

22 42841190358 

23 42867190346 
24142894 90334 
25142920 90321 
26142946190309 
27142972 90296 
28^42999190284 
29143025190271 
30,43051190259 



26 Deg. 



43837 
43863 
43889 
43916 
43942 
43968 
43994 
44020 
44046 
44072 
44098 
44124 
44151 
44177 
44203 
44229 



44255 
44281 
44307 
44333 
44359 
44*385 
44411 
44437 
44464 
44490 
44516 
44542 
44568 
44594 
44620 



31143077190246 
32,43 104190233 
33143130 90221 
34143156 90208 
35i43182!90l96 
36 43209190183 
37i43235'90l71 

38 4326li90l58 

39 43287190146 

40 43313!90133 
41143340190120 
42i43366|90l08 
43:43392190095 



44 43418 
45: 43445 
46:43471 
47143497 
48143523 
49143549 
50 '435 75 
51143602 
52143628 
53i43654 
54143680 
55;43706 
56143733 
57143759 
58 1 43785 
59 43811 
M N.CS. 



90082 
90070 



44646 
44672 
44698 
44724 
44750 
44776 
44802 
44828 
44854 
44880 
44908 
44932 
44958 
44984 
45010 



90057 
90045 
90032 
90019 
90007 
89994 
89981 
89968 
39956 
89943 
89930 
89918 
89905 
89892! 



N. S. 



64 D( 



I 
N. CS . i 

898791 

89867! 

89854 

89841 

89828 

89816 

S9803 

89790 

89777 

89764 

89752 

89739 

89726 

89713 

89700 

89687 

89674 

89662 

89649 

89636 

89623 

89610 

89597 

89584 

89571 

89558 

89545 

89532 

89519 

89506 

894931 

S9480 

894671 

89454! 

894411 

89428 { 

89415 

39402 1 

89389! 

89376! 



89101 

89087 
89074 
89061 
89048 
89035 
89021 
89008 
88995 
88981 
88968 
88955 
88942 
88928 
88915 
88902 



45036 
45062 
45088 
45114 
45140 
45166 
45192 
45218 
45243 
45269 
45295 
45321 
45347 
45373 



46201 

46226 

46252 

46278 

46304 

46330 

48355 

46381 

46407 
89363;|46433 
89350JI46458 
89337!i46484 
89324!!46510 
89311 ''46538 
892981: 46561 
8'9285[j46587 
8927214661 
89259J46639 
89245!|46664 
89232i|46690 
89219146716 
89206|i46742 
89193!i46767 
891801146793 
891671:46819 
89153:46844188349 
89140! 46870i88336 



N.CS. 



!28 Deg. 



N. 1 



N.CS. 



4694788295 

46973 88281 



46999 
47024 
47050 
47076 
47101 
47127 
47153 
47178 
47204 
47229 
47255 
47281 
47306 
47332 



47358 
47383 
47409 
47434 
47460 
47486 
47511 
47537 
47562 
47588 
47614 
47639 
47665 
47690 
47716 
47741 
47767 
47793 
47818 
47844 
47869 
S95 
47920 
47946 
47971 
47997 
48022 
48048 
48073 
48099 



N.CJ 



89127! 
89114 



46896188322 
46921188308 



N.CS. 1 N.i 
63 Deg-. li 62 De^ 



48124 
48150 

48175 
48201 
48226 
48252 



88267 
88254 
88240 
88226 
88213 
88199 
88185 
88172 
88158 
88144 
88130 
117 
88103 
88089 
88075 
88062 
88048 
88034 
88020 
88006 
87993 
87979 
87965 
87951 
87937 
87923 
87909 
87896 
87882 



29 Deg. 



N.S. iN. CS. !M 



87868 
87854! 
87840! 
87826' 
87812 
87798 
87784 
87770 
87756 
87743 
87729 
87715 
87701 
87687 
87673 



48481 
48506 
48532 
48557 
48583 
48608 
48634 
48659 
48884 
48710 
48735 
48761 
48786 
48811 
48837 
48862 



48888 
48913 
48938 
48964 
489S9 
49014 
49040 
49065 
49090 
49116 
49141 
49166 
49192 
49217 
49242 



87659 
87645 
87631 
87617 
87803 
87589 



49268 
49293 
49318 
49344 
49369 
49394 
49419 
49445 
49470 
49495 
49521 
49546 
49571 
49596 
49822 
49647 
49872 



87462 60 
87448,59 
8 743 i 58 
87420 57 
87406:56 
87391155 
87377154 
87363:53 
87349|52 
87335 51 
87321 50 
87306 '49 
87292'48 
87278147 
87264'46 
87250;45 
87235:44 
87221143 
87207:42 
8719341 
8717SJ40 
8716439 
8715038 
87136-37 
87121136 
87107:35 
87093 '34 
87079 33 
87064132 
8705031 
7036 30 
29 
28 
27 
26 



48277 87575 
4 8303 '87561 
48328187548 
48354187532 
48379 18751 8 
48405 18 7504 



48430 
48456 

N. cs: 



87490 
87476 



87021 

87007 

86993 

86978 

86964 25 

86949 

23 
22 
21 
20 
19 
18 
17 
16 



86935 
86921 
86906 

86892 
86878 
86863 
86849 
86834 
868201 15 



86805 
86791 



61 Dejr. 



4989786777 
49723:86762 
49748!86748!l0 
9 
8 
7 
6 
5 
4 
3 
2 
1 



4977386733 
49793,86719 
4982486704 
49849 86690 
49874 86675 
49899 86661 
49924, 8664f5 
49950 86632 
49975I86617 
N.CS. I N.S. 
60 Deg. 



98 



A T.\:bLE of NATUKAl* SINES. 



30 Di 



31 Deg 



33 Deg. 



N. CS, 



50000i86603 
50025186588 
50050 ! 865? 3 
50076186559 
50101186544 
50126J86530 
50151 86515 
50176:86501 
50201 186486 



50227 
50252 
50277 
50302 
50327 
50352 



86471 
86457 
86442 
86427 
86413 
86398 



50377186384 




34 Deg. 



N. S. I N. OS. 



!55919|82904 

;55943:82887 
155968182871 
155992182855 
J56016'82839 
'56040 82822 
|560648280& 
156088:82790 
156112 82773 
156136:82757 
i56l60|82741 
i56l84;82724 
'56208:82708 
:56232{82692 
156256 82675 
:5628082659 



50403| 86369 

50428186354 

504531 86340 

50478 86325 

50503 86310 

50528186295 

50553j86281 

50578186266 

50603:86251 

50628 86237 

50654 86222 

50679186207 

50704186192 

5072986178 

50754 | 86163 

50779186148 

50804 86133 

50829 

50854 

50879 

50904 

5092 

50954 

50979 

51004 



83276 
83260 
83244 
5^5436183228 
55460133212 
5548483195 
55509; 83 179 



840881 15558 lj83 131 
84072 !^55605l831 15 
84057,55630183098 
84041155654 83082 
84025 55678 183066 
84009 1 55702:83050 
83994 55726[83034 
83978 !>55750:83017 
83962155775183001 
839461 55799|82985 
839301:55823182969 
83915 1:55847|82953 
5441 5 183899 II55871 82936 
54440 '83883 '' 55895 82920 
IIN. CS. I N 



56305 
56329 
56353 
56377 
56401 
56425 



82643 
82626 
82610 
82593 
82577 
82561 



56449 82544 
56473j82528 
5649782511 
56521 82495 
56545 82478 
56569 82462 
5659382446 
56617 82429 
5664l|82413 
.56865182396 
!56689'82380 
{56713182363 
156736182347 
J5676082330 
'56784182314 



[56808 
|56832 
58B56 
56880 
56904 



82297 
82281 
82264 
82248 
82231 



:56928 82214 
!56952!82198 
;56976|82181 
15700082165 



i57024 
157047 
157071 
J57095 
:57li9 
;57143 
57167 
57191 
57215 
57238 
57262 
57286 
57310 
57334 



82143 14 
82132113 
182115 12 
'82098111 



32032 
82065 
82048 
82032 
820 1 5 
81999 
81982 
81965 
81949 
81932 



56 Deg. 



N. CS. I N. S . 
53 Deg.' 



A TABLE OF NATURAL SIKES. 



99 



35 Deg. 



N. S. 



57358 
57381 
57405 
57429J81865 



N. CS. 
81915 
81899 
81882 



57453 
57477 
57501 
57524 
57548 
57572 
57596 
57619 
57643 
57667 
57691 
57715 



16157738 
17157762 
18 57786 



57810 
57833 



81848 
81832 
81815 
81798 
81782 
81765 
81748 
81731 
81714 
81698 
81681 
81664 



81647 
1631 
81614 
81597 
81580 



57857i81563 
57881 81546 



81530 
81513 
81496 



57904 

57928 

;57952 

26|57976i8l479 
27157999 81462 
28'58023i8l445 
29158047:81428 
30158070 81412 



81395 
81378 
81361 



36 Deg. 



IV. s. 



58779 
58802 
58826 
58849 
58873 
58896 
58920 
58943 
58967 
58990 
59014 
59037 
59061 
59084 
59108 
59131 



59154 
59178 
59201 
59225 
59248 
59272 
59295 
59318 
159342 
59365 
59389 
59412 
59436 
59459 
59482 



3 1 158094 
32 58118 

3358141, 

34:58165 SI 344 
35J58189 S1327 
36158212 81310 
37158236 81293 
38 5826081276 
39:58283 81259 
40,58307181242 
4ii58330|81225 
42158354 81208 
43158378 81191 

44 58401181174 

45 58425 81157 



46 58449 
47i 58472 
48! 58496 

49 58519 

50 58543 
51|58567 
52158590 
53158614 

54 58637 

55 58661 

56 58684 
57158708 
58158731 
59 58755 



N.CS, 



81140 
81123 
81106 
81089 
81072 
81055 
81038 
81021 
81004 
80987 
80970 
80953 
80936 
80919 



N.8. 



54 Deg. 



59506 
59529 
59552 
59576 
59599 
59622 
59646 
59669 
59693 
59716 
59739 
59763 
59786 
59809 
59832 



N.CS. 
809021 
80885 
80867 
80850 
80833 
80816 
80799 
80782 
80765 
80748 
80730 
80713 
80696 
80679 
80662 
80644 



80627 
80610 
80593 
80576 
80558 
80541 
80524 
80507 
80489 
S0472 
80455 
80438 
80420 
80403 
S03S6! 



S03681 
S0351 
S0334 
80316 
80299 
80282 
80264 
80247 
80230 



37 Deg. 

n:s7~"n. CS. 



60182 
60205 
60228 
60251 
60274 
60298 
60321 
60344 
60367 
60390 
60414 
60437 
60460 
60483 
60506 
60529 



79864 
79846 
79829 
79811 
79793 
79776 
79758 
79741 
79723 
79706 
79688 
79671 
79653 
79635 
79618 
79600 



59856 
159879 
159902 
59926 
159949 
59972 80021 
59995 80003 
60019 79986 
60042 79968 
60065:79951 
60089 '79934 
60]12'79916 
60135 79899 
60 '58179881 



60553 
60576 
60599 
60622 
60645 
60668 
60691 
60714 
60738 
60761 
60784 
60807 
60830 
60853 
60876 

60899 
60922 
60945 
60968 
60991 
61015 
61038 
61061 
61084 
80212l|61107 
80195 61130 
80178,161153 
80160!!61176 
801431:61199 
80l25 !i61222 
80l08j 
80091i 
800731 
80056 
80038 



[61245 
1 6 1268 
161291 
,61314 
161337 
161360 



79583 
79565 
79547 
79530 
79512 
79494 
79477 
79459 
79441 
79424 
79406 
79388 
79371 
79353 
79235 
79318 
79300 
79282 
79264 
79247 
79229 
79211 
79193 
79176 
79158 
79140 
79122 
79105 
79087 
79069 



61566 
61589 
61612 
61635 
61658 
61681 
61704 
61726 
61749 
61772 
61795 
61818 
61841 
61864 
1887 
61909 



79051 
79033 
79015 
78998 
78980 
78962 



3ii Deg. 



N.S. 



61383 78944 
61406 78926 
:61429'78908 
161451 78891 
''6147478873 
61497,78855 
ii6l52078837 
1161543 78819 



61932 
61955 
61978 
62001 
62024 
62046 
62069 
62092 
62115 
62138 
62160 
62183 
62206 
62229 
6225 L 

62274 

62297 

62320 

62342 

62365 

62388 

6241 

62433 

62456 

62479 

62502 

62524 

62547 

62570 

62592 



62615 
62638 
fi2660 
62683 



N.CS. 



78801 
78783 
78765 
78747 
78729 
78711 
78694 
78676 
78658 
78640 
78622 
78604 
78586 
78568 
78550 
78532 



78514 
78496 
78478 
78460 
78442 
78424 
78405 
78387 
78369 
78351 
78333 
78315 
78297 
78279 
7 8261 
78243 
78225 
78206 
78188 
78170 
78152 
78134 
78116 
78098 
78079 
78061 
78043 
78025 
78007 
77988 



39 Deg. 

N.S. IN.CS. M 



62932 
62955 
62977 
63000 
63022 
63045 
63068 
63090 
63113 
63135 
63158 
63180 
63203 
63225 
63248 
63271 
63293 
63316 
63338 
63361 
63383 
63406 
63428 
63451 
63473 
6^496 
63518 
63540 
63563 
63585 
63608 



63630 
63653 
63675 
63698 
63720 
63742 
63765 
63787 
63810 
63832 
63854 
63877 
63899 
63922 
63944 



77970 
77952 
77934 
77916 



N. CS. 1 N. S. I N. CS. 1 N. S. 



53 Deg. 



52 Deg. 



62706 177897 
62728177879 
62751 77861 
62774 77843 
62796 77824 
62819177806 
62842 77788 
2864 77769 
62887 77751 



N. CS. I N.S. 
51 D 



77715 
77696 
77678 
77660 
77641 
77623 
77605 
77586 
77568 
77550 
77531 
77513 
77494 
77476 
77458 
77439 



77421 
77402 

77384 
77366 
77347 

77329 
77310 
77292 
77273 
77255 
77236 
77218 
77199 
77181 
77162 



77144 
77125 
77107 
77088 
77070 
77051 
77033 
77014 
76996 
76977 
76959 
76940 
76921 
76903 
76884 



63966 
63989 
64011 
64033 
64056 
64078 
64100 
64123 
64145 
64167 
64190 
64212 
64234 
64256 



76866 
76847 
76828 
76810 
76791 
76772 
76754 
76735 
76717 
76698 
76679 
76661 
76642 
76623 

N. CS. 1 N.S. 

"~50 beg"" 



44 
43 
42 
41 
40 
39 
38 
37 
36 
35 
34 
33 
32 
31 
30 

29 

28 

27 

26 

25 

24 

23 

22 

21 

20 

19 

18 

17 

16 

15 

14 

13 

12 

11 

10 
9 
8 
7 
6 
5 
4 
3 
2, 
1 



100 



A TABLE OF NATURAL SINES. 



10 

11 

12 
13 
14 

15 
16 
17 
18 
19 
20 
21 
22 
•23 
24i 
25 
20 
27 
28 
29 
30 
31 
32 
33 
34 
35 
36 
37 

I 38 
39 

I 40 
41 
42 
43 
44 
45 
46 
47 
48 
49 
50 
51 
52 
53 
54 
55 

58 
59 
60 

M 



40 Deg. 



N. S. 



64279 

64301 

64323 

64346 

64368 

64390 

64412 

64435 

64457 

64479 

64501 

64524 

64546 

64568 

64590 

64612 

64635 

64657 

64179 

64701 

64723 

64746 

64768 

64790 

64812 

648S4 

64856 

64878 

64901 

64923 

64945 

4967 
64989 
650 li 
fi5033 
65055 
65077 
65099 
65122 
65144 
65166 
65188 
65210 

5232 
65254 
65S76 



65298 
65320 
65342 
65364 
65386 
65408 
65430 
65452 
65474 
65496 
65518 
65540 
65562 
65584 
6560 6 
N. r.^. 



N.CS. 
76604 
76586 
76567 
76548 
76530 
76511 
76492 
76473 
76455 
76436 
76417 
76398 
76380 
7636 i 
76342 
76323 
76304 
76286 
76267 
^48 
76229 
76210 
76192 
76173 
76154 
76135 
76il6 
76097 
76078 
76059 
76041 



41 Deg. 



N.S . 
65606 
65628 
65650 
65672 
65694 
65716 
65738 
65759 
6578 
65803 
65825 
65847 
65869 
65891 
659] 3 
65935 
65966 
65978 
66000 
66022 
66044 
66066 
6608H 
66109 
6613 1 
66153 
66175 
66197 
66218 
66240 
66202 
. A' :c2 166284 
6003 66306 
75984 66327 
75965! 66349 
75946' 6637! 
75927 i 66393 
75908-66414 
75889:86436 
75870!66458 
38511 66480 
758321 66501 
75813:66523 
75794 66545 
75775r66566 
75756r;66588 



N, CS. 



75471 

75452 



42 Deg. 



N.S. IN.CS. 



66913 74314 



66935 



5738 66610 
5719 66632 
75699|'66653 
75680|66675 
7566166697 
75642ii66718 
75623i; 66740 
75604166762 
755851166783 
755661! 66805 
75547166827 
75528 
75509 
75490 
75471 



N.S. 



49 D( 



75433:66956 
75414166978 
753951166999 
75375 67021 
753561167043 
75337|| 67064 
75318ii67086 
75299:167107 



75280 
75261 
75241 

75222 



67129 
!67151 
1 67 172 
67194 



75203=67215 
75184 !i 67237 
75165 



75146 
75126 

75107 
75088 
750R9 
75050 
75030 
75011 
74992 
74973 
74953 
74934 
74915 
7489 6 

74876 
74857 
4838 
74S18 
74799 
74780 
74760 
74741 
74722 
74703 
74683 
74664 
74644 
74625 
74808 



74586 

74567 

74548 

74528 

74509 

74489 

74470 

74451 

74431 

74412 

74392 

66848 74373 

66870 74353 

66891 74334 

66913 74314 

N.CS. I N.S. 



67258 
167280 
16730] 
67323 
67344 
67366 
67387 
67409 
67430 
67452 
67473 
67495 
S7516 
67538 
67559 



.^7580 
67602 
i7623 
■i7645 
^7668 
"^7688 
o7709 
67730 
•.H7752 
'W773 
";7795 
•■7816 
67837 
67859 
67880 



67901 
67923 
67944 
67965 
67987 
88008 
68029 
68051 
68072 
68093 
68115 
68136 



48 Deg. 



74296 
74276 
74256 
74237 
74217 
74198 
74178 
74159 
74139 
74120 
74100 
74080 
74061 
74041 
74022 



74002 
73983 
73963 
73944 
73924 
73904 
73885 
73865 
73846 
7:^826 1 
73806 i 
73787! 
73767' 
73747^ 
73728 



43 Deg. 



N.S. 



68200 
68221 
68242 
68264 
68285 
68306 
68327 
68349 
68370 
68391 
68412 
68433 
68455 
68476 
68497 
68518 



73708 
73688 
73669 
73649 
73629 
73610 
73590 
73570 
3551 
73531 
73511 
73491 
73472 
73452 
73432 



73412 

73393 

73373 

73353 

73333 

73314 

73294 

73274 

73254 

73234 

7321 

73195 



68157 73175 
68179173156 
68200173135 

N.S, 



47 Den-. 



168639 
68561 
68582 
68603 
68624 
68645 
68666 
68688 
68709 
68730 
68751 
68772 
68793 
68814 
68835 
68857 
68878 
68899 
68920 
68941 
68962 
68983 
69004 
69025 
69046 
69067 
69088 



N. CS. 



73135 
73116 
73096 
73076 
73056 
73036 
73016 
72996 
72976 
72957 
72937 
72917 
72897 
72877 
72867 
72837 
72817 
72797 
72777 
72767 
72737 
72717 
72697 
72677 
72657 
72637 
726 i 7 
72597 
72577 
72557 
72537 



44 Peg. 

N. S. N. CS. 



72517 
72497 
72477 
72457 
72437 
72417 
72397 
7237r 
72367 
72337 
72317 
72297 
69109 72277 



69130 
69151 
172 
69193 
69214 
69235 
69256 
69277 
69298 
69319 
69340 
69361 
69382 
69403 
69424 
69445 
69468 



72257 

72236 



N.CS. 



72216 
72196 
72176 
72156 
72136 
72116 
72095 
72075 
72055 
72035 
72015 
71995 
71974 
71954 
7193 4 
N. s! " 



46 beg. 



69466 

69487 

69508 

69529 

69649 

69570 

69591 

69612 

69633 

69654 

6967 

69696 

69717 

69737 

69758 

69779 



69800 
69821 
69842 
69862 

9883 
69904 
f'9925 
69946 
69966 
69987 
70008 
70029 
70049 

0070 
70091 
70112 
70132 
70153 
70174 
70195 
70215 
70236 
70257 
70277 
70298 
70319 
70339 
70360 
70381 
70401 



71934 
71914 

71894 
71873 
71853 
71833 
71813 
71792 
71772 
71752 
71732 
71711 
71691 
71671 
71650 
71630 
71610 
71690 
71569 
71649 
71529 
71508 
71488 
71468 
71447 
71427 
71407 
71386 
71366 
71345 
71325 



71305 

71284 
71284 
71243 
71223 
71203 
71182 
71162 
71141 
71121 
71100 
71080 
71059 
71039 
71019 



70422 70998 
70443 70978 
70463 70957 
70484 70937 
70505170916 
70525:70898 
70646: 70876 
70567 70866 
70687 70834 
70608170813 
70628 70793 
70649 70772 
70670 70752 
70690170731 
70711170711 



N.CS. I N.S. 



45 Deg. t 



^Sc 



J 6 4a^ 



LIBRARY OF CONGRESS 



019 408 620 9 






^li!' 



( r 



ii«air- 



»'-;^ 



■ ■■immw 







